The Rational Roots Theorem identifies possible rational roots of a polynomial equation in terms of factors of its coefficients.
The Rational Roots Hypothesis, otherwise called the Judicious Zeros Hypothesis, is a numerical hypothesis that assists with recognizing conceivable objective foundations of a polynomial condition. In particular, that's what it expresses on the off chance that a polynomial condition with number coefficients has a sane root, that root should be of the structure p/q, where p is a variable of the consistent term and q is an element of the main coefficient.
For instance, in the event that a polynomial condition has the structure ax^3 + bx^2 + cx + d = 0, and the main coefficient an and the consistent term d are numbers, then, at that point, the conceivable sane foundations of the situation are the quantities of the structure p/q, where p is a component of d and q is a variable of a.
The Normal Roots Hypothesis is valuable in tackling polynomial conditions and deciding if they have reasonable roots.
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Find the equation of a line perpendicular to y=−4x+4 that contains the point (5,−1).
The equation of the line perpendicular to y = -4x + 4 that contains the point (5, -1) is y = 1/4x - 9/4.
The given equation is y = -4x + 4, which is in slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.
To find the slope of the given line, we can compare it to the slope-intercept form and see that the slope is -4.
Since we want to find the equation of a line that is perpendicular to the given line, we know that its slope will be the negative reciprocal of -4.
The negative reciprocal of -4 is 1/4, so the slope of the perpendicular line is 1/4.
Now we have the slope of the line and a point that it passes through, so we can use the point-slope form of a line to write the equation:
y - y1 = m(x - x1)
where (x1, y1) is the given point and m is the slope we just found.
Plugging in the values, we get:
y - (-1) = 1/4(x - 5)
Simplifying this equation, we get:
y + 1 = 1/4x - 5/4
Subtracting 1 from both sides, we get the final equation:
y = 1/4x - 9/4
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Find the arc length shown in red. Give your answer to 3 SF.
[tex]\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180} ~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=3\\ \theta =300 \end{cases}\implies s=\cfrac{(300)\pi (3)}{180}\implies s=5\pi \implies s\approx 15.71~mm[/tex]
Pls helpppp
Find the exact area of the shaded region. Point O marks the center of the circle.
25.44cm^2 is the area of the composite figure,
Area of composite shapeA composite shape is a shape that is made up of two or more figures.
The given shape is made up of circle and triangles. The area of the shaded region is expressed as:
Area = area of semicircle - area of triangle
Area of semicircle = πr²/2
Area of semicircle = 3.14(6)²/2
Area of semicircle = 3.14 * 18
Area of semicircle = 56.62 cm^2
For the triangle;
Area of triangle = 1/2absin60
For the value of a;
a/12 = cos60
a/12 = 1/2
a = 6
Area of triangle = 1/2(12)(6) sin60
Area of triangle = 31.17cm^2
Area of the shaded portion = 56.62 - 31.17
Area of the shaded portion = 25.44cm^2
Hence the area of the shaded portion is 25.44cm^2
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a1: What was the meal's subtotal?
a2: How much was the 18% tip?
a3: What was the TOTAL cost of their meal?
b: If they split the final cost, how much will each pay?
a. The subtοtal is $23.45, the tip is $4.22, and the tοtal cοst οf their meal is $27.67.
b. Each persοn wοuld pay $13.84.
What is Additiοn?The additiοn is a basic arithmetic οperatiοn that cοmbines twο οr mοre quantities intο a single sum. It is οne οf the fοur basic οperatiοns in arithmetic, alοng with subtractiοn, multiplicatiοn, and divisiοn.
In additiοn, the quantities being cοmbined are called addends, and the result οf the additiοn οperatiοn is called the sum. The additiοn is represented using the plus sign (+), which is placed between the addends. Fοr example, the additiοn expressiοn "3 + 5" means that we are adding 3 and 5 tοgether tο get a sum οf 8.
Fοr example, tο add the numbers 34 and 56, we start by adding the digits in the οne's place, which gives us 4 + 6 = 10. We write dοwn the 0 and carry the 1 οver tο the tens place. Then we add the digits in the tens place, which gives us 3 + 5 + 1 = 9. The final answer is 90.
a: Subtοtal = Hamburger + Guacamοle + Cheeseburger + Fries + Sοda + Milk
Subtοtal = $7.99 + $1.00 + $8.99 + $2.49 + $1.99 + $0.99
Subtοtal = $23.45
Tip = 18%×Subtοtal
Tip = 0.18 × $23.45
Tip = $4.22 (rοunded tο the nearest cent)
Tοtal = Subtοtal + Tip
Tοtal = $23.45 + $4.22
Tοtal = $27.67 (rοunded tο the nearest cent)
Therefοre, the subtοtal is $23.45, the tip is $4.22, and the tοtal cοst οf their meal is $27.67.
b: If Sue and her friend split the final cοst equally, each persοn wοuld pay half οf the tοtal cοst:
$27.67 / 2 = $13.84 (rοunded tο the nearest cent)
Therefοre, each persοn wοuld pay $13.84.
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Charlotte wants to use a sheet of fiberboard 34 inches long to create a skateboard
ramp with a 20° angle of elevation from the ground. How high will the ramp rise
from the ground at its highest end? Round your answer to the nearest tenth of an
inch if necessary.
The ramp will upward push to a top of about 18.8 inches at its maximum end.
What is the Pythagorean theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.
Given, The ramp has a length of 34 inches, The angle of elevation from the ground is 20 degrees.
We can use trigonometry to solve this problem.
The height of the ramp can be found using the following formula:
Height = Length x sin(θ)
where,
"Length" is the length of the ramp
"θ" is the angle of elevation in radians.
To convert the angle of elevation from degrees to radians,
angle in radians = (angle in degrees) x (pi/180)
Substituting the values we have, we get:
angle in radians = 20 x (pi/180) = 0.349 radians
Then, we can calculate the height of the ramp using the formula:
Height = 34 x sin(0.349)
= 18.8 inches (rounded to the nearest tenth)
Therefore, the ramp will rise to a height of approximately 18.8 inches at its highest end.
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Genevieve's family traveled
2
7
of the distance to her grandfather’s house on Saturday. They traveled
4
5
of the remaining distance on Sunday. What fraction of the total distance to her grandfather’s house was traveled on Sunday?'
2/4 + 4/5
=28/35 is the total distance to her grandfather's house
PLEASE ANSWER FAST I WILL MARK YOU BRAINLIST AND FULL STARS!!!
a) Isaac is purchasing two pairs of shoes—one pair for $37. 00 and the second pair for $42. 0. The state sales tax applied to Isaac’s bill is 7%. How much is Isaac’s total bill? Show your work. (2 points)
b) If Isaac uses a coupon entitling him to a 25% discount off the purchase price before tax, how much will his bill be? Assume that a 7% sales tax is applied to the discounted price. Using words, explain how you found the discounted price. (3 points)
Answer:
here is how to solve the math problems with sales tax and discount:
a) To find the total bill, we need to add the purchase price and the sales tax. To find the sales tax, we need to multiply the purchase price by the sales tax rate. The purchase price is the sum of the prices of the two pairs of shoes, which is $37 + $42 = $79. The sales tax rate is 7%, which as a decimal is 0.07. So, the sales tax is 0.07 x 79 = $5.53. The total bill is 79 + 5.53 = $84.53.
b) To find the discounted price, we need to subtract the discount from the original price. To find the discount, we need to multiply the original price by the discount rate. The original price is the same as the purchase price in part a, which is $79. The discount rate is 25%, which as a decimal is 0.25. So, the discount is 0.25 x 79 = $19.75. The discounted price is 79 - 19.75 = $59.25. To find the total bill with the coupon, we need to add the sales tax to the discounted price. The sales tax rate is still 7%, which as a decimal is 0.07. So, the sales tax is 0.07 x 59.25 = $4.15. The total bill with the coupon is 59.25 + 4.15 = $63.40.
I hope this helps!
Step-by-step explanation:
A plastic rod has been bent into a circle of radius R=8.20 cm. It has a charge Q1
=+4.20 pC uniformly distributed along one-quarter of its circumference and a charge Q2
=−6Q 1
uniformly distributed along the rest of the circumference (in the above figure). With V=0 at infinity, what is the electric potential at
(a) the center C of the circle and (b) point P, on the central axis of the circle at distance D=6.71 cm from the center?
a) The electrical potential V (center) at the center C of the circle due to the charges Q1 and Q2 is -2.30 V.
b) The total electrical potential at the point P due to charge Q1 and Q2 , located at a distance of 6.71 cm is -1.78V.
Given that:
Radius of the circle, r = 8.20cm
Charge distributed along one-quarter of the circumference of the circle,
Q1 = +4.20pC
Charge distributed along 3/4th of the circumference of the circle,
Q2 = 25.20pC
Distance of the point from the center, d = 6.71cm
The electric potential at infinity is. V = 0
Using the concept of potential at a point on a thin rod, we can obtain the individual potential due to each charge. The sum of these values can now be used to obtain the desired potential value at the center and at the point, taking into account the distance to the point.
Formula:
The potential due to a point charge at a distance r from the point charge is determined by the equation V = [tex]\frac{1}{4\pi E_0} * \frac{q}{r}[/tex] ---------------- (1)
The potential due to the collection of point charges is determined by formula:
V = ∑[tex]\frac{1}{4\pi E_0} * \frac{q}{r}[/tex] -------------------- (2)
(a) The potential VQ1 at the center C of the circle due to the charge Q1 is determined using equation (i) as:
[tex]V_Q_1 = \frac{1}{4\pi E_0} * \frac{Q_1}{R}[/tex] --------------------- (3)
Here, R is the radius of circle
The potential VQ1 at the center C of the circle due to the charge Q1 is determined using equation (i) as:
[tex]V_Q_1 = \frac{1}{4\pi E_0} * \frac{Q_2}{R}[/tex] ----------------------- (4)
Now the potential V(center) at the center C of the circle due to charges Q1 and Q2 is the sum of the potential due to charge Q1 and the potential due to charge Q2. This is given using equations (a) and (b) in equation (ii) as:
[tex]V_Center = \frac{1}{4\pi E_0} * \frac{Q_1}{R} + \frac{1}{4\pi E_0} * \frac{Q_2}{R}[/tex]
⇒ [tex]V_Center = \frac{1}{4\pi E_0} *( \frac{Q_1}{R} + \frac{Q_2}{R})[/tex]
⇒ 9.0 × 10⁹Nm²/C₂ ([tex]\frac{4.20*10^-12 C}{0.082m} +\frac{-25.2*10^-12C}{0.082m}[/tex])
⇒ -2.30V
The electrical potential V (center) at the center C of the circle due to the charges Q1 and Q2 is -2.30 V.
(b) From the above figure the r between each charged particle and the point P is given as:
[tex]r = \sqrt{R^{2}+D^{2} }[/tex]
In the figure above, r between each charged particle and point P is defined as: ="1662703245948 "
[tex]V_Q_1 = \frac{1}{4\pi E_0} * \frac{Q_1}{\sqrt{R^{2} + D^{2} } }[/tex] ------------------ (5)
Again, the electric potential at point P due to charge Q2 is given using equation (i) as follows:
[tex]V_Q_1 = \frac{1}{4\pi E_0} * \frac{Q_2}{\sqrt{R^{2} + D^{2} } }[/tex] -------------------- (6)
A The potential at point P due to charge Q2 is determined using equation (i): The potential of charge Q1 and the potential of charge Q2. This is given using equations (c) and (d) in equation (ii) as:
[tex]V_P = 9.0 * 10^9Nm^2/C^2 (\frac{4.20*10^-12C-6(4.20*10^-12C)}{\sqrt{(0.082m)^{2} + (0.082m)^{2} } })[/tex]
= -1.78V
The total electrical potential at the point P due to charge Q1 and Q2 , located at a distance of 6.71 cm is -1.78V.
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PLEASE HELP
tell whether the lines for each pair of equations are parallel perpendicular or neither
y=-5/6x-4
-10x-12y=-18
The relationship between the lines is (a) parallel
How to determine the relationship between the linesFrom the question, we have the following parameters that can be used in our computation:
y =-5/6x - 4
-10x - 12y = -18
To determine if the two lines are parallel or not we need to compare their slopes.
Make y the subject
y = -5/6x - 4
y = -5/6x + 3/2
A linear equation represented as
y = mx + c
...has its slope to be m
Using the above as a guide, we have the following:
Slope of the first line = -5/6Slope of the second line = -5/6Since the slopes are equal, the two lines are parallel.
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How to convert 100 minutes in hours?
The value of conversion of 100 minutes to hours is equal to 1 ( 2/ 3 ) hours.
Minutes and hours are unit which are used to measure time.Hours is greater than minutes.Conversion of minutes to hours is :
One hour is equal to sixty minutes
⇒ 1 minutes = ( 1 / 60 ) hours
Substitute the required value to convert into hours we get ,
⇒ 100 minutes ( 100 / 60 ) hours
⇒ 100 minutes = 1 40 / 60 hours
⇒ 100 minutes = 1 2 / 3 hours
Therefore, after converting minutes into hours the value of 100 minutes is equal to 1 ( 2 / 3 ) hours.
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The volume of a big pot is 2 gallons, and the volume of a small pot is 3 quarts. What is the difference in volume between the two pots?
The difference between the two pots is 4731.761 cm^3
How to determine this?
1 gallon = 3785.41 cm^3
2 gallons = 3785.41 cm^3 *2
= 7570.82 cm^3
And also,
1 quart = 946.353 cm^3
3 quarts = 946.353 cm^3 * 3
= 2839.059 cm^3
So, the difference between the two
= 7570.82 cm^3 - 2839.059 cm^3
= 4731.761 cm^3
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There are 3 roles and they are assigned randomly to 3 people ( Alice, Bob and Charlie ): Truth teller ( Always tells the truth ) Liar ( Always lies ) Spy ( Can tell truths and lies ) - Alice says she is not the truth teller - Bob says he is not the spy - Charlie says he is not a liar Deduce who has what role?
In conclusion, it is not possible to determine with certainty who has what role.
Given by the solution:
Let's consider each statement one by one:
If Alice is the truth teller, then she is telling the truth, which means she can't be the truth teller, leading to a contradiction. So, Alice can't be the truth teller.
If Alice is the liar, then she is lying, which means she is the truth teller, leading to a contradiction. So, Alice can't be the liar.
If Alice is the spy, then she can either tell the truth or lie. If she tells the truth, then she can't be the truth teller, leading to a contradiction. If she lies, then she can't be the liar, leading to a contradiction. So, Alice can't be the spy.
Therefore, Alice can't have any of the roles.
Bob says he is not the spy.If Bob is the truth teller, then he is telling the truth, which means he can't be the spy, leading to a contradiction. So, Bob can't be the truth teller.
If Bob is the liar, then he is lying, which means he could be the spy. Therefore, Bob can be the liar or the spy.
Charlie says he is not a liar.If Charlie is the truth teller, then he is telling the truth, which means he can't be the liar, leading to a contradiction. So, Charlie can't be the truth teller.
If Charlie is the liar, then he is lying, which means he could be the truth teller or the spy. Therefore, Charlie can be the liar, the truth teller or the spy.
Combining the results from the above statements, we get the following possibilities:
Alice is the spy, Bob is the liar, and Charlie is the truth teller.Alice is the spy, Bob is the liar, and Charlie is the spy.Alice is the spy, Bob is the spy, and Charlie is the liar.In conclusion, it is not possible to determine with certainty who has what role.
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Explain how to use the commutative property of multiplication to rewrite 4gh^3g^2h.
The commutative property of multiplication can be used to rewrite the given term as; 4g³h⁴.
What is the commutative property of multiplication?The commutative property of multiplication simply postulates that changing the order of factors does not change the product. Hence; a × b = b × a.
Hence, since the given expression; 4gh³g²h can be written using the commutative property as;
4 • g • g² • h³ • h.
Consequently, the resulting form of the term is therefore; 4g³h⁴.
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round this number to nearest hundredth 45.007
Answer:
45.01
Step-by-step explanation:
You round to the nearest hundredth so since seven is big enough you add a 1 to the hundredth place
Use the diagram to find the distance WX across the water
Answer:
115m
Step-by-step explanation:
Given
In TriangleXYZ
XZ = 23m
ZY = 19m
In TriangleXVW
WV = 95m
Solution
In Triangles XYZ and XVW
AngleWXV = AngleYXZ as they are Vertically Opposite Angles
AngleXWV = AngleXZY as they are Alternate Angles
Therefore TriangleXYZ and TriangleXVW are Similar Triangles
So,
XY/XV = YZ/VW = XZ/XW as they are Corresponding Sides of Similar Triangles
So,
XZ/XW = YZ/VW
or
23/XW = 19/95
23/XW = 1/5
XW = 23 × 5
XW = 115m
Therefore the distance WX is 115m
What is the conversion of 68 kg to pounds?
68 kilograms is approximately equal to 149.91416 pounds.
A kilogram (symbol: kg) is the base unit of mass in the International System of Units (SI).
It is currently defined based on the fixed numerical value of the Planck constant, h,
Which is equal to 6.62607015 × 10-34 in the units of J·s.
A pound (symbol: lb) is a unit of mass used in the imperial and US customary systems of measurement.
The international avoirdupois pound (the common pound used today) is defined as exactly 0.45359237 kilograms.
To convert 68 kilograms to pounds,
We need to multiply the value in kilograms by 2.20462,
Since one kilogram is approximately equal to 2.20462 pounds.
Therefore,
68 kilograms multiplied by 2.20462 gives us:
68 kg x 2.20462 = 149.91416 pounds
(rounded to five decimal places)
So, 68 kilograms is approximately equal to 149.91416 pounds.
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what does the high-level design step include? each correct answer represents a complete solution. choose all that apply.
The high - level design steps include :
Defining system requirements and constraintsDetermining how the components will interact with each otherConsidering potential technical challenges and risksWhat are high - level design steps ?High-level design steps refer to the early stages of the design process where the system is defined in general terms.
Defining system requirements and constraints involves collecting information about the system's desired features and capabilities. This information may come from various stakeholders, including customers, users, and subject matter experts.
Another important step involves identifying and addressing potential security risks and designing appropriate security measures.
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Options for this question include :
Defining system requirements and constraintsIdentifying minor components Determining how the components will interact with each otherIdentifying work metrics Considering potential technical challenges and riskshow to convert147 cm to feet?
The conversion of the unit centimeters to feet is written as 147 centimeters = 4.82283 feet.
Centimeters and feet are the units which are used to measure the length of the given parameter.Relation between centimeter and feet is equal to :
One centimeter is equal to 0.0328084 feet.
Now substitute the required converted value centimeter to feet we have,
⇒ 147 centimeters = ( 147 ) × ( 0.0328084 ) feet
⇒ 147 centimeters = ( 4.8228348 ) feet
⇒ 147 centimeters = ( 4.82283 ) feet ( Round upto four decimals )
Therefore, the converted units centimeter to feet as per the measurements is equal to ( 4.82283 ) feet ( Round upto four decimals ) .
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The equation y = m x b is the slope-intercept form of the equation of a line. what is the equation solved for b?
The equation solved for b is b = y/m
The equation y = m x b is a linear equation in slope-intercept form, which is commonly used to describe the relationship between two variables in a line. In this equation, the variable m is the slope of the line, and b is the y-intercept, or the point at which the line crosses the y-axis.
To solve this equation for b, we can rearrange it to isolate b on one side of the equation.
To do this, we can divide both sides of the equation by m, giving us y/m = b.
This is an equivalent equation that is solved for b, as b is on its own on the right side of the equation. Therefore, the equation solved for b is y/m = b
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Use the series formula to find the sum of the geometric sequence -5,15,45,135 Use the series formula to find the sum of the geometric sequence. Find the sum of the first 10 terms.
The sum of the first 10 terms of the sequence -5, 15, 45, 135 is 295240.
We can use the following formula to determine the sum of a geometric sequence:
S = a(1 - r^n) / (1 - r) (1 - r)
where an is the first term, r is the common ratio, and n is the total number of terms, S is the sum of the sequence.
We can see that the first term in the series -5, 15, 45, 135 is -5, and the common ratio is 3. (since each term is obtained by multiplying the previous term by 3). The series contains 4 terms, hence n is equal to 4. Adding these values to the formula yields the following results:
S = -5(1 - 3^4) / (1 - 3) (1 - 3)
S = -5(1 - 81) / (-2) (-2)
S = 5(80) (80)
S = 400
The total of the numbers 5, 15, 45, and 135 equals 400.
We may once more use the following formula to determine the sum of the first 10 entries in the same sequence:
S = a(1 - r^n) / (1 - r) (1 - r)
Instead, we will use a = -5, r = 3, and n = 10 this time. By replacing these values, we obtain:
S = -5(1 - 3^10) / (1 - 3) (1 - 3)
S = -5(1 - 59049) / (-2) (-2)
S = 5(59048) (59048)
S = 295240
The result is 295240 for the first 10 terms in the series, which are -5, 15, 45, and 135.
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Guys please help I don’t know how to do this we’re supposed to use the Pythagorean theorem
Answer:
1) x=5, y=5sqrt(2)
2) x=14
3) 7sqrt(2)
Step-by-step explanation:
I will give you a quick lesson.
The formula is a² + b² = c²
The longest line(usually the bottom) is C
If something is squared, multiply it by itself, for example, 6² is 36, multiply 6 by 6(6 x 6).
Do the same thing with a and b.
Then add a and b after you square them.
To make the number smaller, square root it.
Then you will get your answer, don't forget the exponent.
Sorry for not giving you the answer, but I hope this quick lesson helped you, this is how I learned, I hope this makes it easier for you. Have a GOOD DAY!
Find area and perimeter of the following shape. 250°
6 cm 2 cm
The perimeter and the area for each shape are given below.
How to calculate the perimeterFor figure (i) there are 11 small square and area of each small square is 1 sq cm.
Area of the given figure =(11×1)cm =11 cm²
Perimeter of the given figure =(18×1)cm=18 cm
For figure (ii) there are 13 and area of each small square is 1 sq cm.
Area of the given figure =(13×1)cm =13 cm²
Perimeter of the given figure =(28×1)cm=28 cm
For figure (iii) there are 13 and area of each small square is 1 sq cm.
Area of the given figure =(13×1)cm =13 cm²
Perimeter of the given figure =(28×1)cm=28 cm.
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I need help please I am literally crying. Evaluate:
E^8n=1(-2)^n-1=[?]
The value of E is [tex](-2)^{\frac{n-1}{8n} }[/tex].
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
[tex]E^{8n}[/tex] = 1 x [tex](-2)^{n -1}[/tex]
8n root on both sides.
E = [tex]((-2)^{n -1})^\frac{1}{8n}[/tex]
E = [tex](-2)^{(n-1)\times\frac{1}{8n}}[/tex]
E = [tex](-2)^{\frac{n-1}{8n} }[/tex]
Thus,
E = [tex](-2)^{\frac{n-1}{8n} }[/tex].
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What is the conversion of 4 degrees c to f ?
The converted value of degrees Celsius to Fahrenheit which needs to convert 4 degrees Celsius equals to 39.2 degree Fahrenheit.
Temperature measurement is done with the help of the standard units which is known as Celsius and Fahrenheit .Scale factor which defines the relation between Celsius and Fahrenheit is equal to :
(°C × 9/5) + 32 =°F
Now , to get the value of 4 degree Celsius and convert into Fahrenheit apply the above formula we have,
(4°Celsius × 9/5) + 32
= ( 36 / 5 ) + 32
= ( 7.2 ) + 32
= 39.2°Fahrenheit
Therefore, the converted value from degrees Celsius to Fahrenheit for the given temperature 4 degrees Celsius is equivalent to 39.2 Fahrenheit.
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Its in the form of a picture
Answer:
Below
Step-by-step explanation:
See image.....the perpendicular slope was calculated incorrectly ....
help me plsssssssssssssssssss
Answer:
Angle 5 is 105 degrees.
Step-by-step explanation:
[tex]180-75[/tex]
[tex]105[/tex]
How many more hours did Bryce practice piano than guitar? If there is no whole number, place a 0 in the box. (Rest of question is in image)
The total time of the guitar session will be 7¹/₂ hours.
What is a scatter plot?A scatter plot is a plot mathematical chart or graph that depicts the relationships by the use of dots and shows the two numeric variables.
The dots are positioned on each horizontal and vertical value for an individual. They are used for observing the relationship between the variables. The graph shows are positive but nonlinear association.
The total time will be calculated as:-
T = ( 3) x ( 1 / 4 ) + (4) x (1 / 2 ) + ( 5 ) x ( 3 / 4 ) + 1
T = 3/4 + 4 / 2 + 15 / 4 + 1
T = 3 / 4 + 2 + 15 / 4 + 1
T = 18 / 4 + 3
T = 15 / 2
T = 7¹/₂ hours.
Therefore, the total time will be 7¹/₂ hours.
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Find the value of x please
The value of x in the figure is 5
How to determine the value of xFrom the question, we have the following parameters that can be used in our computation:
The double triangles
On the figure, we have
RN = NP
This means that
12x = 60
Divide by 12
12x/12 = 60/12
Simplifying the left side by canceling out the 12s, we get:
x = 5
Hence, the solution to the value of x is x = 5.
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List three sides to a right triangle. Explain how you can use the Pythagorean theorem to know that your three sides will create a right triangle.
300 words or more.
Answer:
Step-by-step explanation: (This is to show the equation of the Pythagorean Theorem.)
Remember the Pythagorean theorem is A^2 + B^2 = C^2. To find out a part of a right triangle using the Pythagorean theorem, you would find either A, B, or C. As an example, let us say that A is equal to 10, and B is equal to 8. How we find C^2, is we add A and B, but we square both numbers.
(10^2) + (8^2) = (C^2). We square 10 by itself, and we get 100 as our A. We also square 8 by itself as well, and we get 64 as our B. C does not have any number representing the variable, so we leave it as it is. 100 + 64 = 164 for C. We have to square root 164, since we're using exponents. (Please note that all my equations won't be a complete whole number, I'm using random numbers to show.) To find B or A, we find this equation. Let us keep our own variable, but C is equal to 15. To find B, we make the equation (10^2) + (B^2) = (15^2) or (A^2) + (8^2) = (15^2). To find B, We square 10 by itself to get 100, like from the last equation, but B doesn't have any number for the variable, so we keep it the same. We square 15 to get 225. After we get our 2 numbers, we subtract {100 + (B^2) = 225} ->
{(100 - 100) + (B^2) = (225 - 100)} -> {B^2 = 125}. We square root 125 to get our answer.
To find A, A doesn't have any number to fill in for the variable, We square 8 to get 64. We square 15 to get 225. After we get our 2 numbers, we subtract {(A^2) + 64 = 225} -> {A^2 + (64 - 64) = (225 - 64)} -> {B^2 = 161}. We square root 161 to get our answer. For the 3 sides: A and B, near the right triangle are both the "legs" of the triangle, while the slant of the triangle (C), is the hypotenuse.
In which of Tuckman's Group Development Stages are members socially cautious and overly polite? a. adjourning b. forming c. performing d. norming
The stage in Tuckman's Group Development Model in which members are socially cautious and overly polite is the Forming stage. thus option B is the answer.
Tuckman's Group Development Model is a structure for understanding the various stages that gatherings go through as they structure, create, and ultimately disband. The model incorporates four principal stages: forming, storming, norming, and performing with a potential fifth phase of dismissing. The framing stage is portrayed by individuals getting to know one another, being considerate, and attempting to lay out a feeling of direction for the gathering. They might be questionable about the gathering's objectives, jobs, and methodology. As the gathering advances through the stages, they will turn out to be more OK with one another and lay out a feeling of trust and union, prompting better execution.
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