Answer:
Step-by-step explanation:
B=90-27=63 degrees
AC=12/(tan27)=23.6
AB=12/(sin27)=26.4
Is the coordinates of a point are 3 and 4?
The coordinates of the point at 3/4 of the distance from A to B from A is (-3.5, 1.25)
The coordinates of point A = (-5, -4),
The coordinates of the point B = (-3, 3)
Let the point at the distance 3/4 from A to B = P
The coordinates of point 3/4 from A to B = P
At the x-coordinate, the distance from B to A is = -3-(-5) = 2 units.
At the y-coordinate, the distance from B to A is = 3-(-4) = 7 units.
Hence, the coordinates of P = (-5 + (3/4×(x-coordinate), -4 + 3/4×(y-coordinate)
P = (-5 + (3/4×(2), -4 + 3/4×(7))
P = (-3.5, 1.25)
Hence, the coordinates of the point at 3/4 of the distance from A to B from A is (-3.5, 1.25).
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The complete question is -
What are the coordinates of the point 3/4 of the way from A to B?
В 8:00 велосипедист выехал И3 ПУНКТа А в пункт В. Доехав до пункта В, он сделал остановку
на полчаса, а в 10:30 выехал обратно с прежней скоростью. В 12:00 ему оставалось проехать
13 км до пункта А. Найдите расстояние между пунктами А и В.
10.-8.=2h
12:00-10:30=1.5h
2h-1.5h=0.5h
13km÷0.5h×2h=52km
i have 100 black shirts and 100 white shirts for a total of 200 shirts. if 5% and 5% of the white shirts are destroyed, and 5% of the black shirts are destroyed, what percentage of the total is destroyed?
Answer:30%
Step-by-step explanation:
consider the function g(x) = x^4 + 3x^3 - 19x^2 -27x + k
what is the value of j that makes (x-2) a factor of g(x)? justify your answer.
if (x-2) is a factor of g(x) and -5 is a zero of the function, what are the three other factor of g(x)? justify your answer
The value of k is 90.
The other factor of g(x) is, (x + 5)(x - 3)(x + 3)
What are polynomials?Polynomial is formed composed of the phrases Nominal, which means "terms," and Poly, which means "many." An expression that consists of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.
Given the function,
g(x) = x⁴ + 3x³ - 19x² - 27x + k
and (x - 2) a factor of g(x)
so g(2) = 0
g(x) = x⁴ + 3x³ - 19x² - 27x + k
g(2) = 2⁴ + 3(2)³ - 19(2)² - 27(2) + k
2⁴ + 3(2)³ - 19(2)² - 27(2) + k = 0
16 + 24 - 76 - 54 + k = 0
k = 90
the function is g(x) = x⁴ + 3x³ - 19x² - 27x + 90
B: -5 is a zero of the function,
f(-5) = 0, or x = -5
so factor is (x + 5)
the two factors are (x + 5)(x - 2)
(x + 5)(x - 2) = x² + 5x - 2x -10
(x + 5)(x - 2) = x² + 3x - 10
to find the other two factors we need to divide the function by
x² + 3x - 10
=> (x⁴ + 3x³ - 19x² - 27x + 90) ÷ (x² + 3x - 10)
quotient after division is
x² - 9 = (x - 3)(x + 3)
The factors of the function are (x - 2)(x + 5)(x - 3)(x + 3)
Hence k = 90, and
the three other factors of g(x) are (x + 5)(x - 3)(x + 3)
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can someone plz help me
Answer:
118 inches
Step-by-step explanati
1 yard is 36 inches, so you just do the math
36+36+36=108+10=118
Please help! I will give Brainly (don’t know how to spell the word)
20% of Ms. Royal's students came to class late. If 3 students came late to
class, how many students does Ms. Royal have in her class?
Answer:
15 students
Step-by-step explanation:
i just used multiplication
Answer:
15 students
Step-by-step explanation:
20% is 1/5
So is 3 is 1/5 you multiply 3 by 5 (since 1/5 is 3 and to find 5/5 its you need a full 5/5)
3*5 = 15
The width of a rectangle is 4 times its length, y. Which expressions represent the perimeter of the rectangle?
Select all the correct expressions.
Answer:
Length is greater than width, So your question is wrong I think.
y varies directly with x If y = 15 when x = 18, find у when X = 16.
Answer:
y = 13
Step-by-step explanation:
ILL BRAINLIEST YOU PLEASE HELP ME
Answer:
9.7
Step-by-step explanation:
\(cos(59)=5/x\\\\x*cos(59)=5\\\\x=5/cos(59)\\\\\)
x ≈ 9.7
In Rhombus THRY, Angle H is 3x+51, and Angle T is 2x+44, what is the measure of angle Y 102 90 88 78
The sοlutiοn οf the given prοblem οf angles cοmes οut tο be the angle Y has a 78 degree value.
An angle meaning is what?The twο circular lines that fοrm the ends οf a skew in Cartesian cοοrdinates are divided by the tοp and bοttοm οf the wall. Twο beams cοlliding may result in a junctiοn pοint. Angle is anοther οutcοme οf twο things interacting. They resemble dihedral shapes the mοst. A twο-dimensiοnal curve can be created by arranging twο line beams in variοus cοnfiguratiοns at their ends.
Here,
Oppοsing angles are equivalent in a rhοmbus. As a result, we have:
=> Angle H = Angle R = 3x + 51
=> Angle T = Angle Y = 2x + 44
Any quadrilateral's internal angles, including thοse in a rhοmbus, add up tο 360 degrees. Cοnsequently, we can write:
=> Angle H + Angle R + Angle T + Angle Y = 360
With the fοrmulas fοr each angle substituted, we οbtain:
=> (3x + 51) + (3x + 51) + (2x + 44) + (2x + 44) = 360
By cοndensing the left half, we οbtain:
=> 10x + 190 = 360
190 frοm bοth parts are subtracted, giving us:
=> 10x = 170
When we divide by 10, we get:
=> x = 17
Nοw we can determine the angle Y's measurement:
=> Angle Y = 2x + 44
=> Angle Y = 2(17) + 44
=> Angle Y = 34 + 44
=> Angle Y = 78
As a result, the angle Y has a 78 degree value.
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who will win the national championship lol
Answer:I think the huskies this year they are a point by 76
And the opposite team is by 59
Step-by-step explanation:
Equation 1: 3x - 5y = 4
equation 2: -2x + 6y= 18
Solve the system of equations
answer should be an ordered pair please.
Step-by-step explanation:
i hope this is gonna help....thank you.
Complete the following table with the statistics for your density calculations. Table view List view Calculatinne of vonlume delivered in earh trial Complete the following table with the statistics for your volume calculations. Report Table ME.4: Calculation of Volume Delivery Statistics Table view List view Density statistics for five objects Volume (mL) Average volume Standard deviation Coefficient of variation (CV) True volume 4.000 Absolute error \% error
The table provided requires the completion of statistics related to density and volume calculations for five objects.
What are the steps involved in calculating density and volume?Density Calculation:
To calculate density, we need to divide the mass of an object by its volume. The formula for density is:
\(\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]\)
In this case, the table requires the density statistics for five objects. To obtain these statistics, you need to determine the density of each object using the given data and formulas.
The density values for the objects will then be used to calculate statistics such as average density, standard deviation, and coefficient of variation.
Volume Calculation:
To calculate the volume of an object, we typically use the formula that corresponds to the shape of the object. Different objects may require different formulas for volume calculation. In the given table, you are required to calculate the volume delivered in each trial.
To obtain the volume statistics for the five objects, you need to calculate the volume of each object using the given data and appropriate volume formulas. The volume values for the objects will then be used to calculate statistics such as average volume, standard deviation, and coefficient of variation.
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Using PT in the Coordinate System
llus
Find the distance between the two points.
(-1,3)
(4,2)
✓ [?]
Enter the number that
goes beneath the
radical symbol.
Answer:
The distance between the two points is \(\sqrt{26}\)
Step-by-step explanation:
The formula of the distance between two points (x1, y1) and (x2, y2) is
d = \(\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}\)
∵ The points are (-1, 3) and (4, 2)
∴ x1 = -1 and x2 = 4
∴ y1 = 3 and y2 = 2
→ Substitute them in the formula of the distance above
∵ d = \(\sqrt{(4--1)^{2}+(2-3)^{2}}\)
∴ d = \(\sqrt{(4+1)^{2}+(-1)^{2}}\)
∴ d = \(\sqrt{(5)^{2}+1}\)
∴ d = \(\sqrt{25+1}\)
∴ d = \(\sqrt{26}\)
∴ The distance between the two points is \(\sqrt{26}\)
5x^3-7x Factor the expression completely.
Answer:
x(5x²-7)
Step-by-step explanation:
5x³-7x
=x(5x²-7)
To prove your answer,let's multiply x by each term in the bracket
=x X 5x²=5x³
x X -7 =-7x
pls I'll mark u BRAINLIEST
(B−A)∪C=(B∪C)−(A−C)
Answer:
(I don't have the complement sign of sets, so I've used "©" to denote compliment)
L.H.S.
(B-A)∪C
= (B∩A©)∪C
= (B∪C)∩(A©∪C)
= (B∪C)∩(A-C)©
= (B∪C)-(A-C) = R.H.S.
(Proved)
Solve for p.
9p3p-5 19
P = ?
The value of p is p = 3.17.
What is a linear equation in one variable?
The linear equation in one variable is an equation that is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.
The given equation is 9p-3p-5=19.
To solve for p, we need to isolate the p term on one side of the equation. Currently, p is part of the term 9p-3p, which can be simplified to 6p.
We can then rewrite the equation as:
6p = 19
To solve for p, we need to divide both sides by 6:
p = 19/6
= 3.17
Therefore, the value of p is p = 3.17.
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PLS HELP! I'M SO STUCK!!
Answer:
E
Step-by-step explanation:
i just kinda figured it out
- The Euler equation (t – to)?y" + alt - to)y' + By = 0 is known to have the general solution y(t) = Cit? cos(in |t|) + cat sin(In \tſ), t = 0 = What are the constants to, a and B?
To determine the constants to, a, and B in the given Euler equation, more information, such as initial or boundary conditions is required.
The given Euler equation (t – to)?y" + alt - to)y' + By = 0 has the general solution y(t) = Cit? cos(in |t|) + cat sin(In \tſ), t = 0.
Given the Euler equation: (t – to)?y" + alt - to)y' + By = 0
Given the general solution of the equation: y(t) = Cit? cos(in |t|) + cat sin(In \tſ), t = 0
To determine the constants to, a, and B in the equation, additional information such as initial or boundary conditions is required.
Without any initial or boundary conditions, the values of the constants cannot be uniquely determined.
The initial or boundary conditions can be used to solve for the constants.
For example, if y(0) = 1 and y'(0) = 0 are given, the constants can be solved for using the general solution of the equation.
Therefore, to determine the constants to, a, and B in the given Euler equation, more information, such as initial or boundary conditions is required.
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39. Find the minimized Boolean expression for the functions defined by each of the following truth tables a) x у Z F 0 0 0 X 0 0 1 X 10 1 0 1 0 1 1 0 1 0 0 0 1 0 1 1 1 1 0 0 1 1 1 b) w x y Z F 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 1 1 0 0 1 0 0 х 0 1 0 1 0 0 1 1 0 X 0 1 1 0 1 10 0 0 1 1 0 D 1 X 1 10 1 0 х 1 0 1 1 X 1 1 0 0 X 1 1 0 1 1 1 1 1 0 X 1 1 1 X
The minimized boolean expression for this truth table is:
F = w'x'z + w'yz' + wx' + wxy'zThe given truth table for the function defined by the boolean expression X у Z F is shown below;
x y z F
0 0 0 0
0 0 1 0
0 1 0 1
0 1 1 0
1 0 0 1
1 0 1 0
1 1 0 1
1 1 1 1
To obtain the minimized expression, we can use Karnaugh maps or Boolean algebra laws like distributivity, commutativity, and associativity to simplify the original expression. However, since the expression is relatively small, we can also obtain the minimized expression by inspection.
The minimized boolean expression for this truth table is:
F = y'z' + xzThe given truth table is:
w x y z F
0 0 0 0 0
0 0 0 1 1
0 0 1 0 0
0 0 1 1 0
0 1 0 0 X
0 1 0 1 0
0 1 1 0 X
0 1 1 1 1
1 0 0 0 1
1 0 0 1 1
1 0 1 0 X
1 0 1 1 1
1 1 0 0 X
1 1 0 1 1
1 1 1 0 X
1 1 1 1 X
Therefore, the minimized boolean expression for this truth table is:
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Write 546/61 as a mixed number.
Can you solve it
Answer:
8 58/61.
Step-by-step explanation:
546/61 = 8 remainder 58
so it's 8 58/61.
Ambroe ha indierence curve with the equation x2 = contant 4x
1=2
1 where larger contant correpond to higher indierence curve. If good 1 i drawn on the horizontal axi and good
2 on the vertical axi, what i the lope of Ambroe' indierence curve when hi conumption
bundle i (16; 9)
Using the Indifference curve , the slope of ambrose indifference curve is -2.
Indifference Curve
A bunch of places of consumption where consumer tastes are indifferent is an indifference curve. Indifference curves are usually convex towards the origin.
Rewriting algebraically the equation of the indifference curve U(t, y)=c in the form y=g(t, c),
where g(t, c) is a decreasing convex function of t for c given .
Indifference curve is given by:
x₂ = C − 4x₁¹/²
Slope of the indifference curve = dx₂/dx₁
Hence, Slope of the Ambrose indifference curve = dx₂/dx₁ = -(1/2)(4/x₁¹/²)
=> Slope of the Ambrose indifference curve = -2/x₁¹/²
At (1,6), Slope of the Ambrose indifference curve = -2/x₁¹/² = -2/1= -2
Hence, Slope of the Ambrose indifference curve = -2
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11. The following is the distribution of heights of students of a class in a school. Find the mean, median and modal height. 160-163 Height (in cm) No: of students 15 163-166 118 166-169 142 169-172 127 172-175 18
The mean height of the students in the class is 168.06 cm. The median height is 167.5 cm, and the modal height is in the range of 166-169 cm.
To find the mean, median, and modal height of the students in the class, we can use the given distribution of heights.
The distribution of heights and the corresponding number of students are as follows:
Height (in cm) No. of students
160-163 15
163-166 118
166-169 142
169-172 127
172-175 18
Mean:
To find the mean height, we can calculate the weighted average using the midpoint of each height range and the number of students in each range.
Mean = (15 * 161.5 + 118 * 164.5 + 142 * 167.5 + 127 * 170.5 + 18 * 173.5) / (15 + 118 + 142 + 127 + 18)
Mean = 168.06 cm
Median:
The median is the middle value of the data when arranged in ascending order. Since the distribution is already provided, we can determine the median by finding the midpoint of the total number of students.
Total number of students = 15 + 118 + 142 + 127 + 18 = 420
Median position = (420 + 1) / 2 = 210.5
The median falls within the 166-169 cm height range. Therefore, the median height is 167.5 cm.
Modal height:
The modal height is the height value that appears most frequently in the data. In this case, the height range with the highest number of students is the modal height. According to the data, the 166-169 cm height range has the highest frequency, with 142 students.
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Literacy
Fill in the missing letters to make Maths related words:
Venn
Set
Diagram
Universal
S_r_i_g
Event
Probability
Not
Answer:
Sorting
Step-by-step explanation:
Quadrilateral ABCD is similar to quadrilateral A'B'C'D'. Write a proportion that would have to be true, involving the side lengths of the quadrilaterals
(Hint: use the / key to get fractions!)
The true proportion of the side lengths of the quadrilaterals is A'B'/AB
How to determine the true proportion of the quadrilaterals?From the question, we have the following parameters that can be used in our computation:
Quadrilaterals ABCD and A'B'C'D
These quadrilaterals are similar
So, it means that the corresponding side lengths are proportional
So. we have
Side length = AB
Corresponding side length = A'B'
The true proportion is then represented as
k = Corresponding side length/Side length
Substitute the known values in the above equation, so, we have the following representation
k = A'B'/AB
Hence, the proportion is A'B'/AB
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A health club charges a $75 membership fee. Weasley has $300 to spend on a health club membership. Write an inequality to model the number of months that Weasley can afford to be a member of the health club. What is the maximum number of months that he can use the health club?
Answer:
4 months
Step-by-step explanation:
we take $300 ÷$75 which is per month
then we get 4 , which is our months
. A middle school teacher conducted a survey of the 8th grade class and found that 43 students were athletes and 19 of those students drink soda. There were 33 students that were not athletes, but drank soda. Last, they found that 22 students were not athletes and did not drink soda. Given this information, how many students don't drink soda
There are 46 students don't drink soda.
Let's use a Venn diagram to represent the information given in the problem:
Athletes
/ \
/ \
Soda / \ No Soda
/ \
/ \
/ \
----------------------------------------------
| |
| |
| |
Drink No Drink
| |
| |
| |
----------------------------------------------
| |
| |
| |
19 24
| |
| |
|
----------------------------------------------
| |
| |
| |
33 10
| |
| |
| |
----------------------------------------------
| |
| |
| |
24 22
| |
| |
| |
----------------------------------------------
The diagram, we can see that there are 24 students who drink soda and are athletes, 19 who drink soda but are not athletes, 33 who are not athletes but drink soda, and 22 who are neither athletes nor soda drinkers.
The number of students do not drink soda, we need to add the number of students who are athletes but do not drink soda to the number of students who are neither athletes nor soda drinkers:
Number of students who don't drink soda
= Number of athletes who don't drink soda + Number of students who are neither athletes nor soda drinkers
Number of athletes who don't drink soda = Total number of athletes - Number of athletes who drink soda = 43 - 19 = 24
Number of students who are neither athletes nor soda drinkers = 22
The number of students who don't drink soda is:
Number of students who don't drink soda = 24 + 22 = 46.
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a.Explain how ships enter and leave a port and a harbour
b.what is a transit harbour, ,point of convergence, gate way port
c. discuss the 4 factors that affects the design of modern ports
Ships enter and leave a port or harbor through a process known as "ship navigation." When a ship approaches a port or harbor, it follows a designated shipping channel or fairway. This channel is usually marked by buoys or beacons to guide the ship safely.
Environmental considerations: Modern port design takes into account environmental factors, such as coastal erosion, water quality, and marine habitat protection. Ports may need to incorporate measures to minimize the impact on the environment, such as the use of environmentally friendly construction materials, waste management systems, or the implementation of measures to reduce air and water pollution.
In summary, ships enter and leave a port or harbor through ship navigation, which involves following a designated shipping channel. A transit harbor is a stopover location for ships, a point of convergence is where shipping routes intersect, and a gateway port is a major hub for international trade. The design of modern ports is influenced by factors such as geography, traffic volume, accessibility, and environmental considerations.
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How many solutions does this
system have?
(24x - 9y = 3
8x - 3y = 1
-
A. None
B. One
C. Infinite
Answer:
C) Infinitely many solutions
Step-by-step explanation:
Given the systems of linear equations in standard form:
Equation 1: 24x - 9y = 3
Equation 2: 8x - 3y = 1
Transform both equations into slope-intercept form, y = mx + b:
Equation 1: 24x - 9y = 3Subtract 24x from both sides:
24x - 24x - 9y = -24x + 3
-9y = -24x + 3
Divide both sides by -9 to isolate y:
\(\mathsf{\frac{-9y}{-9}\:=\:\frac{-24x + 3}{-9} }\)
\(\mathsf{y\:=\:\frac{8}{3}x\:-\frac{1}{3}}\) ⇒ This is the slope-intercept form of Equation 1, 24x - 9y = 3.
Equation 2: 8x - 3y = 1Subtract 8x from both sides:
8x - 8x - 3y = - 8x + 1
-3y = -8x + 1
Divide both sides by -3 to isolate y:
\(\mathsf{\frac{-3y}{-3}\:=\:\frac{-8x + 1}{-3} }\)
\(\mathsf{y\:=\:\frac{8}{3}x\:-\frac{1}{3}}\) ⇒ This is the slope-intercept form of Equation 2, 8x - 3y = 1.
It turns out that both equations in the given system are equivalent, and their graphs will coincide on top of one another. In this case, the equations are said to be dependent, both equations will have the same solutions.
Hence, there are infinitely many solutions to the given systems of linear equations, making Option C the correct answer.
a can of soda is placed inside a cooler. as the soda cools, its temperature in degrees celsius is given by the following function, where is the number of minutes since the can was placed in the cooler. find the temperature of the soda after minutes and after minutes. round your answers to the nearest degree as necessary.
The temperature of the soda after 20 minutes is approximately -18 degrees Celsius. To find the initial temperature of the soda, we can evaluate the function T(x) at x = 0.
Substitute x = 0 into the function T(x):
T(0) = -19 + 39e^(-0.45*0).
Simplify the expression:
T(0) = -19 + 39e^0.
Since e^0 equals 1, the expression simplifies to:
T(0) = -19 + 39.
Calculate the sum:
T(0) = 20.
Therefore, the initial temperature of the soda is 20 degrees Celsius.
To find the temperature of the soda after 20 minutes, we substitute x = 20 into the function T(x):
Substitute x = 20 into the function T(x):
T(20) = -19 + 39e^(-0.45*20).
Simplify the expression:
T(20) = -19 + 39e^(-9).
Use a calculator to evaluate the exponential term:
T(20) = -19 + 39 * 0.00012341.
Calculate the sum:
T(20) ≈ -19 + 0.00480599.
Round the answer to the nearest degree:
T(20) ≈ -19 + 1.
Therefore, the temperature of the soda after 20 minutes is approximately -18 degrees Celsius.
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INCOMPLETE QUESTION
A can of soda is placed inside a cooler. As the soda cools, its temperature Tx in degrees Celsius is given by the following function, where x is the number of minutes since the can was placed in the cooler. T(x)= -19 +39e-0.45x. Find the initial temperature of the soda and its temperature after 20 minutes. Round your answers to the nearest degree as necessary.