Dear Editor,
I am writing to express my concern about the issue of leakages in Zambia. The constant leakages of natural resources such as oil, gas and minerals have been a major setback to the country's economic growth and development.
It is disheartening to note that despite the country being rich in natural resources, the benefits of these resources have not been fully realized due to leakages. This has led to a loss of revenue that could have been used to improve the lives of citizens through investments in education, healthcare, and infrastructure.
Furthermore, leakages also have negative environmental impacts, which can affect the health and wellbeing of communities living in the vicinity of these resources.
As a concerned citizen, I urge the government to take decisive action to curb leakages and ensure that the country's natural resources are utilized for the benefit of all Zambians.
Sincerely, [Your Name]
Determine if the segment lengths form a triangle. if so, would the triangle be acute, right, or obtuse
4.1, 8.2, 12.2
A.No, they do not form a triangle
Answer: D
Step-by-step explanation:
Every month, Ms. Hughes pays her car loan through automatic payments (withdrawals) from her savings account. She pays the same amount on her car each month. At the end of the year, her savings account balance changed by -$2,940 from payments made on her car loan.
What is the change in Ms. Hughes’s savings account balance each month due to her car payment? Show your work and/or explain your reasoning.
What is the total change in Ms. Hughes’s savings account balance after making six monthly payments on her car loan? Show your work and/or explain your reasoning.
After making six monthly payments on her car loan, Ms. Hughes's savings account balance will decrease by $1,470.
To find the change in Ms. Hughes's savings account balance each month due to her car payment, we can divide the total change in balance for the year ($-2,940) by the number of months in a year (12):
Change in savings account balance each month = $2,940 / 12 = -$245
So, Ms. Hughes's savings account balance decreases by $245 each month due to her car payment.
To find the total change in Ms. Hughes's savings account balance after making six monthly payments on her car loan, we can multiply the change in savings account balance each month by the number of months (6):
Total change in savings account balance after six monthly payments = -$245 * 6 = -$1,470
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trish is breaking ground for a rose garden inher backyard. the garden will be a square with a side length of 7 meters. what will be the area of the rose garden?
Answer:
the area is 49m² this because for area you have to mutiple
Step-by-step explanation:
7×7=49
The circumference of a circle is 20 cm. What is the
area, in square centimeters? Express your answer in terms
of TT.
The circumference of a circle whose area is 20π cm² in terms of pi is 8.94π centimeters.
What is the circumference of the circle?A circle is simply a closed 2-dimensional curved shape with no corners or edges.
The area of a circle is expressed mathematically as;
[tex]\text{A} = \pi \text{r}^2[/tex]
The circumference of a circle is expressed mathematically as;
[tex]\text{C} = 2\pi \text{r}[/tex]
Given that the area of the circle is 20π cm², we determine the radius of the circle.
[tex]\text{A} = \pi \text{r}^2[/tex]
[tex]20\pi \ \text{cm}^2 = \pi \times \text{r}^2[/tex]
[tex]\text{r}^2= \dfrac{ 20\pi \ \text{cm}^2}{\pi }[/tex]
[tex]\text{r}^2 = 20 \ \text{cm}^2[/tex]
[tex]\text{r} = \sqrt{20 \ \text{cm}^2}[/tex]
[tex]\text{r} = 4.47 \ \text{cm}[/tex]
Now, we determine the circumference of the circle.
[tex]\text{C} = 2\pi \text{r}[/tex]
[tex]\text{C} = 2 \times \pi \times 4.47 \ \text{cm}[/tex]
[tex]\text{C} = 8.94 \ \text{cm}\times\pi[/tex]
[tex]\text{C} = 8.94\pi[/tex]
Therefore, the circumference of the circle is 8.94π centimeters.
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what is 3/8 divided by 3
Answer:0.125
Step-by-step explanation:
I really need help with this! :'(
The expressions that are equivalent to 6x²y + 2xy⁵; are 2(3x²y + xy⁵), 2xy(3x + y⁴), xy(6x + 2y⁴) and 4xy(3/2x + 1/2y⁴). So, the correct options are a, b, e and g.
Give a brief account on algebraic equations.Algebra is known to be a branch of mathematics in which problems are represented as mathematical expressions using letters or variables (x, y, z, etc.) to represent unknown values that may change. The purpose of algebra is to understand what the unknown values are in order to find solutions to problems. The degree of an algebraic equation is the largest power that exists for the variables in the equation. Algebraic equations can be classified by degree as follows:
Linear equationsQuadratic equationsCubic equationsEquation A: 2(3x²y + xy⁵) = 6x²y + 2xy⁵
Equation B: 2xy(3x + y⁴) = 6x²y + 2xy⁵
Equation C: 2x²y(6 + 5y) = 12x²y + 10x²y²
Equation D: 6x²y.2xy⁵
Equation E: xy(6x + 2y⁴) = 6x²y + 2xy⁵
Equation F: 2y(3x + xy⁴)⁰ = 2y
Equation G: 4xy(3/2x + 1/2y⁴) = 6xy + 2xy⁵
Hence, Equation A, B, E and G are the equations found equivalent to the given equation, 6x²y + 2xy⁵.
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- Xavier earns a 15% commission on each
washing machine he sells. Last week he sold
four $450 machines. How much did he earn?
Based on the question, Xavier earned a commission of $270 on the last week.
What is the commission?Commissions is known to be a form of variable-pay remuneration that is said to be made for services given or products sold.
Note that from the question, Xavier earns a 15% commission on all washing machine he sells, so he sold four $450 machines last week.
So, the he total sale of the four machines is:
4 x $450 = $1,800
Since Xavier's commission is 15% of $1,800, it will be calculated as :
Commission = 15% x $1,800
= 0.15 x $1,800
= $270
Hence, Xavier earned a commission of $270 last week.
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Write the equation for a parabola with a focus at (-8,-1) and a directrix at y=-4
Answer:
y=(x+8)^2/6 - 5/2
Step-by-step explanation:
Khan Academy
NO LINKS!!! URGENT HELP PLEASE!!!
Express the statement as an inequality (Part 1a^2)
a. b is positive
1. b ≥ 0
2. b ≤ 0
3. b = 0
4. b > 0
5. b < 0
b. s is nonpositive
1. s ≤ 0
2. s = 0
3. s ≥ 0
4. s < 0
5. s > 0
c. w is greater than or equal to -8
1. w < -8
2. w = -8
3. w ≥ -8
4. w > -8
5. w ≤ -8
a. 4. b > 0
If b is positive, then we know it will be greater than 0.
b. 1. s ≤ 0
If s is nonpositive, this means it is negative or 0. We will use a less than or equal to symbol.
c. 3. w ≥ -8
If w is greater than or equal to -8, we will use a greater than or equal to symbol.
If $c$ is a constant such that $9x^2+10x+c$ is equal to the square of a binomial, then what is $c$?
c=25/9 for the given condition of the bionomial.
We can solve this problem by using the technique of completing the square.
First, let's assume that [tex]9x^2 + 10x + c[/tex] is equal to the square of a binomial:
[tex](3x + b)^2 = 9x^2 + 6bx + b^2[/tex]
If we compare the above expression with [tex]9x^2 + 10x + c[/tex], we can see that:
6bx = 10x, which implies that b = 5/3
b^2 = c, which implies that [tex]c = (5/3)^2 = 25/9[/tex]
Therefore, c = 25/9 is the constant that satisfies the condition
[tex]9x^2 + 10x + c[/tex] is equal to the square of a binomial.
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NO LINKS!!! URGENT HELP PLEASE!!
Express the statement as an inequality Part 5a^2
Answer:
a) x < 0 excluding zero.
b) y ≥ 0
Step-by-step explanation:
a)
"x is negative": This means that x is less than zero. Negative numbers are any numbers less than zero, so this statement implies that x is a negative number. For example, x could be -1, -2, -3, and so on.
so answer is x < 0 excluding zero.
"x > 0": This means that x is greater than zero. Positive numbers are any numbers greater than zero, so this statement implies that x is a positive number. For example, x could be 1, 2, 3, and so on."x ≤ 0": This means that x is less than or equal to zero. Non-positive numbers are any numbers less than or equal to zero, so this statement implies that x could be zero or any negative number. For example, x could be -1, -2, -3, or 0."x < 0": This means that x is strictly less than zero. This statement implies that x is a negative number, but it does not include zero. For example, x could be -1, -2, -3, and so on, but not 0."X < 20": This means that x is less than 20. Any number less than 20 satisfies this statement, so x could be any negative number, zero, or any positive number less than 20."x = 0": This means that x is exactly equal to zero. The value of x is not positive or negative, but zeroThe inequality that expresses the statement "x is less than 0" using the expression "5a^2" would be:
5a^2 > 0 and x < 0
Here, the expression "5a^2 > 0" means that the value of "5a^2" is positive for any non-zero value of "a". Therefore, the expression "5a^2 > 0" is true for all non-zero values of "a". The inequality "x < 0" means that "x" is negative, or less than zero.
So, combining the two expressions, we get the inequality:
5a^2 > 0 and x < 0
b)
The statement "y is nonnegative" means that y is greater than or equal to zero. Therefore, the valid options for y are:
"y ≥ 0": This means that y is greater than or equal to zero. Any non-negative number satisfies this statement, so y could be 0, 1, 2, and so on."y > 0": This means that y is strictly greater than zero. Any positive number satisfies this statement, so y could be 1, 2, and so on, but not 0."y ≤ 0": This means that y is less than or equal to zero. The only value that satisfies this statement is y = 0."y < 0": This means that y is strictly less than zero. No non-negative number satisfies this statement, so there are no valid options for y in this case."y = 0": This means that y is exactly equal to zero. This statement is true because zero is nonnegative.Therefore, the valid option for y is y ≥ 0.
As the given statement "y is nonnegative" cannot be expressed as an inequality involving the expression "5a^2". The expression "5a^2" is a polynomial in the variable "a", and it is not related to the variable "y" in the statement.
The inequality that expresses the statements "x is less than 0" and "y is non-negative" using the expression "5a^2" would be:
5a^2 > 0 and y ≥ 0 and x < 0
Here, the expression "5a^2 > 0" means that the value of "5a^2" is positive for any non-zero value of "a". Therefore, the expression "5a^2 > 0" is true for all non-zero values of "a".
The inequality "y ≥ 0" means that "y" is non-negative, or greater than or equal to zero.
The inequality "x < 0" means that "x" is negative, or less than zero.
So, combining the three expressions, we get the inequality:
5a^2 > 0 and y ≥ 0 and x < 0
I hope this helps!
57% chance child is born with disease, a woman has 3 kids what is the probability all 3 get the disease?
The probability that all 3 children will be born with the disease is approximately 0.195 or 19.5%.
We have,
Assuming that the probability of a child being born with the disease is independent of whether or not their siblings are born with the disease, we can use the multiplication rule of probability:
P(all 3 children have the disease)
= P(first child has the disease) x P(second child has the disease) x P(third child has the disease)
Since each child has a 57% chance of being born with the disease:
P(all 3 children have the disease)
= 0.57 x 0.57 x 0.57
Now,
P(all 3 children have the disease)
= 0.195
Therefore,
The probability that all 3 children will be born with the disease is approximately 0.195 or 19.5%.
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You are trying to determine if a router you’re thinking of purchasing will give off a strong enough wifi signal to cover the area in your house. The router you have selected will cover an area of 850 ft^2.
The wi-fi router shall not be strong enough to cover the area of the house.
How to determine whether a wi-fi router can cover a given area
According to the statement, we must determine if a wi-fi router can cover all the area of a house, described by a rectangle. The area formula of rectangle is introduced below:
A = b · h
Where:
A - Area, in square feet.b - Base, in feet.h - Height, in feet.Now we proceed to determine the area of the house:
A = (50 ft) · (50 ft)
A = 2500 ft²
The wi-fi router shall not cover the entire area of the house.
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Mrs. Jenkins gifts 10 cookies to her six sons if they share the cookies equally how many cookies should each son get
Mrs. Jenkins could divide each cookie into six equal pieces, giving each son six pieces of cookies, which would add up to 10 cookies in total.
How to solve the question?
If Mrs. Jenkins gifts 10 cookies to her six sons, the number of cookies each son should get can be found by dividing the total number of cookies by the number of sons.
So, if we divide 10 cookies equally among six sons, we get:
10 / 6 = 1.6667
This means that each son should get approximately 1.67 cookies. However, since it is not possible to divide a cookie into fractions, the actual number of cookies each son would get may vary.
To distribute the cookies equally, Mrs. Jenkins can either give each son one cookie and then divide the remaining four cookies equally among the six sons. This would give each son one cookie and each son would get an additional 4/6 or 0.67 cookies.
Alternatively, Mrs. Jenkins could divide each cookie into six equal pieces, giving each son six pieces of cookies, which would add up to 10 cookies in total.
In any case, the important thing is to ensure that each son receives an equal share of the cookies.
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YOUR COMPLETE QUESTION IS :-
Mrs. Jenkins gifts 10 cookies to her six sons if they share the cookies equally how many cookies should each son get
Which is the costant and coefficient of 5x + 12
Answer:
12 = constant
5x = coefficient
Step-by-step explanation:
12 is a constant because it can not be changed.
5 is a coefficient because it can changed by the variable (x)
Use the following scenario. Five surf shops sell the same pair of flip-flops for the following set of prices: {$17.00, $15.50, $15.00, $18.00, $15.00}.
Select all the correct measures of center and variation for the data set.
a. Range = 4
b. IQR = 2.50
c. Median = 15.50
d. Third quartile = 17.50
e. Mean = 15.80
Answer: b, c, d,
have an amazing day/night and go crush that homework!! you are loved
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100 Points! Find all the zeros of g(x)=x^4-3x^3-5x^2+3x+4. Photo attached. Please show as much work as possible. Thank you!
The answer for given polynomial is 4,1,-1.
what is polynomial?A polynomial is made up of two terms, namely Poly (which means "many") and Nominal (which means "terms."). An expression that consists of variables, constants, and exponents and that is combined using mathematical operations such as addition, subtraction, multiplication, and division (no division operation by a variable) is referred to as a polynomial. The expression is divided into three categories: monomial, binomial, and trinomial depending on how many terms are included in it.
what are zeroes?The zeros of a function are the values of its variables that meet the equation and result in the function's value being equal to 0. The zeros of a function can be represented graphically as the x-coordinates (or x-intercepts) where the graph intersects the x-axis. The discriminant formula allows us to identify whether the zeros of a quadratic function are real, complex, or repeating. As a result, when a function f(x) = 0, its zeros are x values. Therefore, if f(a) = 0, then 'a' is a zero of f(x).
according to question,
(((([tex]x^{4}[/tex])-(3•(x³)))-5x²)+3x)+4 = 0
(((([tex]x^{4}[/tex]) - 3x³) - 5x²) + 3x) + 4 = 0
Polynomial Long Division
Dividing : x4-3x3-5x2+3x+4
("Dividend")
By : x-4 ("Divisor")
dividend x4 - 3x3 - 5x2 + 3x + 4
- divisor * x3 x4 - 4x3
remainder x3 - 5x2 + 3x + 4
- divisor * x2 x3 - 4x2
remainder - x2 + 3x + 4
- divisor * -x1 - x2 + 4x
remainder - x + 4
- divisor * -x0 - x + 4
remainder 0
Quotient : x3+x2-x-1 Remainder: 0
the answer for the given polynomial by hit and trial method is 4,1,-1.
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The zeros of the polynomial is -1 , 1 and 4.
what is polynomial?
A polynomial is made up of two terms, namely Poly (which means "many") and Nominal (which means "terms."). An expression that consists of variables, constants, and exponents and that is combined using mathematical operations such as addition, subtraction, multiplication, and division (no division operation by a variable) is referred to as a polynomial. The expression is divided into three categories: monomial, binomial, and trinomial depending on how many terms are included in it.
Here the given polynomial is g(x) = [tex]x^4-3x^3-5x^2+3x+4[/tex]
To find zeros , take g(x) = 0 then
=> [tex]0=x^4-3x^3-5x^2+3x+4[/tex]
=> [tex]-x^4+3x^3+5x^2-3x-4=0\\[/tex]
=> [tex]-x^4+x^3+2x^3-2x^2+7x^2-7x+4x-4=0[/tex]
=> [tex]-x^3(x-1)+2x^2(x-1)+7x(x-1)+4(x-1)=0[/tex]
=> [tex]-(x-1)(x^3-2x^2-7x-4)=0[/tex]
=> [tex]-(x-1)(x^3+x^2-3x^2-3x-4x-4)=0[/tex]
=> [tex]-(x-1)(x^2(x+1)-3x(x+1)-4(x+1)=0[/tex]
=> [tex]-(x-1)(x+1)(x^2-3x-4)=0[/tex]
=> [tex]-(x-1)(x+1)(x^2+x-4x-4)=0[/tex]
=> -(x-1)(x+1)(x+1)(x-4)=0
=> x-1=0 , x+1=0 , x-4=0
=> x = -1,1,4
Hence the zeros of the polynomial is -1 , 1 and 4.
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The dot plot shows the height, in feet, of a group of trees being studied. How many trees are being studied? Enter the answer in the box.
Answer:
13
Step-by-step explanation:
By counting the amount of dots there is on the graph you would end up with 13 trees.
y’all which one is it cus ion kno
What is the measure of angle XYZ
The calculated measure of the arc XYZ is 83 degrees
Calculating the measures of the angle XYZFrom the question, we have the following parameters that can be used in our computation:
The circle
The angles created by secants and tangents that intersect outside a circle, which states that
The size of the angle formed by these two lines is equivalent to half the numerical difference between the measures of the arcs that they cut out from the circle.
So, we have
XYY = 1/2 * (166 - 0)
Evaluate
XYY = 83
Hence, the measure of the angle is 83 degrees
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The angle times three out of 10 of the circle what is the measure of the angle
The measure of the angle that turns through 3/10 of the circle is 108 degrees.
Define angleAn angle is a geometric figure that is formed by two rays that share a common endpoint, which is called the vertex of the angle. The rays are referred to as the sides or legs of the angle. Angles are typically measured in degrees, with a full circle measuring 360 degrees.
Angles can be classified based on their degree of measurement: acute angles are less than 90 degrees, right angles are exactly 90 degrees, obtuse angles are greater than 90 degrees but less than 180 degrees, and straight angles are exactly 180 degrees.
Since a full circle has 360 degrees, 3/10 of the circle can be represented as:
(3/10) x 360 degrees = 108 degrees
Therefore, the measure of the angle that turns through 3/10 of the circle is 108 degrees.
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The complete question is :
The angle turns through 3/10 of the circle. What is the measure of the angle?
La suma de 3 números es 70 el segundo número es el doble del primero y el tercero es el doble del segundo
The three numbers are 10, 20, and 40.'
How to solveLet's assign variables to each number:
Let x be the first number.Let y be the second number, which is twice the first number (y = 2x).Let z be the third number, which is twice the second number (z = 2y).According to the problem, the sum of these three numbers is 70:
x + y + z = 70
Now, we can substitute the expressions for y and z in terms of x:
x + 2x + 2(2x) = 70
Combine the terms:
x + 2x + 4x = 70
7x = 70
Now, divide by 7 to find the value of x:
x = 70 / 7
x = 10
Now that we have the value of x, we can find the values of y and z:
y = 2x = 2(10) = 20
z = 2y = 2(20) = 40
So, the three numbers are 10, 20, and 40.
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The question in English is
The sum of 3 numbers is 70, the second number is twice the first and the third is twice the second.
USE STRUCTURE The graph of a quadratic function has a vertex (2, 0). One point on the graph is (S. 9). Explain how to find another
point on the graph.
. It can be found by graphing the points given and sketching the parabola
Another point on the graph is (-1,
that passes through them. You can move over and up from the vertex and do the same on the opposite side of the line x=
It can be found by graphing the points given and sketching the parabola. Another point on the graph is (-1, 9) that passes through them. You can move over and up from the vertex and do the same on the opposite side of the line x = -1.
How to determine the other points for the given quadratic equation?In Mathematics and Geometry, the vertex form of a quadratic function is represented by the following mathematical equation:
f(x) = a(x - h)² + k
Where:
h and k represents the vertex of the graph.a represents the leading coefficient.Based on the information provided, the vertex is located at point (2, 0), and this ultimately implies that the axis is represented by the vertical line x = 2 that passes through the vertex.
Additionally, the parabola would be bilaterally symmetric about the above axis, and the mirror image of the point (5, 9) would also be on this parabola.
Therefore, the mirror image would have the same y-coordinate of 9 while the x-coordinate is given by:
x = 2 - (5 -2)
x = -1.
In conclusion, the required point is (-1, 9).
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Complete Question:
The graph of a quadratic function has a vertex (2, 0). One point on the graph is (5, 9). Explain how to find another point on the graph. It can be found by graphing the points given and sketching the parabola. Another point on the graph is (-1, _) that passes through them. You can move over and up from the vertex and do the same on the opposite side of the line x=
The rectangular coordinates of a point are (17,0). Find the polar coordinates.
The polar coordinates of the point (17,0) are (r,θ) = (17,0). This means that the point is located on the positive x-axis, at a distance of 17 units from the origin.
To find the polar coordinates of a point given in rectangular coordinates, we need to use the following formulas:
r = √(x² + y²)
θ = tan⁻¹(y/x)
where r is the distance from the origin to the point, and θ is the angle between the positive x-axis and the line connecting the origin and the point.
In this case, the point is (17,0), so x = 17 and y = 0. Using the formulas above, we get:
r = √(17² + 0²) = 17θ = tan⁻¹(0/17) = 0
In polar coordinates, a point is represented by an ordered pair (r,θ), where r is the distance from the origin to the point, and θ is the angle between the positive x-axis and the line connecting the origin and the point, measured in radians.
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The equity sections for Atticus Group at the beginning of the year (January 1) and end of the year (December 31) follow.
2. The total dollar amount for each cash dividend is $23,700.
Outstanding common shares, dividend and capitalization1. Calculation of outstanding common shares on each cash dividend date:
January 5: No change in outstanding shares since the date of record is January 10, which is after December 31, 2017. Therefore, the outstanding shares are 47,400 (47,400 issued - 3,000 treasury shares = 44,400 outstanding).April 5: No change in outstanding shares since the date of record is April 10, which is after December 31, 2017. Therefore, the outstanding shares are 47,400.July 5: No change in outstanding shares since the date of record is July 10, which is after December 31, 2017. Therefore, the outstanding shares are 47,400.October 5: No change in outstanding shares since the date of record is October 10, which is after December 31, 2017. Therefore, the outstanding shares are 47,400.2.
Calculation of total dollar amount for each cash dividend:
January 5: $0.50 per share x 47,400 outstanding shares = $23,700April 5: $0.50 per share x 47,400 outstanding shares = $23,700July 5: $0.50 per share x 47,400 outstanding shares = $23,700October 5: $0.50 per share x 47,400 outstanding shares = $23,700Therefore, the total dollar amount for each cash dividend is $23,700.
3.
Calculation of the capitalization of retained earnings for the stock dividend:
Market value per share on July 31: $12Number of outstanding shares before stock dividend: 47,400Number of shares to be issued for the stock dividend: 20% x 47,400 = 9,480Total value of shares to be issued for the stock dividend: 9,480 shares x $12 per share = $113,760The capitalization of retained earnings for the stock dividend is equal to the total value of shares issued, which is $113,760.Learn more on dividends here https://brainly.com/question/2960815
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The equity sections from Atticus Group’s 2016 and 2017 year-end balance sheets follow Stockholders’ Equity (December 31, 2016)
Common stock—$4 par value, 100,000 shares
authorized, 40,000 shares issued and outstanding . .. . . . . . . . . . $160,000
Paid-in capital in excess of par value, common stock .. . . . . . . . . . . . . . . . 120,000
Retained earnings .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 320,000
Total stockholders’ equity .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . $600,000
Stockholders’ Equity (December 31, 2017)
Common stock—$4 par value, 100,000 shares
authorized, 47,400 shares issued, 3,000 shares in treasury . .. . . . . . . $189,600
Paid-in capital in excess of par value, common stock . . . . . .. . . . . . . . . . . . 179,200
Retained earnings ($30,000 restricted by treasury stock) .. . . . . . . . . . . . . 400,000
768,800
Less cost of treasury stock . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (30,000)
Total stockholders’ equity . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . $738,800
The following transactions and events affected its equity during year 2017.
Jan. 5 Declared a $0.50 per share cash dividend, date of record January 10.
Mar. 20 Purchased treasury stock for cash.
Apr. 5 Declared a $0.50 per share cash dividend, date of record April 10.
July 5 Declared a $0.50 per share cash dividend, date of record July 10.
July 31 Declared a 20% stock dividend when the stock’s market value was $12 per share.
Aug. 14 Issued the stock dividend that was declared on July 31.
Oct. 5 Declared a $0.50 per share cash dividend, date of record October 10.
Required
1. How many common shares are outstanding on each cash dividend date?
2. What is the total dollar amount for each of the four cash dividends?
3. What is the amount of the capitalization of retained earnings for the stock dividend?
Can you write equation in conic form?
The equation x = 1/16y² - 1/8y + 17/16 in conic form is (y - 1)² = 16(x - 1)
Writing the equation in conic form?From the question, we have the following parameters that can be used in our computation:
x = 1/16y² - 1/8y + 17/16
Multply through the equation by 16
S, we have
16x = y² - 2y + 17
Rewrite as
16x - 17 = y² - 2y
Add the square of half the coefficient of y to both sides
So, we have
16x - 17 + 1 = y² - 2y + 1
Evaluate and express as perfect squares
16x - 16 = (y - 1)²
Factor out 16
16(x - 1) = (y - 1)²
Rewrite as
(y - 1)² = 16(x - 1)
The above equation is an equation of a parabola whose inverse has been calculated
Hence, the conic equation is (y - 1)² = 16(x - 1)
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help my compters dieing
its at 3 percent HELP PLEASE
Answer: The first number is the X-axis and the second is the Y-axis.
Step-by-step explanation:
5, 1, 4, and 2 belong in X. 35, 7, 28, and 14 belong in Y.
The rule is that X always goes first the Y goes after.
Please help I’ll upvote your work
The solution set of f(x) > 0 is x ∈ (-2, 8).
What is the set of the function?
To find the solution set of f(x) > 0, we need to first determine the critical values of x where f(x) changes sign.
Let's start by finding the domain of the function:
x² - 6x - 16 ≠ 0
We can solve for x by using the quadratic formula:
x = [6 ± √(6² + 4(16))]/2 = [6 ± √52]/2 = 3 ± √13
So the domain of f(x) is (-∞, 3 - √13) U (3 + √13, ∞).
Now let's factor the numerator and denominator of f(x):
f(x) = (x + 10)/[(x - 8)(x + 2)]
The critical points occur where the numerator or denominator of f(x) changes sign.
The numerator changes sign at x = -10, and the denominator changes sign at x = -2 and x = 8.
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What is 7x7 using an exponent
Answer:
7²
Step-by-step explanation:
You want to know what 7×7 is when it is written using an exponent.
ExponentAt its most basic, an exponent signifies repeated multiplication. It represents the number of times a value appears as a factor in the product.
The expression 7×7 has 7 as a factor 2 times. It can be written as 7 with an exponent of 2.
7×7 = 7²
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HELPP PLEASE ANSWER :)brainless! In Urge
I'll give brainliest!
1. The value of Angle STR is 19°
2. The value of arc ST is 134°
What Is circle geometry?A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident.
Part of circle theorem states that: The angle in the same segment are equal.
1. Therefore the value of angle STR is calculated as;
= 180- ( 90+71)
= 180- 161
= 19°
2. The value of arc ST is calculated as;
Since arc SR = QR = 46°
representing the value of arc ST by x
therefore,
46+46+x+x = 360
92 +2x = 360
2x = 360-92
2x = 268
divide both sides by 2
x = 268/2
x = 134°
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