The ratio of the musicians to fashion professionals is 13 : 32
what is the ratio of the musicians to fashion professionals?Total number of people on the guest list= 45
Number of musicians= 13
Number of fashion professionals = Total number of people on the guest list - Number of musicians
= 45 - 13
= 32 people
The ratio of the musicians to fashion professionals = 13 : 32
Ultimately, based on the given situation the ratio of musicians to fashion professionals = 13 : 32
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Mr. Bajada paid 200000 as down payment for a farm. The remaining amount is to be settled by paying 16 200 at the end of each month for 5 years. If interest is 5 % compounded semi annually what is the cash price of his farm
If interest is 5% compounded semi-annually, the cash price of his farm is P 915625.
Compound interest is the interest you gain on interest. This can be illustrated by using basic math: if you have P 100 and it earns 5% interest each year, you'll have P 105 at the end of the first year. At the end of the second year, you'll have P 110.25.
Down payment = P 200000
Amount paid in monthly instalments = 60 × 16200 = P 972000
Total amount paid = P 200000 + P 972000 = P 1172000
A = P(1+r/100)¹⁰
11,72,000 = P (1+5/200)¹⁰
11,72,000 = P(1.025)¹⁰
P = 11,72,000/(1.025)¹⁰
= 11,72,000/1.28
= 915625 P
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Do you think you can determine the imaginary solutions by examining the graph? Explain your reasoning.
The answer to whether or not it is possible to determine imaginary solutions by examining the graph of p(x)=x^2+1 is no.
What is function?Function is a block of code that performs a specific task. It is a reusable code that can be called multiple times with different parameters. Functions are an important part of programming because they allow you to reuse code and make your code more organized and efficient. Functions also make it easier to debug code, as errors can be contained to a single function instead of spreading throughout the entire program.
The graph of this function does not contain any imaginary solutions, instead it is a parabola with its vertex at the origin and its axis of symmetry being the y-axis. This can be seen from the graph, as the graph is symmetrical about the y-axis and does not contain any points in the fourth quadrant, meaning that any solutions that would fall in this quadrant would be imaginary.
In addition, imaginary solutions cannot be determined from this graph, as the imaginary solutions would not be visible on the graph. Imaginary solutions are solutions that are not real, meaning they are not visible on the graph, as they do not exist in the real number system. This is because the graph only displays real number solutions, not imaginary ones.
Therefore, it is not possible to determine imaginary solutions by examining the graph of p(x)=x^2+1, as the graph only displays real number solutions, and imaginary solutions cannot be seen on the graph.
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En la ciudadela de soacha de ciudad verde se identifico que el 60% de las familias residentes tienen vehiculo propio. Si se desea realizar una investigacion de mercado con dicha poblacion sobre consumo de gasolina. Cual debe ser el tamaño de la muestra teniendo en cuenta un nivel de confianza del 95% y de error de 0. 03?
The size of the exhibition is roughly 717 families.
Error is the difference between a genuine value and an estimate, or approximate, representation of that value in practical mathematics. The discrepancy between the mean of the complete population and the mean of a sample taken from that population is a frequent example in statistics.
Datos:
a 95% confidence level
Significance level = 1-0,95 = 0,05
Zα = -1,64
e = 0,03
p = 0,6
q= 0,4
The size of the display for an infinite population is:
n= Zα²*p*q/e²
n = (1,64)² *0,6*0,4/(0,03) (0,03)²
n = 717
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SLOPE TOPIC!! . Determine a possible second point with a y-coordinate of 8.
Please help!!! I will give brainliest
A possible second point which has a y-coordinate of 8 is 5.
How to calculate the slope of a line?In Mathematics, the slope of any straight line can be determined by using this mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Based on the information provided, we can logically deduce the following slope and data points on the line:
Points on x-axis = (1, 2).Points on y-axis = (_, 8).Slope (m) = 3/2Substituting the given points into the slope formula, we have the following;
Slope, m = (y₂ - y₁)/(x₂ - x₁)
3/2 = (8 - 2)/(x₂ - 1)
3/2 = 6/(x₂ - 1)
Cross-multiplying, we have:
3(x₂ - 1) = 12
x₂ - 1 = 12/3
x₂ - 1 = 4
x₂ = 4 + 1
x₂ = 5
In conclusion, the required second point (x₂) is equal to 5.
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What are two ways to represent 4/5? Move numbers to the boxes two equation.
Answer:
are you allowed to repeat numbers?
if so, the first one will be 2/5 + 2/5
if not, the first one will be 1/5 + 3/5
for the second one, the only possible combination would be 1/5 + 2/5 + 1/5
Step-by-step explanation:
draw a line representing the rise and a line representing the run of the line. state the slope of the line in simplest form.
The slope of the line in simplest form is 1/1, or 1.
The line has a rise of 3 units and a run of 4 units. The slope of the line can be represented by the formula "rise/run" and can be calculated as follows: slope = 3/4. The slope of the line in simplest form is 3/4.
To calculate the slope of the line, we need to divide the rise by the run. In this case, the rise is 3 units and the run is 4 units. To calculate the slope, we divide 3 by 4. This gives us a slope of 3/4.
The slope of the line can also be written in simplest form. Simplest form means that we simplify the fraction as much as possible. We can do this by dividing both the numerator and the denominator by the same number until they cannot be divided any further. In this case, the numerator and the denominator are both divisible by 3. We can divide 3 by 3 to get 1, and divide 4 by 3 to get 1. Therefore, the slope of the line in simplest form is 1/1, or 1.
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Question 2 Assuming you know the coordinates of the key points (vertex, foci, directrix), explain how to graph the functions of a parabola
A parabola's vertex, which is its maximum or minimum, and focus, which is a fixed point inside the parabola, are both mathematical terms. The parabola's axis is parallel to the directrix, which lies outside the parabola.
How to Find the Focus, Vertex, and Directrix of a Parabola?Vertex, Focus, and Directrix are the three elements that make up a parabola. A parabola's vertex, which is its maximum or minimum, and focus, which is a fixed point inside the parabola, are both mathematical terms. The parabola's axis is parallel to the directrix, which lies outside the parabola.When a parabola opens upwards or downwards, the typical form is (xh)2=4p(yk), where the directrix is y=kp and the focus is h,k+p.When a parabola opens to the right or left, the typical form is (y+k)2=4p(xh), with h+p,k as the focus and x=hp as the directrix.Y=ax2+bx+c is a parabola; hence,
Focus: (b2a,4ac,b2+14a), Directrix: y=c(b2+1)4a, Vertex: (b2a,4ac,b24a).To Learn more About parabola's vertex Refer To:
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3. A quadrilateral will be dilated on a coordinate grid to
create a larger polygon. The polygon is dilated using the
origin as the center of dilation. Which rule could represent
this dilation? 8.3C
A.(x,y) (0.5x, 0.5y)
B. (x,y) → (1/2x, 1/2y)
C. (x,y) → (7/5x,7/5 y)
D. (x,y) → (0.4x, 0.4y)
Therefore , the solution of the given problem of quadrilateral comes out to be the centre of dilatation to produce a smaller polygon (0.9x, 0.9y).
Describe a quadrilateral.In geometry, a four-sided object having four corners is referred to as a quadrilateral. The word comes from either the Latin quad or portfolio of innovative (meaning "side"). Four corners, four states, and four corners are the three dimensions of a rectangle. Concave and convex surfaces come in essentially two varieties. Convex quadrilaterals also include the subclasses of trapezoids, parallelograms, angles, rhombuses, and squares.
Here,
The rule that can describe this is (x, y). The polygon is expanded to use the beginning as the point of dilatation to generate a smaller polygon. (0.9x, 0.9y)
A point is transformed when it is moved from its original location to something like a new one. Reflection, rotation, translation, and dilation are examples of different transformations.
The term "dilation" refers to an alteration in a figure's size.
The clear element is A' if a position A(x, y) is stretched by a factor k. (kx, ky). It is a decrease if k 1 and an enlargement if k > 1.
The rule that can describe this is (x, y). The hexagon is dilated to use the beginning as the centre of dilatation to produce a smaller polygon.
(0.9x, 0.9y)
Therefore , the solution of the given problem of quadrilateral comes out to be the centre of dilatation to produce a smaller polygon (0.9x, 0.9y).
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10-10x10+10÷10 try to solve it
Answer:
1
Step-by-step explanation:
10-10
0x10
0+10
10/1
1
Reflect ABC across the y-axis.
A (0,2) B (3, -2) C(-3,-2)
Answer: just graph it on the y-axis
Step-by-step explanation:
please help with part 2 also
The price of the first pastry and the filled donuts are 0.72 and 1.1 dollars respectively.
How to find the price of each type of pastry?Bill and Mary Ann went to the viola bakery. Bill bough 3 pastry and 8 filled donuts for 10.96 dollars. Mary Ann bought 4 of each for 7.28 dollars.
Therefore, the price of each type of pastry can be calculated as follows:
using equation,
let
cost of each pastry = x
cost of each filled donuts = y
Therefore,
3x + 8y = 10.96
4x + 4y = 7.28
Multiply equation(ii) by 2
3x + 8y = 10.96
8x + 8y = 14.56
subtract the equation
5x = 3.6
divide both sides by 5
x = 3.6 / 5
x = 0.72
Let's find y
4y = 7.28 - 4(0.72)
4y = 7.28 - 2.88
4y = 4.4
y = 4.4 / 4
y = 1.1
Therefore,
price of the first pastry = 0.72 dollars
price of filled donuts = 1.1 dollars
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Triangle NOP is formed by connecting the midpoints of the side of triangle
KLM. The measures of the interior angles of triangle KLM are shown.
Find the measure of ZMOP. Figures not necessarily drawn to scale.
K
34°
P
M
72°
N
74
L
ZMOP must have a measure of 60°.
What is triangle?A triangle is a three-sided polygon that is one of the most basic shapes in geometry. It is defined by three points, known as its vertices, and the straight lines connecting them. Triangles come in many different shapes and sizes, and can be classified by their angles, sides, and area. Triangles have many uses in mathematics, for example, to calculate interior angles, calculate area and perimeter, or to prove certain geometric theorems.
In order to find the measure of ZMOP, we must first look at the structure of triangle NOP. Since it is formed by connecting the midpoints of the sides of triangle KLM, it can be classified as an equilateral triangle. This means that all three of its interior angles are equal in measure. Therefore, ZMOP must have a measure of 60°. This is because the sum of all three interior angles of an equilateral triangle is 180°, and since the other two angles have measures of 34° and 74°, the third angle must have a measure of 180° - (34° + 74°) = 60°.
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What kind of triangle has 2 equal sides *?
An isosceles triangle is a triangle with two equal sides.
An isosceles triangle is one with two sides that are the same length. An isosceles triangle's two angles, opposite to equal sides, are equal in size.
Also, the two angles opposite the two equal sides are equal. In other words, we can say that “An isosceles triangle is a triangle which has two congruent sides".
Triangles are three-sided polygons that are categorized into three types based on their sides, such as:
Scalene triangle (All three sides are unequal)
Isosceles triangle (Only two sides are equal)
Equilateral triangle (All three sides are equal)
Thus, An isosceles triangle is a triangle with two equal sides.
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Evaluate: f(g(0))
Pre cal test question
Our succinct response is therefore 8 . Functions are typically denoted by the letter f. (x).
what is functions ?Mathematics deals with numbers and their variants, equations and related structures, shapes and their locations, and locations where they might be found. The term "function" describes the connection between a group of inputs, each of which has a corresponding output. A function is an association between inputs and outputs where each input results in a single, unique output. Functions are typically denoted by the letter f. (x). The input is an x. On functions, one-to-one functions, many-to-one functions, within functions, and on functions are the four main categories of functions that are available.
given
To locate f(h(7)), two functions are presented to us.
Finding h(7) h(x)=x3343
h(7)=73343=343343=0 would be my first step.
Knowing h(7) now allows us to enter it into f. (x).
f(x)=5x2−13x+8
f(0)=5⋅02−13⋅0+8=8
Our succinct response is therefore 8 . Functions are typically denoted by the letter f. (x).
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What is the multiplicative inverse of 4 /- 9?
The multiplicative inverse is explained as the reciprocal of a specified number. It is used to clarify mathematical expressions.
The word 'inverse' implies something contrary/ opposite in effect, order, position, or direction. Any number when it is multiplied by its multiplicative inverse results in always one.
Find the multiplicative inverse of positive integers is similar to natural numbers (explained above).
Just like positive integers, the multiplication of a negative number and its reciprocal must be equal to one. hence, the multiplicative inverse of any negative number is it is reciprocal.
The multiplication inverse of 4/-9 is:
So, the inverse of 4/-9 is = -9/4.
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PLEASE HELP A 25,000-mile steel band is placed around the earth, snugly fit at the equator. The band is cut, and 36 inches of string is spliced into the steel band. This new, larger circular band is placed around the earth, so its center coincides with the center of the earth, and a gap is created. How wide is this gap?
When you have finished, post your work showing the formula used for calculating the gap (g), show all calculations solving for g (gap), and a statement interpreting the results of your work.
The distance is roughly 6 inches wide, The gap is actually the same width as the one made by adding 36 inches of thread to a band that is wrapped around a nickel.
Circumference of circle,
C=2лr
The radius must rise if the circumference grows by 36 inches. Call the increase in radius g "gap," please.
Therefore, r+g is the new, greater radius. Based on the formula, we may construct an equation for the larger circle.
C+36=2π(r+g)
C+36=2x+2лg
We may take these equal amounts off of both sides of the equation because C = 2r.
36=2πg
To find g, divide both sides by 2л. The spacing is just under 6 inches because 2n is roughly 6. The equation explains why the starting circumference has no bearing on the result; as a result, the earth and the nickel produce the identical gaps.
Drawing a graph demonstrates the logic behind this response. C = 2r enables us to write the following:
r = c/2π
This equation has a graph on the r, C axes that is a straight line with a slope of 1/(2л) and a zero y-intercept. The graph demonstrates that regardless of the initial circumference, any 36-inch increase in circumference results in the same (roughly 6-inch) rise in radius.
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Which of the following expression has the value 37?a) 10 x 3 + (5 + 2)
b) 10 X 4+ (5-2)
c) 10 x 3 + 3
d)(9 x 3) + 27
Answer:
a is the answer.
10x3 is 30 plus (5+2) is 37. using the order of operations.
A model rocket is launched with an initial upward velocity of (126ft)/(s. ) The rocket's height h (in feet) after t seconds is given by the following. H=126t-16t^(2) Find all values of t for which the rocket's height is 50 feet
At a height of 50 feet, the value of t is 7.46 seconds.
As previously mentioned, the rocket's initial upward velocity is 126 ft/s.[tex]126t-16t^2[/tex] is the equation in terms of time.
The rocket is 50 feet tall, hence in the equation height equals time, it is
therefore ,
50 = [tex]126t-16t^2[/tex]
[tex]16t^2 -126t-50=0\\[/tex]
by finding the roots of the quadratic equation
[tex]\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
where the value of b is -126
the value of a is 16
the value of c is 50
[tex]\frac{-(-126) \pm\sqrt{126^2-4(16)50} }{2(16)}[/tex]
=> [tex]\frac{126 \pm\sqrt{15876-3200} }{32}[/tex]
=> [tex]\frac{126 \pm\ 112 }{32}[/tex]
for one value of t is (126 + 112)/32
t = 7.46 seconds
for the other value of t that is ( 126-112) /32
t = 0.42
In other words, this indicates that immediately after launch, the rocket reaches 50 feet from below in 0.42 seconds, and then, after falling back down, it reaches 50 feet this time from above in 7.46 seconds.
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The quantities x and y are proportional. What is the missing value in the table?
Answer:
D
Step-by-step explanation:
[tex]\frac{10}{\frac{5}{7} }[/tex] = [tex]\frac{y}{4}[/tex] Cross multiply and solve for y
[tex]\frac{5}{7}[/tex] y = 40 Multiply both sides by [tex]\frac{7}{5}[/tex]
[tex](\frac{7}{5})[/tex][tex](\frac{5}{7})[/tex] y = [tex](\frac{7}{5})[/tex] [tex](\frac{40}{1})[/tex]
y = 56
What are trigonometric ratios Class 10?
The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The trigonometric ratios of any acute angle are the ratios of the sides of a right-angled triangle with respect to that acute angle.
Trigonometry is a discipline of mathematics that deals with the sides and angles of a right-angled triangle in geometry. As a result, trig ratios are evaluated in terms of sides and angles.
Thus, The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
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What is the product 4y 3 )( 2y² 3y 5?
The product of 4y3)(2y2 3y5 is 48y6. The expression can also be written as 4y3 × 2y2 × 3y5, which yields the same result. By multiplying each factor in the expression, the product of 4y3)(2y2 3y5 is 48y6.
The first part of this expression is 4y3. This can be simplified to 12y3.
The second part of the expression is 2y2 3y5. This can be simplified to 2y2 + 3y5, which is equal to 5y7.
Multiplying 12y3 and 5y7 yields 48y6.
The product of 4y3)(2y2 3y5 is 48y6.
The expression 4y3)(2y2 3y5 is composed of two factors, 4y3 and 2y2 3y5. After simplifying the factors, the expression can be written as 12y3 × 5y7. When multiplying these two factors, the product is 48y6. This means that the product of 4y3)(2y2 3y5 is 48y6. The expression can also be written as 4y3 × 2y2 × 3y5, which yields the same result. By multiplying each factor in the expression, the product of 4y3)(2y2 3y5 is 48y6.
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What is the equation written in vertex from of a parabola with a vertex of (4, –2) that passes through (2,0)?
The equation of parabola is y=1/2(x-4)^2-2.
Vertex of (4, –2) that passes through (2,0)
We can use the vertex form of the quadratic equation:y = a(x - h)² + k
k=-2,h=4
Substitute these values into the vertex form to solve for a:
y = a(x - h)² + k
When x=2,y=0
a=1/2
Therefore, the quadratic equation in vertex form is:y = a(x - h)² + k
k=-2,h=4
The equation of such a parabola is y=1/2(x-4)^2-2
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23.f(s) = Vs - 1 ÷Vs + 1 .Find the derivatives.
Answer:The derivative of f(s)
Step-by-step explanation:
The derivative of f(s) = (Vs - 1)/(Vs + 1) with respect to s is
df/ds = (V(Vs + 1) - (Vs - 1)V)/(Vs + 1)^2
= (V^2 -1)/(Vs + 1)^2
How many solutions you can obtain for a system of linear equations in 2 variables?
Answer: The slopes of the two equations are the same but the intercepts are different; therefore the lines are parallel and the system has no solutions. This is an inconsistent system.
Find the area of the shaded regions below. Give your answer as a completely simplified exact value in term of pie.
1) The area of the shaded portion is; 63π
2) The area of the shaded portion is; 4π - 8√2
How to find the area of the shaded region?1) The formula for area of a circle is;
A = πr²
where r is radius
The radius here is 9cm and so;
A = π * 9²
A = 81π
The area of a sector is given by the formula;
(θ/360) * πr²
Thus;
A_sect = (80/360) * π * 9²
A_sect = 18π
Area of shaded region = 81π - 18π
Area of shaded region = 63π
2) Using trigonometric ratio, we can find the diameter LN as;
4/LN = cos 45
4/LN = 1/√2
LN = 4√2
Formula for area of semi circle is;
A = ¹/₂πr²
A = ¹/₂ * π * (¹/₂ * 4√2)²
A = ¹/₂ * π * 8
A = 4π
Area of triangle = ¹/₂ * 4 * 4√2
= 8√2
Area of shaded portion = 4π - 8√2
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How many solutions does the system of linear equations represented in the graph have? Coordinate plane with one line that passes through the points 0 comma 2 and 3 comma 3 and another line that passes through the points 0 comma negative 1 and 3 comma 0.
Answer:
Step-by-step explanation:
ntroducción Recuerda que una ecuación lineal se grafica como una recta, que indica que todos los puntos de una recta son soluciones de la ecuación lineal. Existe un número infinito de soluciones. Si tenemos un sistema de ecuaciones lineales, la solución del sistema es el valor que hace válidas todas las ecuaciones.
Evaluate: 128{1/7}
a:2
b:4
c:8
d:not a real number
None of the given answers are correct, The value of 128{1/7} will be a fraction number.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Given a number 128{1/7}
Simplification of this number
=> 128(1/7)
=> 18.28
therefore, the Given number is a fraction number or a real number.
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What is a vertical line example?
Vertical Line is a line that runs perpendicular to the Y-axis. It runs in a straight line from top to bottom and vice versa. Any point along this line will have the same x-coordinate value.
No slope exists along the vertical lines. Since it follows the y-axis parallel, the slope cannot be determined. As a result, x = an is the equation for the vertical line that, at any point, say "a," crosses the x-axis.
Since a vertical line has no y-intercept and 0 for the slope denominator, its slope is infinity or undefined.
In mathematics, we use a vertical line to determine whether the relationship is a function. If all vertical lines crossed it no less than once, it would be a function. Another name for this is the vertical line test. If a graph only has one output (y) for each input (x), it will be regarded as a function. A vertical line is therefore not a function.
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Greg took a job through an employment agency. The job offers an annual salary of $28,600, which is paid weekly. Greg will have to pay the agency a fee of 23% of his first four weeks' pay. Calculate the fee. Show all working.
Answer: To calculate the fee, we need to know the annual salary, the percentage fee and the number of weeks that the fee will be applied. In this case, the annual salary is $28,600, the fee is 23% and the number of weeks is 4.
First, we need to calculate the weekly pay by dividing the annual salary by 52 weeks in a year:
Weekly Pay = $28,600 / 52
Weekly Pay = $550
Then we can calculate the amount of money that the agency will charge for the first four weeks by multiplying the weekly pay by the number of weeks:
4 Weeks Pay = 4 x $550
4 Weeks Pay = $2200
Now, we can calculate the fee by multiplying the 4 weeks pay by 23%:
Fee = $2200 x (23 / 100)
Fee = $506
So, the agency will charge Greg a fee of $506 for the first four weeks of his job.
Step-by-step explanation:
A tree, standing vertically, is on a slope that is inclined at an angle of 10° with the horizontal. When the angle of elevation of the sun measures 25°, the shadow of the tree down the slope is 42 feet long. How tall is the tree?
The height of the tree standing vertically is 102.45 feet.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know the sine rule for triangles, a/sinA = b/sinB = c/sinC.
Let, The height of the tree be 'x' inclined at an angle of 10°.
Therefore, From the given information,
x/sin10° = 42/sin25°.
x = (42×0.422)/0.173.
x = 102.45.
So, the height of the tree is 102.45 feet.
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