Based on the number of people who are engineers and those who are chemical engineers, the percentage who are chemical engineers is 2.01%
How to find the percentage?To find the percentage of something out of the total number, the formula is:
= Number of selected variables / Total number of variables x 100%
The selected variable here is chemical engineers so the percentage of chemical engineers out of the total number of engineers is:
= Number of chemical engineers / Total number of engineers x 100%
= 27,860 / 1,326,800 x 100%
= 2.01%
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Three vertices of a parallelogram are shown in the figure below.
Give the coordinates of the fourth vertex.
Answer:
(-5, -3)
Step-by-step explanation:
We can use the fact that the diagonals of a parallelogram bisect each other
Let me classify the points as
A (-4, 7)
B (2, -5)
C (3, 5)
Let us assume the 4th vertex is D(x, y) where x and y have to be determined
We will assume that AB is the diagonal of the parallelogram ABCD
The midpoint of a line segment from (x1, y1) to (x2, y2) is given by
(1/2)(x1 + x2, y1 + y2) ie the average of their x and coordinates
If we let O be the midpoint of AB, coordinates of O are
1/2 x (-4 + 2, 7 -5) = 1/2 x ( -2, 2) = (-1, 1)
We know the other diagonal CD must pass through point O and O is also the midpoint of CD
Therefore if coordinates of D are (x, y)
then x-coordinate of O which is -1 should be the average of x coordinate of C and x coordinate of D
==> - 1 = (3 + x)/2
=> -2 = 3 + x
=> -2 - 3 = x
=> -5 = x
=> x = -5
Similarly
1 = (5 + y)/2
=> 2 = 5 + y
=> 2 - 5 = y
=> -3 = y
y = -3
So the coordinate of the fourth vertex D are (-3, -5)
Check the attached graphs for a clearer understanding
Help complete Kohana’s pattern by entering rules to transform each figure from the table?
Answer:
Step-by-step explanation:
hshshaahhs
PLEASE HELP
find two functions define implicity by this equation. x + y^2 = 25
PHOTO ATTACHED
Answer:
y = √25 - x
y = -√25 - x
Step-by-step explanation:
x + y² = 25
-x -x
----------------------
y² = -x + 25
√y² = √-x + 25
y = √25 - x
y = -√25 - x
I hope this helps!
j(x) = 3x² + 2x – 5
Find J(3)
Answer:
28
Step-by-step explanation:
J(x) = 3x^2 + 2x - 5
they have asked us to find J(3), therefore substitute x with 3 throughout the equation.
j(3) = 3*3^2 + 2*3 - 5
J(3) = 3*9 + 6 - 5
J(3) = 27 + 6 - 5
J(3) = 33 - 5 = 28
What is the property of the following equation:
2/5 • 5/2 = 1
Answer:
Communitave Property
Step-by-step explanation:
Hope this helps!<3°
If K=tm^(p/q) create a formula for q
The formula for q will be q = p*logm/(logK - logt)
Logarithm
A logarithm is defined as the power to which a number must be raised to get some other values. It is the most convenient way to express large numbers. A logarithm has various important properties that prove multiplication and division of logarithms can also be written in the form of logarithm of addition and subtraction.
Given equation:
[tex]K=tm^{(\frac{p}{q} )}[/tex]
We have to find a formula for q.
Raising the whole equation to the power of q, we get
[tex]K^q=t^qm^{p}[/tex]
We can rewrite it as,
[tex]\frac{K^q}{t^q}=m^p[/tex]
[tex](\frac{K}{t})^q=m^p[/tex]
Operating with logarithm on both sides, we get,
q*log(K/t) = p*logm
q = p*logm/log(K/t) = p*logm/(logK - logt)
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A particle moves in a circular orbit x^2+y^2=16. As it passes through the point (2,2sqrt3), its y-coordinate decreases at a rate of 3 units per second. at what rate is x-coordinate changing?
The rate at which the x-coordinate is changing is 3√3 units per second .
In the question ,
it is given that
the equation of the particle moving in the circular orbit is x²+y²=16
given the y coordinate decreases at 3units per second
So, dy/dt = -3.
to find the rate at which the x-coordinate is changing , we will differentiate the given equation.
Differentiating the equation x²+y²=16 with respect to t , we get
d/dt(x²+y²) = d/dt(16)
2x(dx/dt) + 2y(dy/dt) = 0
2x(dx/dt) = -2y(dy/dt)
Dividing both sides by 2 ,
we get ,
x(dx/dt) = -y(dy/dt)
[tex]\frac{dx}{dt} =\frac{-y(\frac{dy}{dt}) }{x}[/tex]
As the particle is passing through the point (2,2√3) , So, the point will satisfy the equation.
Substituting the value of x=2 , y=2√3 and dy/dt= -3 ,
we get ,
dx/dt = ((-2√3)*(-3))/2
= (6√3)/2
= 3√3
Therefore , the rate at which the x-coordinate is changing is 3√3 units per second .
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Please answer the questions at the top.
Answer: Let's be honest, no one knows the answer. Unless you want to pay coursehero $9.95/mo for an answer and step-by-step explanation, you're toast.
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Simply put, your grade is toast.
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I'm in math 1 honors and I forgot a subject to far into the grade and I need help solving a couple questions its the average rate of change in weeks
Week
x
Number of Animals
x f(x)
1, 62
2, 73
3, 78
4, 86
5, 91
What was the average rate of change from week 1 to week 4?
how would i go about solving this
The average rate of change from week 1 to week 4 is 3 animals per week.
What is mean?It should be noted that a mean simply refers to the average set of numbers that are given.
This will be illustrated as thus:
The total number of rate of change animals from week 1 to week 4 will be:
= (73 - 62) + (78 - 73) + (86 - 78)
= 11 + 5 + 8.
= 24
Therefore, the average will be:
= Total changes / Number of weeks
= 24 / 8.
= 3
Therefore, there's an average of 3 animals added every week.
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What value of c in the equation 7c-cy=10x will give a line
with slope +5?
The value of c in the equation 7c - cy = 10x will give a line with slope +5 is -2.
We can rewrite the equation as:-
-cy = 10x - 7c
y = (-10/c) x + 7
Now the equation is in slope-intercept form which is given by:-
y = mx + b
Where,
m represents the slope of the line
b represents the y-intercept of the line
(x,y) represents ordered pair of each point of the line
Comparing both the equations, we get
m = -10/c
b = 7
We have to get m = +5
Hence, equating both the values of m, we get
5 = -10/c
c = -10/5
c = -2
Hence, the value of c is -2.
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Please help
Use the information provided to determine the value of x.
Answer:
70°
Step-by-step explanation:
The sum of the interior angles is 180. Subtract the 40 that you know about and you have 140. Since the two sides are equal, the angles opposite them are equal. 140/2 = 70
A line passes through the point (2,7) and has a slope of 5/2 Write an equation in slope-intercept form for this line.
Answer:
y = (5/2)x + 2
Step-by-step explanation:
(2, 7)
(x₁, y₁)
m = (5/2)
y - y₁ = m(x - x₁)
y - 7 = (5/2)(x - 2)
y - 7 = (5/2)x - 5
+7 +7
------------------------
y = (5/2)x + 2
I hope this helps!
A line goes through the points (9,8) and (-3,4).
What is the slope of the line? Show your work
Write the equation of the line in point-slope form. Show your work
Write the equation of the line in slope-intercept form. Show your work.
Answer:
[tex]\textsf{Slope}: \quad \dfrac{1}{3}[/tex]
[tex]\textsf{Point-slope form}: \quad y-8=\dfrac{1}{3}(x-9)[/tex]
[tex]\textsf{Slope-intercept form}: \quad y=\dfrac{1}{3}x+5[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{4 cm}\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]
Define the given points:
(x₁, y₁) = (9, 8)(x₂, y₂) = (-3, 4)Substitute the defined points into the slope formula:
[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{4-8}{-3-9}=\dfrac{-4}{-12}=\dfrac{1}{3}[/tex]
[tex]\boxed{\begin{minipage}{4.6 cm}\underline{Point-slope formula}\\\\$y-y_1=m(x-x_1)$\\\\where $m$ is the slope and\\ $(x_1,y_1)$ is a point on the line.\end{minipage}}[/tex]
Substitute point (9, 8) and the found slope into the point-slope formula:
[tex]\implies y-8=\dfrac{1}{3}(x-9)[/tex]
[tex]\boxed{\begin{minipage}{3.8 cm}\underline{Slope-intercept formula}\\\\$y=mx+b$\\\\where $m$ is the slope\\ and $b$ is the $y$-intercept.\end{minipage}}[/tex]
To write the equation of the line in slope-intercept form, rearrange the point-slope formula:
[tex]\implies y-8=\dfrac{1}{3}(x-9)[/tex]
[tex]\implies y-8=\dfrac{1}{3}x-3[/tex]
[tex]\implies y-8+8=\dfrac{1}{3}x-3+8[/tex]
[tex]\implies y=\dfrac{1}{3}x+5[/tex]
Is the relation in this set of points a function? {(-2, 6) , (4, 5) , (3, -3) , (6, 9), (4, -4)}
State whether the statement is true of false.
1. The relation is a function.
2. An element from the domain is paired with more than one element from the range.
Answer: 2.An element from the domain is paired with more than one element from the range.
Step-by-step explanation:
I did the quiz
Correct me if im wrong
Have a great day!
PLS HELP ME I DON'T KNOW WHAT TO DO PLEASE HELP ◑︿◐
Complete each exercise about the pairs of fraction bars
1. What equivalent fractions are shown? _____
2. Identify the multiplier. _____
3. What equivalent fractions are shown? ______
4. Identify the divisor. ______
I WIL GIVE BRAINLIEST 5 FOR WHOE EVER ANSWERS MY QUESTION (Add a picture)
The equivalent fractions shown on the fraction bar is 3/4 and 6/8.
The multiplier is 2.
The equivalent fractions shown on the fraction bar are 4/6 and 12/18.
The divisor is 3.
What are the equivalent fractions?A fraction is a non whole number that is made up of a numerator and a denominator. The numerator is the number above the line and the denominator or divisor is the number below the line. An example of a fraction is 1/10. 1 is the numerator and 10 is the denominator.
Equivalent fractions are fractions that have different numerators and denominators but when expressed in its simplest form, they are the same fractions. For example, 1/2 and 3/6 are equivalent fractions because when 3/6 is expressed in its simplest form, it is 1/2.
In the first fraction bar given, there are 4 bars and 3 are shaded. Thus, the fraction it represents is 4/6. Likewise in the second fraction bar, 6 are shaded and there are 8 bars.
In the third fraction bar, 12 are shaded and there are a total of 18 bars. The fraction is 12/18. In the fourth fraction bar, 4 are shaded and there are 6 total bars. The fraction is 4/6.
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Over the last 3 evenings, Maria received a total of 74 phone calls at the call center. The second evening, she received 10 more calls than the first evening. The
third evening, she received 2 times as many calls as the second evening. How many phone calls did she receive each evening?
Number of phone calls the first evening:
Number of phone calls the second evening:
Number of phone calls the third evening:
The number of phone calls on the first evening is 16. The number of phone calls on the second evening is 26. The number of phone calls on the third evening is 32.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Over the last 3 evenings, Maria received a total of 74 phone calls at the call centre. The second evening, she received 10 more calls than the first evening. On the third evening, she received 2 times as many calls as the second evening.
The number of phone calls on the first evening:- x
The number of phone calls on the second evening:- x + 10
The number of phone calls on the third evening:- 2x
x + x + 10 + 2x = 74
4x = 74 - 10
4x = 64
x = 16
The number of phone calls on the second evening:-
x + 10
16 + 10 = 26
The number of phone calls on the third evening:-
2x = 2 x 16 = 32
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Which of the following expressions represents the distance between -4 and 1
a) ∣−4+1∣
b) ∣−4−1∣
c) None of the above
HELP LAST QUESTION
multiple the polynomials (3x^2 - 5x +7) and (2x^2 + x - 2) simply the answer
Answer:
Use the distributive property to solve this.
(3x²-5x+7)(2x²+x-2)
= 6x⁴+3x³-6x²-10x³-5x²+10x+14x²+7x-14
= 6x⁴-7x³+3x²+17x-14
What is the next fraction in this sequence? Simplify your answer. 17/ 18 , 8 /9 , 5/ 6 , 7/ 9 , ...
The next fraction in the given sequence is 13/18
In this question, we have been given a sequence of fractions.
17/ 18 , 8 /9 , 5/ 6 , 7/ 9 , . . .
We need to determine the next fraction in the given sequence.
We rewrite the fraction 8/9 as,
8/9 = 8 × 2 / 9 × 2
= 16/18
We rewrite the fraction 5/6 as,
5/6 = 5 × 3 / 6 × 3
= 15/18
We rewrite the fraction 7/9 as,
7/9 = 7 × 2 / 9 × 2
= 14/18
This means, the given sequence of fractions is 17/18, 16/18, 15/18, 14/18, ...
From this sequence, the next fraction would be 13/18
Therefore, the next fraction in the given sequence is 13/18
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what’s the percentage change to 2 decimal places when 125.99 is increased to 150
The percentage change is 16%
How to calculate the percentage change ?The initial value is 125.99
It changed to 150
The percentage change can be calculated as follows
= 150 - 125.99/150 × 100
= 24.01/150 × 100
= 0.16 × 100
= 16%
Hence the percentage change is 16%
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Cranberry juice 4 lemon lime soda 1 orange juice 2 pineapple juice 2 if the punch bowl holds 27 cups, how many cups of orange juice will she need to keep the ratio in a full punch bowl the same?
The appropriate choice of ratio will be given by
She will need 6 cups of orange juice to keep the ratio in a full punch bowl the same.
What is ratio?
Ratio determines the comparision among many quantities with the same unit.
Here,
Let the number of cups of Cranberry juice be 4x,
Number of cups of lemon lime soda be x
Number of cups of orange juice be 2x,
Number of cups of pineapple juice be 2x
Total = 4x + x + 2x + 2x = 9x cups
By the problem,
9x = 27
x = [tex]\frac{27}{9}[/tex]
x = 3
Number of cups of orange juice = 2 * 3 = 6 cups
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Because 7 and 17 are both prime numbers all whole numbers that end in 7 are prime is Alice correct u must give a reason
Answer: Is 17 a prime number? Yes, 17 is a prime number because it only has two factors, 1 and 17.
Find the value of the exterior or interior angle!
The values of interior angle is 63°, 46°, 71°
What are Interior Angles?
Angles inside a polygon are referred to as interior angles. A triangle, for instance, has three interior angles. Interior angles are sometimes defined as "angles enclosed in the interior region of two parallel lines when they are intersected by a transversal."
Put all the values equal to 180°,
=> (2x+5) + (x+17) + (3x-16) = 180°
Now, solve this equation and find x,
=> 6x + 22 - 16 = 180
=> 6x = 180 - 6
=> x = 174 / 6
=> x = 29°
Put x = 29° in the 2x + 5, x + 17, 3x - 16
2x + 15 | x + 17 | 3x - 16
2 * 29 + 15 | 29 + 17 | 3 * 29 - 16
63° | 46° | 71°
Therefore, the values of interior angle is 63°, 46°, 71°
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What is the product of (−7)(14) • (−6)?
Answer:
Step-by-step explanation:
-588
what is 2(10) + 2(x – 4) simplified
Find the missing value(s) in the ratio table. Then write the equivalent ratios.
Violins
Cellos
8
3
24
Missing value of the table is 9.
Define equivalent ratios.When we compare two ratios, they are said to be equivalent. To determine whether two or more ratios are equivalent, they can be compared to one another. For instance, the ratios 1:2 and 2:4 are equivalent. If two or more ratios have the same value when reduced to their most basic form, they are said to be equal. For instance, the ratios 1:2, 2:4, and 4:8 are identical. When reduced to their most basic form, all three ratios have the same value, or 1:2. We can multiply or divide the words by a natural number to get analogous ratios to a given ratio. When two words are co-prime (have just one other common factor), we multiply them by any natural number instead of performing the division procedure.
Given Data
Violins
Cellos
8 24
3
Let missing number be x
[tex]\frac{8}{24}[/tex] = [tex]\frac{3}{x}[/tex]
When we compare two ratios, they are said to be equivalent.
If two or more ratios have the same value when reduced to their most basic form, they are said to be equal
simplifying, [tex]\frac{8}{24}[/tex]
[tex]\frac{1}{3}[/tex]
[tex]\frac{3}{x}[/tex] =[tex]\frac{3}{9}[/tex]
Missing value of the table is 9.
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Shantel buys a bag of cookies that contains 5 chocolate chip cookies, 6 peanut butter cookies, 5 sugar cookies and 8 oatmeal cookies. what is the probability that shantel randomly selects a peanut butter cookie from the bag, eats it, then randomly selects a chocolate chip cookie?
Answer:
6 out of 24
Step-by-step explanation:
5+5+6+8 = 24
there are 6 peanut butter cookies
In all there are 24 cookies
Since there are 6 peanut butter cookies since there are 24 cookies there is a chance of 6 and 24 of getting a peanut butter cookie.
express each of the following rational numbers as decimals
a,4/9
Find all the missing angles and give a reason!!
PLEASE HELP I WILL GIVE BRAINLIEST TO WHO ANSWERS
Angle #1 = 90 Reason: Every angle of a rectangle measures 90°. Opposite sides are equal and parallel. It has 2 diagonals of equal length.
# 22= 90. Reason: Every angle of a rectangle measures 90°. Opposite sides are equal and parallel. It has 2 diagonals of equal length.
# 8 = 90 . Reason: Every angle of a rectangle measures 90°. Opposite sides are equal and parallel. It has 2 diagonals of equal length.
# 2 = 90. Reason: A right triangle is a type of triangle that has one angle that measures 90°.
#17 = 60. Reason: We have the sum of all interior angles at 180.
180 degrees = 30+ 90+ #17
so # 17 = 180 - ( 30+90) = 60.
#23= 90. Reason: A right triangle is a type of triangle that has one angle that measures 90°.
# 19= 90. Reason: Opposite sides are equal and parallel. It has 2 diagonals of equal length.
#26 = 90. Reason: Opposite sides are equal and parallel. It has 2 diagonals of equal length.
#21 = 90. Reason: Opposite sides are equal and parallel. It has 2 diagonals of equal length.
# 16 = 60 Reason: We have the sum of all interior angles at 180. And Opposite sides are equal and parallel. So # 16 + 90 + # 27 = 180
so # 16 + #27 = 180-90 = 90.
#3= 30. We have # 16 +# 3 = 90. So 60 +# 3 = 90. Hence, # 3 = 30.
#27 = 30.
the fibonacci sequence begins with 0 and then 1 follows. all subsequent values are the sum of the previous two, for example: 0, 1, 1, 2, 3, 5, 8, 13. c
The nth term in the Fibonacci series is printed at the conclusion of the program.
What is a Fibonacci sequence?The Fibonacci numbers, also known as Fₙ, are a set of numbers in mathematics where each number is the sum of the two numbers before it. Although some authors omit the initial terms and begin the sequence from 1 and 1 or from 1 and 2, the sequence typically starts from 0 and 1.So, until a condition is satisfied, recursions involve calling a function from within a function.
The necessary function, which uses comments to describe each line, is as follows:
//This defines the function
public static int fibonacci(int n) {
//The function returns -1, if n is negative
if(n<0){
return -1;}
//The function returns the value of n, if n is 0 or 1
if(n==0||n==1){
return n;}
//If otherwise
else{
//The function returns the nth term of the Fibonacci series
return fibonacci(n-1)+fibonacci(n-2);
}
}
Therefore, the nth term in the Fibonacci series is printed at the conclusion of the program.
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The correct question is given below:
The Fibonacci sequence begins with 0 and then 1 follows. All subsequent values are the sum of the previous two, for example: 0, 1, 1, 2, 3, 5, 8, 13. Complete the fibonacci() method, which takes in an index, n, and returns the nth value in the sequence. Any negative index values should return -1.
Ex: If the input is: 7
the out put is :fibonacci(7) is 13
Note: Use recursion and DO NOT use any loops. // is this mean i don't have to use loops? for (int i = 1; i<= n; ++i)
import java.util.Scanner;
public class LabProgram {
public static int fibonacci(int n) {
/* Type your code here. */
public static void main(String[] args) {
Scanner scnr = new Scanner(System.in);
int startNum;
System.out.println("Enter your number: ");
startNum = scnr.nextInt();
System.out.println("fibonnaci(" + startNum + ") is " + fibonacci(startNum));
}
}