Answer:
100°
Step-by-step explanation:
the angles are vertical, so they are equal.
Answer:
100°
Step-by-step explanation:
five less than twice a number is greater than ten times a number
Answer:
2x - 5 > 10x
Step-by-step explanation:
Hope This Helps!
Plz mark Brainliest!
Please answer the question below..
The value of x that makes the unshaded area equal to the shaded area is 7.07 inches.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The area of big sector = (60/360) * π(10)² = (50π /3) cm²
Area of small sector = (60/360) * π(x)² = (x²π /6) cm²
Unshaded area = (x²π /6) cm²
Shaded area = (50π /3) - (x²π /6) = (100π - x²π) /6
Shaded area = unshaded area
(100π - x²π) /6 = (x²π /6) cm²
x = 7.07
The value of x that makes the unshaded area equal to the shaded area is 7.07 inches.
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The length of x in the sector is 7.08 cm.
How to find area of a sector?area of a sector = ∅ / 360 × πr²
where
r = radiusTherefore,
area of a sector = 60 / 360 × π × 10²
area of a sector = 60 / 360 × π × 100
area of a sector = 6000 / 360 π
Hence,
area of the unshaded portion = 6000 / 360 π ÷ 2 = 6000π / 720 = 26.1666666667 = 26.2 cm
Hence,
26.2 = 60 / 360 × 3.14 × x²
x² = 26.2 / 0.52333333333
x = √50.0637261552
x = 7.07557064836
x = 7.08 cm
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I need help please!!
Answer:
Each additional cup is 1 centimeter.
Step-by-step explanation:
We know this because we can see the height on the graph. For each number of cups increased (y-axis), 1 centimeter in height increases as well.
Therefore, we can say that each additional cup is 1 centimeter.
what is the value of u
The value of u = 56.78 degree
What is the value of angle?Any triangle's three angles sum up to 180 degrees when added together. Therefore, the sum of angles A, B, and C is 180 degrees. Any triangle in the field of geometry has this property. This concept can be used to determine the measure of an angle or angles in which the degree measure is absent or not provided.
A, B, and C is 180 degrees
in a triangle <u- 40 degree <u+50 degree so <u is
<u- 40 degree
<u+50 degree
so
<u =
(u - 40 ) + (u+50 ) + u = 180
3u - (170.3) =180
u = 170.3/3 = 56.78.
The value of u = 56.78 degree
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g 5. Measurements of the length in centimeters of a sample of 29 fish yielded an average length of 16.82 and variance 34.9. Determine the size of a new sample so that the true mean length is estimated with the margin of error of 0.5 centimeters with 95% confidence.
A new sample size of at least 537 fish to estimate the true mean length with a margin of error of 0.5 centimeters and 95% confidence.
To determine the size of a new sample so that the true mean length is estimated with a margin of error of 0.5 centimeters with 95% confidence, we need to find the standard error of the mean and use it in the formula for the margin of error.
The formula for the margin of error is: ME = z * (σ/√n)
where z is the z-score corresponding to the desired confidence level, σ is the standard deviation of the population, and n is the sample size.
We can estimate the standard deviation of the population using the sample variance, which is given as 34.9.
The standard deviation is the square root of the variance, so σ = √34.9
= 5.91.
To find the standard error of the mean, we divide the standard deviation by the square root of the sample size:
SEM = σ/√n
= 5.91/√n We want the margin of error to be 0.5 centimeters, so we can set up the equation:
0.5 = z * (5.91/√n)
To solve for n, we need to know the value of z for a 95% confidence level.
This corresponds to a z-score of 1.96. Substituting this into the equation gives: 0.5 = 1.96 * (5.91/√n)
Simplifying and solving for n gives: √n = 1.96 * (5.91/0.5) √n
n =(23.18)
n = 537
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Given
f
(
x
)
=
−
x
−
2
f(x)=−x−2, find
f
(
−
6
)
f(−6).
Answer:
\(\boxed{\tt \: f( - 6) = 4}\)
Step-by-step explanation:
Given polynomial :-
\( \sf \: f(x) = - x - 2\)
To Find :-
\( \sf \: f( - 6)\)
Solution :-
\(\sf \implies \: f(x) = - x - 2\)
\(\underline{ \rm \: Substitute \: the \: value \: of \: x \: that \: is \: 6 \: i nstead \: of \: x \: on \: the \: LHS \: and \: RHS \: of \: the \: given \: equation :-}\)
That is ,
\(\sf \implies \: f( - 6) = - ( - 6) - 2\)
\(\underline{ \rm \: Simplify \: the \: RHS \: on \: t he \: given \: equation :-}\)
As we know that "-" and "-" equals to "+". So "-(-6)" would be represented as +6 (6).
\(\sf \implies \: f( - 6) = + 6 - 2\)
Subtract 6 and 2 :-
\(\sf \implies \: f( - 6) = 6 - 2\)
\(\sf \implies \: f( - 6) = 4\)
This can't be simplified more . Hence ,
\( \rm \: The \: value \: of \: f(-6) \: would \: be \: \boxed{ \bf 4} \rm .\)
\( \rule{175pt}{2pt}\)
I hope this helps!
Solve-3(z-6) ≥ 2z-2 for z
Answer: Z<4
Step-by-step explanation:
Rearrange the equation
-3(z-6) - (2z-2)>0
-3z+18-2z+2>0
-5z +20>0
-5(z-4)>0
divide both side by -5
z-4<0
z<4
Estimate the mean lifetime of a bulb.
Give your answer rounded to 2 DP
?hours
The mean lifetime of a bulb is 31. 57
What is mean?Mean can be defined as the average of a given set of values or elements.
The formula for the mean of a given set of values is expressed as;
Mean = sum of the occurrence of the values/ number of values
Or
Mean = sum of terms/number of terms
From the information given, the frequency of the lifetime of the bulbs were given as;
34, 31, 94, 40 , 0 , 17, 5
The sum of the terms is given as:
= 34 + 31 + 94 + 40 + 0 + 17 + 5
= 221
The number of terms = 7
Substitute into the formula
Mean = 221/ 7
Mean = 31. 571
In 2 decimal place
Mean = 31. 57
Thus, the mean lifetime of a bulb is 31. 57
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Perimeter is 25 cm, find x 10 8.2 cm
Graph the line on the coordinate plane provided:
*** (don't forget to SHOW any neccesary WORK!)***
y = -31 - 2
Which number should be added to
both sides of this quadratic equation
to complete the square?
(-3/2)² + 1 = x² − 3x + (-3/2)²
Answer:
9/4
Step-by-step explanation:
You want to know the value required to complete the square in the equation 1 = x² -3x.
PictureYour picture shows the required value: (-3/2)² = 9/4.
<95141404393>
Calculate the circumference of a circle whose radius is 7.2 Cm (Idek I just woke up lol)
What is the slope of this graph?
Answer:
the slope is -1/3
Step-by-step explanation:
The Point class represents x,y coordinates in a Cartesian plane. Which line of code appears completes this operator which transforms a Point by dx and dy? (Members written inline for this problem.) class Point { int x_{0}, y_{0};public: Point(int x, int y): x_{x}, y_{y} {} int x() const { return x_; } int y() const { return y_; }};Point operator+(int dx, int dy) { return _________________________;}
The correct line of code that completes this operator which transforms a Point by dx and dy is shown below: Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Note that the function operator+ takes two arguments: an integer dx and an integer dy.
The function returns a point, which is created by adding dx to x and dy to y.The completed code is shown below:class Point { int x_{0}, y_{0};public: Point(int x, int y): x_{x}, y_{y} {} int x() const { return x_; } int y() const { return y_; }};Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Therefore, the correct answer is: `Point(x_+dx,y_+dy)`
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Q2) For total cost: TC(q)=10−6q+q2 determine: a. the production level (q∗) that minimizes total cost. b. The amount of Total cost for the q∗, in other words TC(q∗) ? (10 pints)
The amount of total cost at q* is 1.
To determine the production level that minimizes total cost, we need to find the value of q (production level) at which the derivative of the total cost function TC(q) is equal to zero. Let's begin by finding the derivative of TC(q):
TC(q) = 10 - 6q + q^2
To find the minimum point, we differentiate TC(q) with respect to q:
d(TC(q))/dq = -6 + 2q
Setting the derivative equal to zero and solving for q:
-6 + 2q = 0
2q = 6
q = 3
So the production level q* that minimizes the total cost is 3.
To find the amount of total cost at q*, we substitute q = 3 into the total cost function TC(q):
TC(q*) = 10 - 6(3) + (3)^2
TC(q*) = 10 - 18 + 9
TC(q*) = 1
Therefore, the amount of total cost at q* is 1.
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please help me and show work on a piece of paper
Let's start with proving that side AB is parallel to side CD
First off, let's find the slope of line AB. So we'll use the slope formula.
\(A = (x_1,y_1) = (2,-1)\\\\B = (x_2,y_2) = (1,3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{3 - (-1)}{1 - 2}\\\\m = \frac{3 + 1}{1 - 2}\\\\m = \frac{4}{-1}\\\\m = -4\\\\\)
The slope of AB is -4.
Now let's find the slope of line CD.
\(C = (x_1,y_1) = (6,5)\\\\D = (x_2,y_2) = (7,1)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{1 - 5}{7 - 6}\\\\m = \frac{-4}{1}\\\\m = -4\\\\\)
The slope of CD is also -4.
Recall that parallel lines always have equal slope (but different y intercepts).
This proves that AB is parallel to CD.
--------------------------
We'll follow the same steps to show that AD is parallel to BC.
Find the slope of AD
\(A = (x_1,y_1) = (2,-1)\\\\D = (x_2,y_2) = (7,1)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{1 - (-1)}{7 - 2}\\\\m = \frac{1 + 1}{7 - 2}\\\\m = \frac{2}{5}\\\\\)
Now find the slope of BC
\(B = (x_1,y_1) = (1,3)\\\\C = (x_2,y_2) = (6,5)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{5 - 3}{6 - 1}\\\\m = \frac{2}{5}\\\\\)
We get 2/5 each time, so these lines are parallel as well.
--------------------------
In short, the first section shows that AB is parallel to CD. The second section proved that AD is parallel to BC.
Because we have two pairs of parallel opposite sides, we can say that ABCD is a parallelogram.
Edit: I have attached the diagram below.
f(x) = -2x - 3
g(x) = x² + 5x
Evaluate:
g(f(3))
Answer:
\(g(f(3)) = 36\)
Step-by-step explanation:
1. Find the value of f(3)
\(f(3) = -2(3) -3 \\f(3) = -6 - 3\\f(3) = -9\)
2. Insert f(3) into g(f(3)), we get g(-9), find g(-9)
\(g(-9) = (-9)^2 + 5(-9)\\g(-9) = 81 -45\\g(-9) = 36\)
Suppose you are about to begin a game of Fibonacci nim. You start with 500 sticks. What is your first move? Why?
So, your first move should be to remove a number of sticks that is less than or equal to 21, but also leaves your opponent with 4 sticks or more. This will set you up for success in the game.
The first few numbers in the Fibonacci sequence are: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, and so on. To determine the number of sticks a player can remove, they look at the previous two numbers in the sequence and add them together. For example, if the previous two numbers were 3 and 5, the player could remove 8 sticks.
To start, we need to find the largest number in the Fibonacci sequence that is less than or equal to 500. Looking at the sequence, we see that 21 is the largest number that fits this criteria. Therefore, on your first move, you can remove up to 21 sticks from the pile.
But should you remove all 21 sticks? Not necessarily. In Fibonacci nim, it is often advantageous to leave your opponent with a certain number of sticks that will force them to make a move that is disadvantageous. One such number is 4. If you can leave your opponent with 4 sticks, they will be forced to remove all 4 and you willbe left with a favorable position.
So, your first move should be to remove a number of sticks that is less than or equal to 21, but also leaves your opponent with 4 sticks or more. This will set you up for success in the game.
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evaluate tan 60/ cos 45
Answer:
0.60922709536
Step-by-step explanation:
not sure if this is what you are looking for????
√6
im putting yall on folks
the weights of steers in a herd are distributed normally. the variance is 40,000 and the mean steer weight is 1100lbs . find the probability that the weight of a randomly selected steer is between 1000 and 1520lbs . round your answer to four decimal places.
The probability that the weight of a randomly selected steer is between 1000 and 1520lbs is approximately 0.9192, or 91.92%.
How the probability is between 1000 and 1520lbs is approximately 0.9192, or 91.92%?We are given the variance of the population as 40,000. The standard deviation is the square root of the variance, so we can calculate it as follows:Standard deviation = sqrt(variance) = sqrt(40,000) = 200
We want to find the probability that a randomly selected steer has a weight between 1000 and 1520lbs. We need to standardize these values using the formula:z = (x - μ) / σ
where z is the standardized value, x is the value of interest, μ is the mean, and σ is the standard deviation.
For x = 1000:
z1 = (1000 - 1100) / 200 = -0.5
For x = 1520:
z2 = (1520 - 1100) / 200 = 2.1
Now that we have the standardized values, we can use a standard normal distribution table or a calculator to find the area under the normal curve between z1 and z2.Using a calculator, we can use the normal cdf function with the z-scores to find the area between z1 and z2:
P(z1 < z < z2) = normal cdf(-0.5, 2.1) ≈ 0.9192
Rounding to four decimal places, we get:
P(1000 < x < 1520) ≈ 0.9192
Therefore, the probability that the weight of a randomly selected steer is between 1000 and 1520lbs is approximately 0.9192, or 91.92%.
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Simplify the following polynomial, then evaluate for x= -2
2x^2 - 4x + 3x^2 + x - 7
Answer:
5 square2 −3 − 7
Step-by-step explanation:
i calculated it all
the most important reason for the use of random allocation of subjects to the different treatments is:
The most important reason for the use of random allocation of subjects to the different treatments is to minimize the effects of confounding variables and ensure that any observed differences between groups are due to the treatment itself and not other factors.
Random allocation of subjects to different treatments is a fundamental principle in experimental research, and it serves several important purposes in ensuring the validity and reliability of study results.
Random allocation of subjects to different treatments is crucial in experimental research as it minimizes the effects of confounding variables, creates comparable groups in terms of baseline characteristics, and enhances the generalizability of the findings.
By doing so, it strengthens the validity, reliability, and overall quality of the study results.
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(Score for Question 1: _____ of 5 points)
1. Find the measure of the side indicated (x). Round to the nearest tenth. Show your work to support your
answer.
B
37
11
х
A
Answer:
Answer:
\(x = 13.8\)
Step-by-step explanation:
Given
See attachment for triangle
Required
Find x
To find y, we make use of the relationship between sides lengths 11 & x and angle 37
The relationship is:
\(cos(37) = \frac{11}{x}\)
i.e.
\(cos(\theta) = \frac{Adjacent}{Hypotenuse}\)
Make x the subject
\(x = \frac{11}{cos(37)}\)
\(x = \frac{11}{0.7986}\)
\(x = 13.7741\)
\(x = 13.8\) -- approximated
What is the transitive Theorem?
The transitive theorem is a property of equality that states that if a = b and b = c, then a = c.
This theorem is often used in mathematics to prove equalities between different quantities. For example, if we know that x + y = z and z + a = b, we can use the transitive theorem to conclude that x + y + a = b.
The transitive theorem is based on the idea of transitive relations, which are relationships that hold between three elements in a given set, regardless of their specific values. Equality is a transitive relation because if a is equal to b, and b is equal to c, then a must also be equal to c.
The transitive theorem is an important concept in mathematics and is used in many different contexts, including algebra, geometry, and more. It is a useful tool for proving equalities and can help us solve problems and make deductions about different quantities.
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the diagram below shows a square-based pyramid
The solution is, 52 ft is the perimeter of the base of the pyramid.
Here, we have,
Given that:
We have an pyramid with square base.
Area of base of the square pyramid = 169
To find:
Perimeter of the base of pyramid = ?
Solution:
First of all, let us have a look at the formula of area of a square shape.
Area = side * side
Let the side be equal to ft.
Putting the given values in the formula:
169 = a^2
so, a = 13 ft
Now, let us have a look at the formula for perimeter of square.
Perimeter of a square shape = 4 Side
Perimeter = 4 * 13 = 52ft
The solution is, 52 ft is the perimeter of the base of the pyramid.
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complete question:
A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid? A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid?
Which pair of angles are alternate interior angles?
- Angle 1 and 8
- Angle 1 and 7
- Angle 2 and 7
- Angle 3 and 6
In this case, the pair of alternate interior angles would be angle 2 and 7.
What is angle?Angle is a geometric object which is defined by two rays with a common endpoint. It is typically measured in degrees or radians and is used to measure the size of an angle. Angles play a key role in mathematics, being used in trigonometry, calculus, and geometry. Angles are also used in engineering and construction to ensure that components are built properly. In addition, angles are used to measure the direction of objects in the sky, such as stars and planets.
Alternate interior angles are two angles located on opposite sides of a transversal line, but within the same parallel lines. In this case, the pair of alternate interior angles would be angle 2 and 7. These two angles are located on opposite sides of the transversal line, between the two parallel lines.
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Part D: HLA-RELA Understand solving equations #$ process of reasoning and eplain the reasoning based on rational functions: This summer, 450 players, including 30 who received scholarships- attend Coach Drummond'= summcr lacrosse camp Next summer; the fixed cost is projected t0 increase to S1S,700 , and the cost for meals and snacks projected to Inctese 525 per player. Coach Drummond would like keep the price per player the same as this summer. She anticipales that least 450 players will attend next summer. Write recommendation Coach Drummond that analyzes the number of players she ill need to attend her camp next summer; the price per player, and the number of scholarships that she should offer. Provide evidence to support your answer.
Using linear equations, Coach Drummond should charge $432 per player and offer 153 scholarships to keep the price per player the same as this summer.
What is a linear equation?A linear equation is an algebraic equation that can be written in the form "ax + b = c", where "x" is the variable, "a" is the coefficient of the variable, "b" is a constant term, and "c" is another constant term. This form is called the standard form of a linear equation.
Now,
To solve this problem, we need to set up an equation that relates the total cost of running the camp to the number of players attending and the number of scholarships offered.
Let's let x be the number of scholarships offered and y be the price per player.
The total cost of running the camp is the fixed cost plus the variable cost per player, which is the cost for meals and snacks times the number of players attending. Using the given information, we can write:
Total cost = $15,700 + $525(450 - x)
On the revenue side, we have the total amount of money received from player fees and scholarships. The total number of players attending the camp is 450, including the 30 who received scholarships. So, the number of players who will pay the full price is 450 - x + 30. Multiplying this by the price per player, y, we get the total revenue:
Total revenue = y(450 - x + 30)
To keep the price per player the same as this summer, we set the total revenue equal to the total cost and solve for y:
y(450 - x + 30) = $15,700 + $525(450 - x)
Simplifying and solving for y, we get:
y = ($15,700 + $525(450 - x)) / (450 - x + 30)
Now we can analyze this equation to determine the number of players Coach Drummond will need to attend her camp next summer, the price per player, and the number of scholarships she should offer.
First, note that y is a rational function of x, which means that as x varies, y will also vary. In particular, y will increase as x decreases, which makes intuitive sense: if Coach Drummond offers more scholarships, she will need to charge a higher price per player to cover the fixed and variable costs.
To determine the number of players Coach Drummond will need to attend her camp next summer, we can set y equal to the price per player she charged this summer and solve for x:
y = $420 = ($15,700 + $525(450 - x)) / (450 - x + 30)
Multiplying both sides by 450 - x + 30 and simplifying, we get:
-105x + 16050 = 0
Solving for x, we get:
x = 153
This means that Coach Drummond should offer 153 scholarships next summer in order to keep the price per player the same as this summer.
To determine the price per player and the number of scholarships she should offer, we can plug x = 153 into the equation for y:
y = ($15,700 + $525(450 - 153)) / (450 - 153 + 30) = $432
So, Coach Drummond should charge $432 per player and offer 153 scholarships to keep the price per player the same as this summer.
To provide evidence to support this answer, we can check that the total revenue and total cost are equal at these values:
Total revenue = $432(450 - 153 + 30) = $202,896
Total cost = $15,700 + $525(450 - 153) = $202,896
Thus, Coach Drummond will break even if she charges $432 per player and offers 153 scholarships.
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what is one halve times four times five
Answer:
10
Step-by-step explanation:
what is the mean of 40 100 25 90 85 95
Mean is also known as an average value amoung a set of data points, results, and tests.
Mathematically, mean ( average ) is defined as a weighted sum of data points. This can be expressed in a symbolic form as follows:
\(\text{Mean = }\sum ^N_{n\mathop=1}(\frac{x_n}{N})\)Where,
\(\begin{gathered} x_n\colon\text{ The set of data points and type of data} \\ N\colon\text{ The total number of data-points} \end{gathered}\)We are given with the following set of data points:
\(x_1=40,x_2=100,x_3=25,x_4=90,x_5=85,x_6\text{ = 95}\)And we have a total of:
\(N\text{ = 6 data points }\)We will go ahead and plug in the respective values given into the formula for determining the mean value as follows:
\(\text{Mean = }\frac{x_{1\text{ }}+x_2+x_3+x_4+x_5+x_6}{N}\)Plug in the respective data points as follows:
\(\text{Mean = }\frac{40\text{ + 100 + 25 + 90 + 85 + 95}}{6}\)Evaluate as follows:
\(\begin{gathered} \text{Mean = }\frac{435}{6} \\ \text{\textcolor{#FF7968}{Mean = }}\textcolor{#FF7968}{72.5} \end{gathered}\)The mean ( average ) value for the given set of data points is:
\(\textcolor{#FF7968}{72.5}\)Kimberly needs $45 to go to the amusement park. She has $13. She earns $8 per hour working at her job. The equation 8h + 13 = 45 shows this relationship. How many hours does Kimberly need to work to earn enough money to go to the park?
Answer:
Step-by-step explanation:
Given equation is 8h + 13 = 45
Where h is number of hour
So 8h=45-13
8h =32
h= 4 hour is the answer