Answer:
15 students per year
Step-by-step explanation:
Answer:15
Step-by-step explanation:
A TV that normally cost $800 is on sale for 33% off. There is a 6% sales tax on the purchase. What is the final cost of the TV?
Answer:
$568.16
Step-by-step explanation:
Answer: The answer to your problem is $568.16
Solve each equation for x. 1.3x + 9x = 6x + 42
Answer:
Just use a calcultor...
Step-by-step explanation:
La otra tarde vi en un parking 39 vehículos, entre coches y motos, a los que les
conté un total de 126 ruedas. ¿Cuántos vehículos de cada clase había en el parking?
Answer:
quince
Step-by-step explanation:
A curve is such that (dy)/(dx) = 12/(2x + 1) ^ 2 and P(1, 5) is a point on the curve . (i) The normal to the curve at P crosses the x-axis at Q. Find the coordinates of Q (ii) Find the equation of the curve. (iii) A point is moving along the curve in such a way that the x-coordinate is increasing at a constant rate of 0.3 units per second. Find the rate of increase of the y-coordinate when x=1
(i) The coordinates of the point Q is [tex](x, y) = (21, 0)[/tex].
(ii) The equation of the curve is [tex]y = 6\cdot \ln (2\cdot x + 1)-1.592[/tex].
(iii) The rate of increase of the y-coordinate is 1.2 units per second.
(i) By analytical geometry, we know that the slope of a line normal of a curve ([tex]m_{\perp}[/tex]) by the following expression:
[tex]m_{\perp} = - \frac{1}{\frac{dy}{dx} }[/tex] (1)
Where [tex]\frac{dy}{dx}[/tex] is the slope of the line tangent to the curve.
If we know that [tex]x = 1[/tex], then the slope of the normal to the curve is:
[tex]\frac{dy}{dx} = \frac{12}{2\cdot (1)+1}[/tex]
[tex]\frac{dy}{dx} = 4[/tex]
And the slope of a line normal of a curve is:
[tex]m_{\perp} = -\frac{1}{4}[/tex]
By definition of secant curve we calculate the remaining coordinate of the point Q:
[tex]m_{\perp} = \frac{y_{Q}-y_{P}}{x_{Q}-x_{P}}[/tex] (2)
Where:
[tex]x_{P}[/tex], [tex]x_{Q}[/tex] - x-coordinates of points P and Q. [tex]y_{P}, y_{Q}[/tex] - y-coordinates of points P and Q.If we know that [tex](x_{P}, y_{P}) = (1, 5)[/tex], [tex](x_{Q}, y_{Q}) = (x, 0)[/tex] and [tex]m_{\perp} = -\frac{1}{4}[/tex], then the remaining coordinate of point Q is:
[tex]-\frac{1}{4} = \frac{0-5}{x-1}[/tex]
[tex]-\frac{1}{4}\cdot (x-1) = -5[/tex]
[tex]-\frac{1}{4}\cdot x +\frac{1}{4} = -5[/tex]
[tex]\frac{1}{4}\cdot x = \frac{21}{4}[/tex]
[tex]x = 21[/tex]
The coordinates of the point Q is [tex](x, y) = (21, 0)[/tex].
(ii) The equation of the curve is derived by separating the variables and integrating the resulting expression:
[tex]dy = \frac{12}{2\cdot x + 1}\,dx[/tex]
[tex]\int\, dy = 6\int {\frac{2\,dx}{2\cdot x + 1} }[/tex]
[tex]\int \, dy = 6\int {\frac{du}{u} }[/tex]
[tex]y = 6\cdot \ln u[/tex]
[tex]y = 6\cdot \ln (2\cdot x + 1)+C[/tex]
And the integration constant is found for [tex](x,y) = (1, 5)[/tex]:
[tex]5 = 6\cdot \ln(2\cdot 1 + 1) + C[/tex]
[tex]C = -1.592[/tex]
The equation of the curve is [tex]y = 6\cdot \ln (2\cdot x + 1)-1.592[/tex].
(iii) The rate of increase of the y-coordinate by using the differential equation presented in statement and the definition of rate of change:
[tex]\frac{dy}{dt} = \left(\frac{12}{2\cdot x +1}\right)\cdot \frac{dx}{dt}[/tex] (3)
If we know that [tex]\frac{dx}{dt} = 0.3[/tex] and [tex]x = 1[/tex], then the rate of increase of the y-coordinate is:
[tex]\frac{dy}{dt} = \left[\frac{12}{2\cdot (1)+1} \right]\cdot (0.3)[/tex]
[tex]\frac{dy}{dt} = 1.2[/tex]
The rate of increase of the y-coordinate is 1.2 units per second.
To learn more on differential equations, we kindly invite to check this verified question: https://brainly.com/question/25731911
i). The coordinates of Q is equal to:
[tex](x,y) = (21, 0)[/tex]
ii). The equation of the curve is:
[tex]y = 6. In(2.x + 1) - 1.592[/tex]
iii). The rate of increase for y-coordinate when x = 1:
[tex]1.2 units[/tex] per second
i). Using analytical geometry,
[tex]xp[/tex] and [tex]xq[/tex] are the P and Q's x-coordinates.
[tex]yp[/tex] and [tex]yq[/tex] are the P and Q's y-coordinates.
Since ([tex]xp[/tex], [tex]yp[/tex]) = (1,5) and ( [tex]xq[/tex], [tex]yq[/tex]) = [tex](x, 0)[/tex] and m⊥ = - 1/4, the left coordinate of Q's point:-
-1/4 = (0-5)/(x - 1)
∵[tex]x = 21[/tex]
Thus, the coordinates of y = (21, 0)
ii). Through isolating the variables and employing integration:-
[tex]dy = \frac{12}{(2.x + 1)} dx[/tex]
by integration and integration constant (1,5), the equation is:
[tex]y = 6. In(2.x + 1) - 1.592[/tex]
iii). The rate of increase for y-coordinate:
[tex]dy/dt[/tex] = [tex]\frac{(12)}{(2.1 + 1)} .0.3[/tex]
∵ [tex]dy/dt[/tex] [tex]= 1.2[/tex]
Thus, the rate of increase for y-coordinate when x = 1 is 1.2 units per second.
Learn more about "Co-ordinates" here:
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-3 1/2 x + 3.5 - x + 6.25
A. -4 4x+ 9.75
B. -2 * x + 9.75
C. -24x - 2.75
D. -4 4 x -2.75
Answer:
C- -24x - 2.75
Step-by-step explanation:
What is the expanded form of 720.058
Answer:
Standard Form:
720.058
Expanded forms can be written like a sentence or stacked for readability as they are here.
Expanded Notation Form:
720.058 =
700
+ 20
+ 0
+ 0.0
+ 0.05
+ 0.008
Expanded Factors Form:
720.058 =
7 × 100
+ 2 × 10
+ 0 × 1
+ 0 × 0.1
+ 5 × 0.01
+ 8 × 0.001
Expanded Exponential Form:
720.058 =
7 × 102
+ 2 × 101
+ 0 × 100
+ 0 × 10-1
+ 5 × 10-2
+ 8 × 10-3
Word Form:
720.058 =
seven hundred twenty and fifty-eight thousandths
Step-by-step explanation:
Answer:
700 + 20 + 0 + 0.050 + 0.008
Step-by-step explanation:
Parallel or perpendicular 3x+5y=10 and 5x-3y=-6
Simplify the following expression (87x + 63y) - (6x + 32y)
Answer: 81x + 31y
Step-by-step explanation:
I need to know ASAP! Thanks ^^
Answer:
PQ=30
Step-by-step explanation:
Knowing that the segment has 3 parts that are 3:1:1 and sum up to 50, you could find how much 1 would equal by finding the total in relation to the ratio (doing 3+1+1) which gets you 5 parts. Then you can divide the total (50) by 5 to figure out how much one part would equal (10). Now, since you know that 1 part is equal to 10 and that PQ is 3 parts, you can find that PQ is equal to 3x10, or 30.
pleaseeee hurryyy i needd helppp
How many solutions are there for this equation? Why?
2(m+2)=12−6m
Select the option that correctly answers both questions.
a. There is one solution, because the coefficients of the variables on both sides of the equation are the same.
b. There are no solutions, because the coefficients of the variables on both sides of the equation are different.
c .There is one solution, because the coefficients of the variables on both sides of the equation are different.
d. There are no solutions, because the coefficients of the variables on both sides of the equation are the same.
Answer:
C. There is one solution, because the coefficients of the variables on both sides of the equation are different.
Step-by-step explanation:
The solution is m = 1
~theLocoCoco
Water begins to slowly leak from David’s water bottle right after he fills it. After 5 minutes, he notices the bottle has 26 ounces of water remaining. After 30 minutes, he notices the bottle has 16 ounces of water remaining. Let x represent the number of minutes that have passed and let y represent the amount of water remaining in the bottle.
a) Without calculating, will the rate of change (slope) for the water bottle be positive or negative? Explain how you know.
b) What is the rate of change (slope) of this situation (in ounces per minute)?
c) Write an equation to model this situation:
d) How much water was in David’s bottle immediately after he filled it?
e) After how many minutes will David’s bottle be completely empty?
how do you factor quadratics into binomials
Answer:
Step-by-step explanation:
Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.
Step 2: Use a factoring strategies to factor the problem.
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
1. What are the different offensive and defensive strategies that are used in water polo?
2. Which strategies do you think are the most difficult to accomplish? Why?
3. Which strategies do you think are the easiest to achieve? Why?
Answer:
A defensive way is use all your might to jump when the ball is coming at you, because as you might know is it takes a lot of effert to jump in a pool, the gravity is very strong in the pool! Or if you get the ball you can throw and swing your arm as strong as you can a HIT that ball! You wanna hit it hard so the players on the other side of the pool don’t get the ball,instead it will go over them and you WIN!
Step-by-step explanation:
Hope this helped :)✨
WILL MARKDOWN BRAINLIEST
Answer:
1. $539
2. $300
3. C
Step-by-step explanation:
May I have brainliest?
A professional quarterback passed for 4,384 yards in 16 games in one football season. If he passed for the same number of yards each game, how many yards did he pass for in each game? Enter your answer in the box.
select the length of the missing side of triangle b
1.5
4.5
5
6
Answer:
4.5
Step-by-step explanation:
Question 6 of 10
What is the value of p?
140"
90
lo
O A. 600
ОО
B. 900
C. 40°
O D. 50°
Answer:
B answer is correct hiiii
Answer: 50
Step-by-step explanation:
Evaluate 5x-2w+t
Help needed!!
the answer is the same
The value of x is (2w - t)/5.
The value of w is (5x + t)/2.
The value of t is 2w - 5x.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
5x - 2w + t = 0
Solve for x.
5x - 2w + t = 0
5x = 2w - t
x = (2w - t)/5
Solve for w.
5x - 2w + t = 0
5x + t = 2w
w = (5x + t)/2
Solve for t.
5x - 2w + t = 0
t = 2w - 5x
Thus,
The value of x, w, and t is given above.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
Which expressions simplify to a rational answer?
Select each correct answer.
Answer: the answers are the second one and the last one
Step-by-step explanation:
Lexi jarred 2.3 liters of jam after 2 days. How many days does Lexi need to spend making jam if she wants to jar 4.6 liters of jam in all?
Answer:
bruh 4 days duh
Step-by-step explanation:
Solution set of equation x^2-5x=0
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] {x}^{2} - 5x = 0[/tex]
Factorise x
[tex]x(x - 5) = 0[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Hint :
[tex]a \times b = 0[/tex]
[tex]a = 0 \: \: \: \: or \: \: \: \: b = 0[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Thus ;
[tex]x = 0 \: \: \: \: or \: \: \: \: x - 5 = 0[/tex]
So :
[tex] x = 0 \: \: \: \: or \: \: \: \: x = 5[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
CHECK :
[tex]x = 0[/tex]
[tex] {0}^{2} - 5(0) = 0[/tex]
[tex]0 - 0 = 0[/tex]
[tex]0 = 0[/tex]
The solution is correct.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]x = 5[/tex]
[tex] {5}^{2} - 5(5) = 0[/tex]
[tex]25 - 25 = 0[/tex]
[tex]0 = 0[/tex]
The solution is correct.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Write the equation of the line that passes through (-3, -20) and (1,4).
Answer:
y=6x-2
Step-by-step explanation:
The equation of the line is y=mx+b
FINDING SLOPE: To find the slope of a given line use the equation [tex]\frac{y2-y1}{x2-x1}[/tex]
So x1=-3, y1=-20 and x2=1, y2=4
Plug those numbers into the equation: [tex]\frac{4-(-20)}{1-(-3)}[/tex] and we get the slope which is 6.
FINDING Y-INTERCEPT: Then we find the y intercept by plugging in our points (you can choose) I will use (1,4) and solve.
y=6x+b
4=6(1)+b
b=-2
HELP ME PLEASE ASAP!?!Which of the following is most likely the next step in the series?
A
B
C
D
Answer:
D
Step-by-step explanation:
it goes the next and last way and its the next colour
3 + 2p - 4 = 11
algebra 1 solving equations
Answer: the variable is p=6 .
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable
Answer:
p = 6
Step-by-step explanation:
Step 1: Simplify both sides.
3 + 2p − 4 = 11
3 + 2p + −4 = 11
(2p) + (3+−4) = 11 (Combine Like Terms)
2p + −1 = 11
2p − 1 = 11
Step 2: Add 1 to both sides.
2p − 1 + 1 = 11 + 1
2p = 12
Step 3: Divide both sides by 2.
2p/2 = 12/2
p=6
M=_ please help me thank you
Answer:
m= e= mc square
Step-by-step explanation:
Nolan plots the y-intercept of a line at (0, 3) on the y-axis. He uses a slope of 2 to graph another point. He draws a line through the two points. Which equation represents Nolan’s line?
y = 2x + 1
y = 2x + 3
y = 3x + 2
y = 3x + 5
Answer:
The equation of Nolan's line is [tex]y=2x+3[/tex]
Step-by-step explanation:
The slope-intercept form of a line is given by:
[tex]y=mx+b[/tex]
Here
m is the slope of the line
and b is the y-intercept.
Given
y-intercept = b = 3
slope = m = 2
The values of m and b can be put into the equation to find the line's equation
So,
Putting the value
[tex]y = 2x+3[/tex]
Hence,
The equation of Nolan's line is [tex]y=2x+3[/tex]
Answer:
The answer is y 2x + 3.
Step by step:
Because i know
find the slope of the graph given below
Answer:
[tex]-\frac{2}{3}[/tex]
Step-by-step explanation:
Isaac has $15,000 in his bank account. Every month he spends $1,000. He does not add money to the account. EN
Answer:
Then he has 15 months?
Step-by-step explanation:
you might need to explain your question
pls complete it (picture)
Answer:
The answer to your question is 24cm.
Step-by-step explanation:
6 multiplyed by 8 equals 48, and 48 divided by 2 equals 24.
Hope I helped. Have a spectacular day! ;)
Use the graph to find the cost of 8 hats.
Cost of Hats
110
100
90
80
($) 1803
10
8 7 8 10 11
Number of hats
O A. The cost of 8 hats is $7.50.
ООО
B. The cost of 8 hats is $75.00
O C. The cost of 8 hats is $8.00.
PREVIOUS
Answer:
are you missing a option because for me one option that has the same exact numbers that you mentioned is the cost of 8 hats is 60
Step-by-step explanation: