The distance between (-8,0) and (-5,3) in the coordinate plane is 9 units.
Given that the coordinates of points in the coordinate plane are (-8,0) and (-5,3).
We are required to find the distance between the given points.
Distance is basically a numerical or occasionally qualitative measurement of how far apart objects or points are. In physics or everyday usage, distance may refer to physical length or an estimation based on other criteria.
Distance between (-8,0) and (-5,3)=[tex]\sqrt{(-5+8)^{2} +(3-0)^{2} }[/tex]
=[tex]\sqrt{3^{2} +3^{2} }[/tex]
=[tex]\sqrt{9+9}[/tex]
=[tex]\sqrt{81}[/tex]
=9 units
Hence the distance between (-8,0) and (-5,3) in the coordinate plane is 9 units.
Learn more about distance at https://brainly.com/question/17273444
#SPJ9
The scatterplot below shows the relationship between family size and
monthly family entertainment expenses. Based on the trendline, which is
the most reasonable prediction for monthly entertainment expenses for
family of 6? *
The weekly revenue for a product is given by R(x) = 324x - 0.0495x?, and the weekly cost is C(x) = 8000 + 162x - 0.099x2 + 0.00003x”, where x is the number of units
produced and sold
(a) How many units will give the maximum profit?
(b) What is the maximum possible profit?
(a) The number of units that will give the maximum profit is
(Round to the nearest whole number as needed.)
Answer:
(a) The number of units that will give the maximum profit is 2,000 units.
(b) The maximum possible profit is $274,000.
Step-by-step explanation:
(a) How many units will give the maximum profit?
From the attached photo in the question, we are given;
R(x) = 324x - 0.0495x^2 ………………....................................……….. (1)
C(x) = 8000 + 162x - 0.099x^2 + 0.00003x^3 …………………….. (2)
In economics, profit function, P(x), is obtained as follows:
P(x) = R(x) - C(x) ………………………. (3)
Substituting the equations (1) and (2) for R(x) and C(x) respectively into equation (3) and then simplify, we have:
P = 324x - 0.0495x^2 - (8000 + 162x - 0.099x^2 + 0.00003x^3)
P = 324x - 0.0495x^2 - 8000 - 162x + 0.099x^2 - 0.00003x^3
P = -8000 + 162x + 0.0495x^2 - 0.00003x^3 ………………….. (4)
Taking a derivative of equation (4) with respect to x and equating to 0, we have:
162 + 0.099x - 0.00009x^2 = 0 .................... (5)
Using the almighty formula as follows:
x = (-b +/- (b^2 - 4ac)^0.5) / 2a ………………. (6)
Where, from equation (5);
a = - 0.00009
b = 0.099
c = 162
Substituting the values into equation (6), we have:
x = (-0.099 +/- (0.099^2 - (4 * (- 0.00009) * 162))^0.5) / (2 * - 0.00009)
x = (-0.099 +/- 0.261) / -0.00018
x = (-0.099 + 0.261) / -0.00018, or x = (-0.099 - 0.261) / -0.00018
x = -900, or x = 2000
Since negative number does not have economic value in economics, the number of units that will give the maximum profit is therefore 2,000 units.
(b) What is the maximum possible profit?
From part a, x = 2000
Substituting x = 2000 into equation (4) and then solve, we have:
P(x) = -8000 + (162 * 2000) + (0.0495 * 2000^2) - (0.00003 * 2000^3)
P(x) = 274,000
Therefore, the maximum possible profit is $274,000.
If the father's age in 3 years will be twice the son's age 4 years ago, and if the sum of their ages now is 106, how old is the father now?
Answer:
The father is 67 and the son is 38
Step-by-step explanation:
TRUST ME Bois and Girls
How are the ordered pair (4,9) and (4,-9) similar, and how are they different?
Answer:
Both of the points are in the same x-axis (which is 4). However, they are different because one of them is shifted 9 units up and the other one is shifted 9 units down (their y-axis are different). Their quadrants are also different since (4,9) is at the first quadrant, while (4,-9) is at the fourth quadrant.
Help pleaseeeeeeeeeeeeeeeee
Answer:
Step-by-step explanation:a
Pls help it isn’t urgent but it’s for my hw
PLs help with these 2 problems
The expressions are simplified to 2x and [tex]\frac{2}{(x+ 1)(x - 1)}[/tex]
How to simply the expressions1.
Given the expression;
[tex]\frac{8x^2 - 4x}{4x - 2}[/tex]
Let's factorize the numerator;
[tex]\frac{2x( 4x - 2)}{4x - 2}[/tex]
Factor the common terms, we have;
2x
2. [tex]\frac{1}{x-1} - \frac{2}{x} + \frac{1}{x + 1}[/tex]
Find the Lowest common multiple
[tex]\frac{x(x+ 1) - 2 (x+ 1)(x - 1) + x(x-1)}{x(x-1)(x+ 1)}[/tex]
expand the brackets
[tex]\frac{x^2 + x -2(x^2 -x + x -1) + x^2 -x}{x(x-1)(x+ 1)}[/tex]
[tex]\frac{x^2+x - 2x^2 -2 + 2x + 2 + x^2 - x}{x(x+1) (x -1)}[/tex]
collect like terms
[tex]\frac{2x}{x(x+ 1) (x-1)}[/tex]
Divide common terms
[tex]\frac{2}{(x+ 1)(x - 1)}[/tex]
Thus, the expressions are simplified to 2x and [tex]\frac{2}{(x+ 1)(x - 1)}[/tex]
Learn more about algebraic expressions here:
https://brainly.com/question/4344214
#SPJ1
Can i have some assistance on this question?
The linear function f(x) = 4/5x - 9
Given,
f(-20) = -25
Slope, m = 4/5
We have to find the linear function f(x)
We know the slope-intercept form, y = mx + b
Here,
f(-20) = -25
x = -20 and y = -25
slope, m = 4/5
So, lets solve for b.
y = mx + b
-25 = 4/5 (-20) + b
-25 = 4 × (-4) + b
-25 = -16 + b
Add 16 to both sides
16 - 25 = -16 + 16 + b
We get,
-9 = b
Now, find f(x)
f(x) = 4/5x - 9
That is, the linear function f(x) = 4/5x - 9
Learn more about linear function here:
https://brainly.com/question/8346797
#SPJ1
A blank has exactly two factors
Answer:
Prime Number
Step-by-step explanation:
Identify the slope as positive, negative, zero or undefined from each graph.
What’s this answer
Answer:
1-positive
2-negitive
3-zero
4-undefined
Answer:
1 ) positive 2) negative 3) undefined 4) undefined
Step-by-step explanation:
the temperature was 20 degrees below 0 at midnight. By morning it fell another 15 degrees. choose the correct expression
A. 20-15
B. -20+(-15)
C. -20+15
Answer:
C
Step-by-step explanation:
-20 + 15 = -35
a negative + a positive = a negative
Hope this helps!
Write the point-slope form of the equation of each line given the slope and y-intercept.Show
your work!!
7) Slope = -3, y-intercept = 4
Answer:
y= -3x+4
Step-by-step explanation:
given the points (3, 2) and (-5, 2), find the slope of the line.
A. -8
B. 1
C. 0
D. undefined
Please I really need help with this question!!
1. Slope of segment BC
2. Slope of segment AD
3. Length of segment BC
4. Length of segment AD
5. ABCD is a ________
Answer:
Step-by-step explanation:
1 and 2.
slope is m = ( y2-y1) / (x2-x1)
slope of BC = 5-3 /6-1 = 2/5
slope of AD = 1 +1 / 7-2 = 2/5
3 and 4
use the distance formula d= √(x2-x1)² +(y2-y1)²
BC = √( 6-1)²+(5-3)² = √5²+2²= √29
AD = √(7-2)²+(1+1)² = √5²+2² = √29
5.
since BC and AD have the same slope then they are parallel
since BC and AD are same length the segments are ≅
so ABCD is a rectangle
To determine the number of trout in a lake, a conservationist catches 94 trout, tags them and throws them back into the lake. Later, 30 trout are caught; 10 of them are tagged. How many trout would the conservationist expect to be in the lake?
Answer:
She would expect to find about 282 fish in the lake.
Step-by-step explanation:
Twice the difference of p and 10 I need a answer for my hw plz
Answer:
2(p - 10)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Translate
"Twice" is multiplied by 2.
"Difference" is subtraction.
"p" is p.
"10" is 10.
Step 2: Write expression
2(p - 10)
2p - 20
Use the diagram to find the following measures
A) triangle angle sum equation
B) value of x = ———- degrees
Answer:
Triangle sum of equation: x° + 109° = 180°
value of x = 71°
find the common difference of the following arithmetic sentence
Answer:
-1/4
Step-by-step explanation:
-1/2+1/4=-1/4-1/4+1/4=00+1/4=1/41/4+1/4=1/2But in reality, it is going from positive to negative, so the answer is -1/4.
Answer:
-1/4
Step-by-step explanation:
X-4y=-12 and 5x=20y+60
How do you solve this
Answer:
You must turn the variables, or the "x" into a number to make the numbers on the left equal the numbers on the right.
Step-by-step explanation:
In order to solve these problems, you must replace the variable with a number to have the equation on the left equal what is on the right.
Equation 1:
x - 4y = -12 <----- This is the original problem.
-8 - 4y = -12 <----- Replace the variable.
-12y = -12 <----- This is a true statement.
Equation 2:
5x=20y+60 <----- This is the original problem.
5(16) =20y+60 <----- Replace the variable/Do the addition.
80 = 80y <------ This is a true statement.
Hope this helps! :D
which one is proportional?
36/60=15/25
32/20=32/20
Answer:
the second one for sure
Joel received a $8.00 tip from a customer who had a $50.00 bill.
Which decimal represents the fraction of the bill Joel received as a tip?
A 0.08
B 0.16
C 0.22
D 0.625
Answer:
The answer is D
Step-by-step explanation:
PLEASE HURRY ILL MARK AS BRAINLIEST!!!
Answer:
answer is 14 and it is a example of derivative
Step-by-step explanation:
Is 6dd same answer as 4d+2d
Answer:
[tex]6d \: is \: same \: as \: 4d + 2d[/tex]
Step-by-step explanation:
[tex]4d + 2d = 6d \\ pls \: mark \: as \: brainliest[/tex]
At a local high school, 30% of the students have a part-time job, 45% of the students are on the principal's honor roll, and 20% of the students have a part-time
job and are on the principal's honor roll. If a student was randomly selected from this school, what is the probability that the student has a part-time job or is on
the principal's honor roll?
0 95%
O 759
O 55%
O 3596
Answer:
b
Step-by-step explanation:
Answer:
b he is your answer dear friend
Jason earns $78,000 per year. If he is paid weekly what is his weekly pay?
In one week he's made $1,500
Answer:
1,500 fffffffffffffffffffffffffffffffff
is the square root of 9/31 rational
Answer:
NO
Step-by-step explanation:
no, 9/31 is not an irrational number. ... So we have shown that the square root of any non-square cannot be rational; hence, it is irrational.
The square root of 9/31 rational is not a rational number.
We have given that 9/31.
We have to determine is the square root of 9/31 rational
What is the square root of arational numbers?A rational number is a number that can be expressed as the quotient of two integers, with the denominator not equal to zero.
9/31 is not an irrational number.
So we have shown that the square root of any non-square cannot be rational.
hence, it is irrational.
Therefore it is not a rational number.
To learn more about the rational number visit:
https://brainly.com/question/43641
what is the answer to this 2²/2³
Answer:
.5
Step-by-step explanation:
22
23
=
22
23
=
2*2
2*2*2
=
1
2
(Decimal: 0.5)
Y’all I need this by midnight what is 9/10 + 3/5 please and thank you
Answer:
12/15
Step-by-step explanation:
Answer:
I hope this helps you
Step-by-step explanation:
9/10 + 3/5
= LCM of 10 and 5 =10
= 9/10 + 6/10
= 9+6/10
= 15/10 = 3/2 = 1.5
Find the area and circumference of a circle with radius 8 ft use the value 3.14 for it and do not round your answer be sure to include the correct units in your answer
Answer: C=50.24 ft, A=200.96 ft^2
Step-by-step explanation:
Area:
A=(pi)*r^2
A=(3.14)*8^2
A=200.96 ft^2
Circumference:
C=2*(pi)*r
C=2*(3.14)*8
C=50.24 ft
an 8-sided die is rolled 400 times. about how many time should it stop on 7? about how many times should an odd number appear?