The coordinate of point P that divides the line segment into 2 parts and 3 parts is (-5,5).
Let's call the point that divides the line segment point P.
Point P divides the line segment into a ratio of 2:3
What is the ratio of 2:3?The ratio of 2:3 means we are dividing the line segment into 2+3=5 equal parts.
The horizontal distance between the two coordinates is 5.
The vertical distance between the two coordinates is 10.
Dividing both vertical and horizontal distance into five equal parts, we have a horizontal distance of 1 and a vertical distance of 2.
Every time we move one unit to the left from point J and two units up, we are dividing the line segment into five equal parts as shown in the picture.
The coordinate of point P that divides the line segment into 2 parts and 3 parts is (-5,5).
To learn more about the line segment visit:
https://brainly.com/question/2437195
#SPJ1
Evaluate:
10
Σ¹0 4(1)n-1 = [?]
Round to the nearest hundredth.
Enter
Answer:
Using the formula of geometric progression, we get 5.3333333. After rounding off to the nearest hundredth or to the two digit place after the decimal, we get 5.33.
Step-by-step explanation:
Concept: Given expression means that [tex]4(\frac{1}{4} )^{n-1}[/tex] is a series that starts from n = 1 and ends at n = 10. Or we can say that the given expression is a summation from n = 1 to n = 10. This will make a geometric progression. Use the formula of geometric progression to find the answer.
[tex]4(\frac{1}{4})^{0} + 4(\frac{1}{4})^{1} + 4(\frac{1}{4})^{2} +...+ 4(\frac{1}{4})^{10}\\4\frac{-(\frac{1}{4} )^{11} +1}{-\frac{1}{4} +1} \\4\frac{1}{\frac{3}{4} } \\\frac{16}{3} \\5.33333333\\[/tex]
Now, we want the answer to the nearest hundredth. This means that the answer should have two digits after the point.
The answer, to the nearest hundredth is 5.3333333
For more explanation, refer the following link
https://brainly.com/question/27959890
#SPJ10
aron bought an almirah for $1520 and sold it at a profit of 12 1/2% what is the selling price
Answer:
$1710
Step-by-step explanation:
let me know if you want an explanation :))
. Find the general solution to
d²y/dx²= 49y. Enter your answer as an equation y = ..
Note: d²y/dx²=k^2y
The given differential equation is linear with constant coefficients,
[tex]\dfrac{d^2y}{dx^2} - 49y = 0[/tex]
with characteristic equation
[tex]r^2 - 49 = 0[/tex]
and hence characteristic roots [tex]r=\pm7[/tex]. This means the general solution to the ODE is
[tex]y = C_1 e^{7x} + C_2 e^{-7x}[/tex]
In fact, you're given the solution already,
[tex]y = C_1 e^{kx} + C_2 e^{-kx}[/tex]
and you've determined that
[tex]\dfrac{d^2y}{dx^2} = k^2 (C_1 e^{kx} + C_2 e^{-kx}) = k^2 y[/tex]
Comparing this to the given ODE, it's obvious that [tex]k=7[/tex], so you can just replace [tex]k[/tex] with 7 in the given template solution.
2. Find the LCM of the following numbers by division method. (a) 16 and 28 (b) 36 and 44 (c) 45 and 120 (d) 10, 15 and 30 (e) 52 and 128 (f) 20, 60 and 80
(a):112
(b):396
(c):360
(d):30
(e):1664
(f):240
The stock of Company A gained 6% today to $87.45. What was the opening price of the stock in the beginning of the day?
The opening price of the stock at the beginning of the day was $82.5 and the stock of Company A gained 6% today to $87.45.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
We have:
The stock of Company A gained 6% today to $87.45.
Let x be the opening price of the stock in the beginning of the day.
(x + 0.06x) = 87.45
Because gained 6% today to $87.45
1.06x = 87.45
x = $82.5
Thus, the opening price of the stock at the beginning of the day was $82.5 and the stock of Company A gained 6% today to $87.45.
Learn more about the percentage here:
brainly.com/question/8011401
#SPJ1
What algebraic expression is a product with a factor of 5
Answer:
y=5x
Step-by-step explanation:
A product means multiplication, and you need to multiply x by 5 in order to make the product have a factor of 5.
Help my son please!!!
Answer:
that makes no sence at all i read it over 3 times and still font understand a word of it
sorry :(
Which statements about the location of the point are
true? Select three options.
The point is in the first octant.
The point lies behind the yz-plane.
The x-coordinate is -3.
The y-coordinate is positive.
The point lies to the left of the xz-plane.
Answer:
Step-by-step explanation:
Factor the polynomial function.
G(v) - 196v² + 100
Answer:
4(49v²+25)
Step-by-step explanation:
[tex]196 {v}^{2} + 100[/tex]
[tex]4(49 {v}^{2} + 25)[/tex]
Solve the problem.
Determine dy/dt for x^3 + y^3 = 9 given x = 1, y = 2, and dx/dt= -3
Differentiate both sides with respect to [tex]t[/tex], treating both [tex]x[/tex] and [tex]y[/tex] as functions of [tex]t[/tex].
[tex]x^3 + y^3 = 9 \implies 3x^2 \dfrac{dx}{dt} + 3y^2 \dfrac{dy}{dt} = 0[/tex]
Then when [tex]x=1[/tex], [tex]y=2[/tex] and [tex]\frac{dx}{dt}=-3[/tex], we get
[tex]3\times1^2\times(-3) + 3\times2^2\dfrac{dy}{dt} = 0 \implies \dfrac{dy}{dt} = \dfrac9{12} = \boxed{\frac34}[/tex]
12x² + 9x² =
A. 21x²²
B. 21x
C. 22x²
D. 22xA
Answer:
21x²
Step-by-step explanation:
hopefully A is a typo
Answer: A (if it's just a typo) or [tex]21x^{2}[/tex]
Step-by-step explanation:
Since it's the same variable and same exponent, you just need to add the whole numbers and put the same variable and exponent.
12 + 9 = 21
[tex]21x^{2}[/tex]
find the highest number of student of whom 125 apples, 150 oranges and 225 mangoes can be divided equally
Answer:
25
Step-by-step explanation:
find the greatest common factor (GCF) of the 3 quantities using prime factorisation.
125 = 5 × 5 × 5
150 = 2 × 3 × 5 × 5
225 = 3 × 3 × 5 × 5
Next, identify those prime factors that the 3 numbers have in common and multiply them.
the common factors are 5 × 5 = 25
then
125 ÷ 25 = 5
150 ÷ 25 = 6
225 ÷ 25 = 9
the 25 students each get 5 apples, 6 oranges and 9 mangoes
what is the value of x
let's name the vertices of the triangle as A B C and D as the image shown above
In triangle ABC
sin 60° = AB/AC
√3/2 = 8√2/ AC
AC = 16√2/√3
In triangle ACD
sin 45° = AC/AD
1/√2 = 16√2/ 3 AD
AD = 16/3 x = 16/3Two dice are rolled. What is the probability that the sum of the numbers rolled is either 10 or 11? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Answer:
P(Event) = N(Favorable Outcomes) / N (Total Outcomes)
P(sum of 10 or 11) = 5/36
Step-by-step explanation:
Probability states how likely an event is about to happen. The probability of an event can exist only between 0 and 1 where 0 indicates that event is not going to happen i.e. Impossibility and 1 indicates that it is going to happen for sure i.e. Certainty.
The higher or lessen the probability of an event, the more likely it is that the event will occur or not respectively. For example – An unbiased coin is tossed once. So the total number of outcomes can be 2 only i.e. either “heads” or “tails”. The probability of both outcomes is equal i.e. 50% or 1/2.
So,
P(Event) = N(Favorable Outcomes) / N (Total Outcomes)
Sample Space:
All the possible outcomes of an event are called Sample spaces.
Examples-
• If two dice are rolled together then total outcomes will be 36 and
Sample space will be
[ (1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)
(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)
(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)
(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)
(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)
(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6) ]
Probability of rolling a sum of 10 or 11 with two dice:
When two dice are rolled together then total outcomes are 36 and
Sample space is
[ (1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)
(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)
(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)
(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)
(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)
(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6) ]
So, pairs with sum 10 or 11 are (4, 6) (5, 5) (6, 4) (5,6) (6,5) i.e. total 5 pairs
Total outcomes = 36
Favorable outcomes = 5
Probability of getting the sum of 10 or 11 = Favorable outcomes / Total outcomes
= 5 / 36
So, P(sum of 10 or 11) = 5/36
Read to see a similar question related to probability:
https://brainly.com/question/743546?referrer=searchResults
#SPJ10
The triangles in the diagram below are similar. Find the distance across Clarence Lake. ( Figure may not be drawn to scale)
Answer: 40 km
Step-by-step explanation:
As corresponding sides of similar triangles are proportional, if we let the distance across Clarence lake be x,
[tex]\frac{x}{8}=\frac{15}{3}\\\\\frac{x}{8}=5\\\\x=\boxed{40 \text{ km}}[/tex]
.Let S =(5, 10, 15, 20, 25, 30} be the sample space of an experiment and let T = {5,10}, V = {5, 20, 30} and W = {10, 15, 25} be the events of the experimen.
I meed the true answer. tnx!
A set is a mathematical model for a collection of items. The set of W' is {5, 20, 30}.
What is a set?A set is a mathematical model for a collection of items; it comprises elements or members, which may be any mathematical object: numbers, symbols, points in space, lines, other geometrical structures, variables, or even other sets.
The complete question is given below.
Q13.
T ∪ V = Data points that are in T or V or both.
T ∪ V = {5, 10, 20, 30}
Q14.
T ∩ W = Data points that are in T and W both.
T ∩ W = {10}
Q15.
W' = Data points that are not in W.
W' = {5, 20, 30}
Hence, the set of W' is {5, 20, 30}.
Learn more about Set:
https://brainly.com/question/8053622
#SPJ1
What is the area of the rectangle below
Answer:
130 sq. units
Step-by-step explanation:
Any number multiplied by 10 is the same number with a 0 added at the end.
Answer:
1300
Step-by-step explanation:
1. calculator
2.putreef Iub numbers
3 solve
Any help will do! Thank you!
Let's take this problem step-by-step:
First let's set up the equation for the cost for one week of renting the car
agency charges $230 per week[tex]charge = 230[/tex]
agency charges $0.25 per mile (lets set the number of miles as 'x')[tex]charge = 230 + 0.25x[/tex]
The total cost was 415, therefore:
[tex]415 =230 + 0.25x\\185 = 0.25x\\x = 740[/tex]
Therefore, you traveled 740 miles
Answer: 740 miles
Hope that helps!
#LearnwithBrainly
The account balance of each of three children at the end of a month is shown below:
Daniel has −$1.25
Libby has −$2.00
Sandra has as much savings in her account as the amount Daniel owes the bank.
Part A: On a blank paper, draw a number line from −4 to +4. Plot points on the number line to show the account balances of the three children. Label the points using the name of each child. Describe in detail how you created and labeled this number line, and what it looks like in detail. (5 points)
Part B: Determine whether Daniel or Libby owes the bank more. Use absolute values and inequalities to write statements that justify your conclusion. (5 points)
Answer:
Using the concept of number line, we find that Libby owes more than Daniel.
Step-by-step explanation:
Given that the account balance of Daniel is -$1.25 and of Libby is -$2.00. Sandra has as much savings in her account as the amount Daniel owes the bank. So, her account balance is +$1.25.
The numbers to be plotted on the number line are -2.00, -1.25 and 1.25.
The number line is in the attachment.
These numbers are related as: -2 < -1.25 < 1.25.
From the number line, all the names that come left to the origin owe some amount to the bank while all the names that come right to the origin have some money as savings in their account.
Clearly, Daniel and Libby owe the bank.
But since Libby comes before Daniel, Libby owes more than Daniel.
For more explanation, refer the following link:
https://brainly.com/question/4727909
#SPJ10
Use the graph to Write an equation of the line(3,165)(1,55)
Answer:
y=55x
Step-by-step explanation:
(y1-y2)/(x1-x2)=(165-55)/(3-1)=55
55 is the slope
To find y-intercept:
y=55x+b
substitute 1 for x and 55 for y
55=55(1)+b
b=0
So y= 55x
the equation of the line passing through the points (3, 165) and (1, 55) is y = 55x. To write the equation of the line that passes through the points (3, 165) and (1, 55), you can use the point-slope form of a linear equation, which is: y - y₁ = m(x - x₁)
where (x₁, y₁) is one of the points on the line, m is the slope of the line.
First, calculate the slope (m) using the given points (3, 165) and (1, 55):
m = (y₂ - y₁) / (x₂ - x₁) = (55 - 165) / (1 - 3) = (-110) / (-2) = 55
Now that you have the slope (m = 55) and one of the points (let's use (3, 165)), you can plug them into the point-slope form:
y - 165 = 55(x - 3)
Now, you can simplify and rewrite this equation in slope-intercept form (y = mx + b):
y - 165 = 55x - 165
To isolate y, add 165 to both sides:
y = 55x
So, the equation of the line passing through the points (3, 165) and (1, 55) is y = 55x.
to know more about equation:
https://brainly.com/question/32543980
#SPJ3
Para administrar 500 ml de suero fisiológico (SF) al 0,9% en el período de 8 horas a las 20 horas, se debe planear un goteo, en gotas/min. Igual a:
Si administran 500 ml. La tasa de goteo requerida en gotas por minuto es de 21 gtt/min.
Tasa de goteo requeridaUsando esta fórmula
Tasa de goteo requerida=(ml administrado×gotas/mL)÷ (Número de horas×Número de minutos por hora)
Vamos a conectar la fórmula
Tasa de goteo requerida =(500 mL x 20 gtt/mL) ÷ (8 hrs. x 60 min)
Tasa de goteo requerida =10,000÷480
Tasa de goteo requerida = 20.8
Tasa de goteo requerida =21 gtt/min (Aproximadamente)
Por lo tanto, la tasa de goteo requerida en gotas por minuto es de 21 gtt/min.
Obtenga más información sobre la tasa de goteo requerida aquí: https://brainly.com/question/27370811
#SPJ1
Determin d/dx (x²+1) (7x-3) and d/dt(3t-2/5t+1)
Answer:
2x(7x-3) + (x²+1)(7)
Step-by-step explanation: use product rule
Please please help asap I’ll make I brainliest
Answer: [tex]x=5\sqrt{3}[/tex]
Step-by-step explanation:
As the triangle is equilateral, we know that all sides have a length of 10. Thus, if we consider either of the right triangles, we know they have legs of lengths 5 and x (since an altitude of an equilateral triangle bisects the side it is drawn to), and a hypotenuse of 10.
Thus, by the Pythagorean theorem,
[tex]5^{2}+x^{2}=10^{2}\\\\25+x^{2}=100\\\\x^{2}=75\\\\\boxed{x=5\sqrt{3}}[/tex]
Indicate the equation of the given line in standard form. Show all of your work for full credit.
The line containing the altitude to the hypotenuse of a right triangle whose vertices are P(-1, 1), Q(3, 5), and R(5, -5).
Answer: 24 sq units is the area of triangle.
Step-by-step explanation:
Given , (x1 , y1) = (-1, 1), (x2 , y2) = (3, 5) , (x3, y3) = (5, -5)
Using the Formula :
Area of triangle = [tex]\[\frac{1}{2}(x1(y2-y3) + x2(y3-y1) + x3(y1 -y2))\][/tex]
[tex]\[=\frac{1}{2}(-1(5-(-5)) + 3(-5-1) + 5(1-5)) \\=\frac{1}{2}(-10 -1 8 -20) \\=\frac{1}{2}(-48) = -24\][/tex]
Area cannot be negative. We only consider the numerical value of answer. Therefore, area of triangle = 24 sq units.
For more area of triangle related question:
https://brainly.com/question/14366937
#SPJ1
A country's population in 1991 was 103 million, in 1999 it was 108 million. estimate the total population in 2013
Answer:
117
Step-by-step explanation:
The total population is 117 million
simplify completely 12x^2 -4x^2+8x over -2x
Answer:
-4*(x+1)
Step-by-step explanation:
Simplify
⇒ 8x2 + 8x/-2x
2: Pulling out like terms
4.1 Pull out like factors :
8x2 + 8x = 8x • (x + 1)
Canceling Out :
4.2 Canceling out x as it appears on both sides of the fraction line
Final result :
-4 • (x + 1)
Answer:
-4(x+1)
Step-by-step explanation:
factor out -2x
-2x(-6x + 2x - 4) / -2x
the -2x in numerator and denominator cancel out
-6x + 2x - 4
-4x - 1
-4(x+1)
For the given equation, find the values of a, b, and c, determine the direction in which
and determine the y-intercept. Decide which table best illustrates these values for the equation
f(x) = -9x² +7x
Answer: Table D
Step-by-step explanation:
The coefficient of x^2 is -9, the coefficient of x is 7, and the constant is 0, so we know a = -9, b = 7, c = 0.
This eliminates tables A, B, and C.Thus, table D is the answer.
What is the value of x for the regular polygon shown below?
2x + 4
36
(-4, 150) find two pair of polar coordinates
The polar coordinates of (-4, 150°) will be [tex]\sqrt[2]{5629}\\[/tex] and 5069.09939523°
What is the coordinate about?The formula for this conversion will be:
r = [tex]\sqrt{x^2 + y^2}[/tex]
θ = [tex]tan ^-1 (\frac{y}{x} )[/tex]
[tex]r = \sqrt{(4^2) + (150^0)^2} \\\\θ = tan ^-1 (\frac{y}{x} )\\\\\\r = \sqrt[2]{5629} \\\\ = tan ^-1 (\frac{150}{4} )\\[/tex]
= [tex]\frac{75}{2}[/tex]
the inverse of: [tex]\frac{75}{2}[/tex] is θ = 5069.09939523°
Therefore:
[tex]r = \sqrt[2]{5629}\\[/tex]
θ = 5069.09939523°
So the polar coordinates of (-4, 150°) will be [tex]\sqrt[2]{5629}\\[/tex] and 5069.09939523°
Learn more about polar coordinates from
https://brainly.com/question/14965899
#SPJ1
in case of severe pathologic hypersecretory conditions a physician may order ZantacR up to 6 g/day if the patient is to be given 1.5 g/day divided into four doses what is the amount to administer per dose?
Step-by-step explanation:
sorry sorry ^$£%£$¥#^÷£=₩€%¥=£=;÷¥÷¥9=
