Answer:
let numbers be=x -3=3-x × 4(3-x) x=8 hence 12 -4x=8 = 12-8
What is the average collection period??
Answer:
an accounting metric used to represent the average number of days between a credit sale date and the date when the purchaser remits payment.
i needs help please
Answer:
Step-by-step explanation:
Please show your work! I'll give brainliest as well, thanks in advance!
The area of a circle is defined as [tex]\pi(r^{2})[/tex], where r = 4.3 here. 4.3^2 ≅ 18.49, so the area of the full circle is 18.49π.
The shaded section covers 12 degrees of the full 360 degrees in a circle, or 1/30th of the area. Therefore, the area of the shaded section is equal to [tex]\frac{18.49\pi}{30}[/tex], or about 1.936. In this question's context, that would be 1.936[tex]in^{2}[/tex].
if x²+y²=20 and x-y=6 how is x.y?
Answer:
xy = - 8
Step-by-step explanation:
note that
(x - y)² = x² + y² - 2xy , that is
6² = 20 - 2xy
36 = 20 - 2xy ( subtract 20 from both sides )
16 = - 2xy ( divide both sides by - 2 )
- 8 = xy
[tex](x-y)^2=x^2-2xy+y^2[/tex]
Therefore
[tex]6^2=20-2xy\\36=20-2xy\\2xy=-16\\xy=-8[/tex]
A family plan for a cell phone has a monthly base price of $75 plus $10.99 for each additional family member added beyond the primary account holder. The linear function to model the monthly cost C(x) (in $) of a family for x additional family members added is C(x)=
The linear equation that models the cost for having x additional family members added is:
c(x) = $75 + $10.99*x
How to get the linear equation?
Here we know that the plan has a fixed price of $75 plus $10.99 for each family member added beyond the primary account holder.
Then if there are x family members added, the cost will be:
$75 + $10.99*x
Then the linear equation that models the cost for having x additional family members added is:
c(x) = $75 + $10.99*x
If you want to learn more about linear equations:
https://brainly.com/question/1884491
#SPJ1
Amalia and Alec are studying the growth of a plant over time. They measure the height of the plant at the end of each week for several weeks and display the data in a scatter plot. They then find the equation for the best-fit line to be y=2.5+ 1.25x
X=the number of weeks that have passed
Y = the height of the plant
How tall will with plant be after 7 weeks?
After 7 weeks the plant will 11.25 units tall if the equation for the best-fit line to be y = 2.5 + 1.25x.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2} \\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]
We have a line of best fit:
y = 2.5 + 1.25x
Plug x = 7 weeks
y = 2.5 + 1.25(7)
y = 11.25 units
Thus, after 7 weeks the plant will 11.25 units tall if the equation for the best-fit line to be y = 2.5 + 1.25x.
Learn more about the line of best fit here:
brainly.com/question/14279419
#SPJ1
Write the logarithmic expression as a single logarithm with coefficient , and simplify as much as possible. Assume that all variable expressions represent positive real numbers.
1/2ln(b^2+1)-1/2ln(b+1)
Answer:
hope you can understand
Polygon ABCD is plotted on a coordinate plane and then rotated 90° clockwise about point C to form polygon A′B′C′D′. Match each vertex of polygon A′B′C′D′ to its coordinates.
Graph of rigid functions on a coordinate plane. A quadrilateral vertices are plotted at A (4, 6), B (5, 3), C (4, 2), and D (1, 2) in quadrant 1. Interior are of quadrilateral is shaded.
The vertices of ABCD after 90 degrees clockwise rotation about point C are: A' (0,6), B' (3,7), C' (4,6) and D' (4,3)
How to match the vertices of the polygon?The image of the polygon ABCD is not given; however, the question can still be answered because the coordinates are known.
The vertices of polygon ABCD are given as:
A = (4, 6)
B = (5, 3)
C = (4, 2)
D = (1, 2)
The rule of rotation about point C is:
(x,y) = (a + b - y, x + b - a)
Where:
(a, b) = (4, 2) --- the point of rotation.
So, we have:
(x,y) = (4 + 2 - y, x + 4 - 2)
(x,y) = (6 - y, x + 2)
The above means that:
A' = (6 - 6, 4 + 2) = (0,6)
B' = (6 - 3, 5 + 2) = (3,7)
C' = (6 - 2, 4 + 2) = (4,6)
D' = (6 - 2, 1 + 2) = (4,3)
Hence, the image of the rotation and their vertices (i.e. coordinates) are:
A' = (0,6)
B' = (3,7)
C' = (4,6)
D' = (4,3)
Read more about rotation at:
https://brainly.com/question/4289712
#SPJ1
The price of a 7-minute phone call is $1.75. What is the price of a 13 minute phone call?
Answer:$3.25
Explanation:
Since the 7 min phone call is at 1.75, that means that one minute of phone call time is 0.25. 13 minutes would be 0.25*13=3.25
hope this helps
Solve for N:
A_-21
B_21
C_-96
D_96
Step-by-step explanation:
n + 5 = -16
n = -21
The correct option is -21
PLEASE HELP TIMER!!!!!!!!!!!!!
Answer:
Answer: -3/2
Step-by-step explanation:
#KEEPSAFE
#GOODLUCK
#STUDYWELL
3. Find sin A and cos B exactly.
B
a
C
6
4
A
Check the picture below.
[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{6^2 - 4^2}=a\implies \sqrt{36-16}=a\implies \sqrt{20}=a\implies 2\sqrt{5}=a \\\\[-0.35em] ~\dotfill\\\\ sin(A )=\cfrac{\stackrel{opposite}{2\sqrt{5}}}{\underset{hypotenuse}{6}}\implies sin(A)=\cfrac{\sqrt{5}}{3} \\\\\\ cos(B )=\cfrac{\stackrel{adjacent}{2\sqrt{5}}}{\underset{hypotenuse}{6}}\implies cos(B)=\cfrac{\sqrt{5}}{3}[/tex]
y= -x - 8x - 16 how many solutions
Answer:
1 solution
Key:
Assume x is the the range x > 0 ≥ 1, in other words, assume x is equal to 1.
Step-by-step explanation:
[tex]y = -x - 8x - 16\\= -x - 8x\\= 9x\\= 9x - 16[/tex]
Mariano is standing at the top of a hill when he kicks a soccer ball up into the air. The height of the hill is h feet, and the ball is kicked with an initial velocity of v feet per second. The height of the ball above the bottom of the hill after t seconds is given by the polynomial −16t2 + vt + h. Find the height of the ball after 4 seconds if it was kicked from the top of a 25 foot tall hill at 72 feet per second.
Answer:
57 f
Step-by-step explanation:
-16t² + vt + h
-16(4 s)² + (72 f/s)(4 s) + (25 f)
-256 + 288 + 25 = 57
Which expression is equivalent to…
Answer:
the 3rd one ez clapppppppp
In an urn there are 6 red balls, 4
blue balls and 10 yellow balls.
What is the probability of
choosing a yellow ball?
Answer:
1/2 / 50% chance
Step-by-step explanation:
There are 10 yellow out of 20 (6 + 4 + 10 = 20) balls.
So, the probability is 10 / 20
Or, 1 / 2 (which is the same thing as 50% chance)
(chance = probability)
Which of the following are not trigonometry identities? Check all that apply
Answer:A
Step-by-step explanation:
Good luck on the exam!
Classify the triangle by its angles and sides
A. Right scalene
B. Obtuse isosceles
C. Acute scalene
D. Right isosceles
Sue has 18 sweets.
Tony also has 18 sweets.
Sue gives Tony x sweets.
Sue then eats 5 of her sweets.
Tony then eats half of his sweets.
Write the expression for the number of sweets Sue and Tony now have
Answer:
Sue : 13 - x Tony : x/2 + 9Step-by-step explanation:
Sue Tony_________________________________________________
initial number of sweets | 18 | 18
| |
Sue gives Tony x sweets | 18 - x | 18 + x
| |
Sue ,eats 5 of her sweets. and | 18 - x - 5 = | (18 + x)/2 =
Tony ,eats half of his sweets | 13 - x | 9 + x/2
SOMEBODY PLEASE JUST HELP ME I DON'T KNOW
Answer:
Step-by-step explanation:
B is at (-3,-2) Multiply by 3: (-9,-6)
O is at (2,-1) Multiply by 3: (6,-3)
T is at (-3,3) Multiply by 3: (-9,9)
Hope this helps!!
You roll two number cubes.
Let event A = You roll an even number on the first cube.
Let event B= You roll a 6 on the second cube.
Are the events independent or dependent? Why?
O A. Dependent, because 6 is an even number.
о B. Dependent, because both cubes have six sides.
O C. Independent, because they have no outcomes in common.
D. Independent, because the outcome of the first roll doesn't affect
the outcome of the second roll.
Answer:
Step-by-step explanation:
If you roll an even number it doesn't just get rid of the number off the cube, it still exists
Events A and B are independent.
These events have no outcomes in common,
Option C is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
Events A and B are independent because the outcome of one event does not affect the probability of the other event.
The fact that 6 is an even number is not relevant to the independence of the events.
Event A is the event of rolling an even number on the first cube, which has three even and three odd numbers.
Event B is the event of rolling a 6 on the second cube, which has one 6 and five non-6 numbers.
These events have no outcomes in common, and the outcome of the first roll does not affect the outcome of the second roll.
Therefore,
Events A and B are independent.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ5
Need help with this fast
Answer:
C
Step-by-step explanation:
Formula for the volume of a cone :
Volume (cone) = 1/3πr²h
===========================================================
Given :
⇒ r = 4 units
⇒ h = 21 units
============================================================
Solving :
⇒ Volume (cone) = 1/3 × π × (4)² × 21
⇒ Volume (cone) = 16 × 7 × π
⇒ Volume (cone) = 112π units²
Answer:
[tex]\sf C. \quad 112 \pi \:units^2[/tex]
Step-by-step explanation:
[tex]\textsf{Volume of a cone}=\sf \dfrac{1}{3} \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]
Given:
radius = 4 unitsheight = 21 unitsSubstituting the given values into the formula:
[tex]\implies \sf Volume=\dfrac{1}{3} \cdot \pi \cdot 4^2 \cdot 21[/tex]
[tex]\implies \sf Volume=112 \pi \:units^2[/tex]
calculates the first term of an arithmetic progression of 4 terms and ratio equal to 4 whose sum is 100
The first term of an arithmetic progression of 4 terms and ratio equal to 4 whose sum is 100 is 19.
How to calculate arithmetic progression?The first term of an arithmetic progression can be calculated using the following expression:
Sn = n/2 [2a + (n − 1)d]
Where;
a = first termUn = sumn = no of termsd = common ratio100 = 2 [2a + (4 - 1)4]
100 = 4a + 24
4a = 100 - 24
a = 76/4
a = 19
Therefore, the first term of an arithmetic progression of 4 terms and ratio equal to 4 whose sum is 100 is 19.
Learn more about arithmetic progression at: https://brainly.com/question/20385181
#SPJ1
the sum of 6 and the product of 8 and x
Answer:
6+8x
Step-by-step explanation:
question 14, thank you
The parametric equation that represents the same path as the original equation is x = 3 + cos(2θ) and y = 2sin(2θ).
Path of the parametric equations
The given parametric equation can be expressed as follows;
x = 3 + cosθ
y = 2sinθ
From the given options, a plot of the various equation can be used to determine the paths of the equation.
For; x = 3 + cos(2θ) and y = 2sin(2θ), its parametric plots is same as original equation since the equation [3 + cos(2θ) and y = 2sin(2θ)] changed at equal rate of the angles.
Thus, the parametric equation that represents the same path as the original equation is x = 3 + cos(2θ) and y = 2sin(2θ).
Learn more about parametric equation here: https://brainly.com/question/51019
#SPJ1
Find the value of x and y
Answer:
x = 1
y = -3
Step-by-step explanation:
cos(pi) = -1
so many ways :
sqrt(0.5/2) = sqrt(0.5/2 × 8/8) = sqrt(4/16)
= sqrt(0.5/2 × 18/18) = sqrt(9/36)
= sqrt(1/4) = 1/2
"nicest" approach (all integers) :
3x² = sqrt(9)
3x² = 3
x² = 3/3 = 1
x = 1
2y = sqrt(36)
2y = 6
y = 6/2 = 3
one of them has to be negative (because cos(pi) = -1), so it has to be y, because 3x² cannot be negative with real numbers.
so, y = -3
-1 × 3×1²/(2×-3) = sqrt(0.5/2) = 1/2
-1 × 3/-6 = 1/2
3/6 = 1/2
1/2 = 1/2
correct
What is the x-intercept of this function?
Answer:
(3,0)
Step-by-step explanation:
Which of the following is equivalent to:
(2x³ + 2) + (5x³ + 3)
Answer:
Step-by-step explanation:
2x^3 + 5x^3 + 2 + 3 = 7x^3 + 5
In the diagrams, the pre-image is shown with a dashed line and the image is shown with a solid line. Which
transformation represents a dilation?
5
543-11-
4 5 X
Save and Exit
Next
Submit
Mark this and return
Answer:d
Step-by-step explanation:
The equation of a curve is y = x³ + 4x. Show that the value of y increases when x increases. ² is a decreasing function.
We will see that f'(x) > 0, which means that f(x) is an increasing function.
How to prove that the function is increasing?
For any function f(x), if f'(x) > 0, then f(x) is increasing for any value of x.
Here we have the cubic function:
f(x) = x³ + 4x
If we differentiate this, we get:
f'(x) = df(x)/dx = 3x² + 4.
And notice that x² is always positive, then f'(x) > 0, which means that f(x) is an increasing function.
If you want to learn more about cubic functions:
https://brainly.com/question/20896994
#SPJ1