In a normal distribution, approximately 68% of the scores fall within one standard deviation of the mean, and approximately 95% of the scores fall within two standard deviations of the mean.
IQ scores are often distributed in a bell-shaped curve, which is known as the normal distribution.
In a normal distribution, the mean is the center of the curve and the standard deviation is a measure of how spread out the scores are. In most IQ tests, the average score is 100 and the standard deviation is 15. If a score is 2 standard deviations above the average, it falls in the upper 2.5% of all scores.
This is because the normal distribution is symmetric, which means that the same percentage of scores falls above and below the average. In this case, if you took an IQ test and your score was 2 standard deviations above average, your score would be higher than approximately 97.5% of all IQ test takers, which is a relatively rare score.
However, it's important to note that IQ tests have many limitations and not all IQ tests have the same mean and standard deviation.
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Grandpa has a bag of coins. The bag contains 5 silver dollars,6quarters,2dimes and 2 nickels.He is going to let his graduator randomly select and keep 2 coins from the bag one at a time without replacement. What. Is the probability that she will select a silver filler both times.
Binita is going to buy 450 envelopes.
Here is some information about the cost of envelopes in two shops.
Value World
Letters2go
Pack of 25 envelopes for £3. 29
Pack of 10 envelopes for £1. 95
Buy 2 packs get 1 pack free
How much less, in pounds (£), will it cost Binita to buy
the envelopes from Value World?
Answer please!
450 envelopes if Binita decides to purchase them. Binita will have to pay 0.72 pounds (£) in order to purchase the envelopes from Value World.
Calculating the cost of value in the world is the second step.
Cost = 450 / 25 × 3.29
Cost = 59.22
The second step is to calculate the cost of value world
Cost = 450 /30 × (1.95 ×2)
Cost = 58.50
Let's now determine how much it would cost to purchase envelopes from Value World.
Cost = 59.22 - 58.50
Cost = 0.72 pounds
As a result, the price is 0.72 pounds.
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From the top of a 120 foot-high tower, an air traffic controller observes an airplane on the runway at an angle of depression of 19°. How far from the base of the tower is the airplane? Round to the nearest foot. (the ? is your x)
The airplane is 368.6 feet from the base of the tower
as the details stated above,
the angle of elevation from his line of sight is 19 degrees
the air traffic controller observer is located at the top of a building of height is 120 feet
let the distance from the plane and the tower be x
to find the value of the distance we have to use the sine rule or sine function.
sin A = opposite side of the triangle by the hypotenuse side of the triangle
where A is 19 degrees
the opposite side is the observer located at a distance of 120 feet
therefore,
sin 19 = 120/x
=> 120 / sin 19 = x
=> x = 368.6 feet
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1
Two lines intersect at the point (2,-5). The lines cross the y-axis at
(0, 1) and (0, -6).
a. Graph the system.
b. What are the equations of the lines?
c. Check that (2,-5) is the solution of the system of equations you
wrote in problem 2b.
a. Graph the system:
The two lines will intersect at the point (2,-5). The first line will cross the y-axis at (0, 1), and the second line will cross the y-axis at (0, -6). The lines will be in different slope-intercept form.
What exactly is a math graph?
In mathematics, "graph" can refer to (at least) two different things. In elementary mathematics, the term "graph" designates a plot or a function graph. A graph is, in the language of mathematicians, a set of points and the connections between some subset of those points (which may be empty).
b. What are the equations of the lines:
To find the equations of the lines, we can use the point-slope form of a line: y - y1 = m(x - x1)
Given the point (0,1) on the first line, the slope of the first line is m = (y2 - y1) / (x2 - x1) = (-5 - 1) / (2 - 0) = -3
so the equation of the first line is y = -3x + 1
Given the point (0,-6) on the second line, the slope of the second line is m = (y2 - y1) / (x2 - x1) = (-5 - (-6)) / (2 - 0) = 1/2
so the equation of the second line is y = 1/2x - 6
c. Check that (2,-5) is the solution of the system of equations you wrote in problem 2b.
To check that (2,-5) is the solution of the system of equations we need to substitute x=2 and y=-5 in both equations
for the first equation:
-5 = -3*2 + 1 = -6 + 1 = -5
for the second equation
-5 = 1/2*2 - 6 = 1 - 6 = -5
as we can see that both equation are true for x=2 and y=-5 so the point (2,-5) is the solution of the system of equations.
The graph will be two lines crossing each other at point (2,-5) and both lines crossing the y-axis at different points (0,1) and (0,-6) respectively.
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Meg bought a season pass at Elk Mountain Ski Resort to access the ski slopes, and she plans
to rent her equipment from the resort each day she skis. The total amount Meg will pay by
the end of the season depends on how many days she skis.
This situation can be modeled as a linear relationship.
In order to rent her equipment from the resort each day she skis, she needs at least six days before the end of the season.
what is linear equation ?A linear equation is one that satisfies the algebraic formula y=mx+b. The foregoing sentence is sometimes referred to as a "linear equation with two variables" because y and x are variables. Bivariate linear equations are two-variable linear equations. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. An equation is said to be linear if its formula is y=mx+b, where m denotes the slope and b the y-intercept. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.
given
Skiing day pass price in dollars is equal to 68d plus 20d.
When is a season pass less expensive (cost of skiing season pass = 400 + 20d)
400 + 20d minus three 20d = 68d + 20d
Divide 400 by 68 to get d = 5.882352941 when 68d > 400.
In order to rent her equipment from the resort each day she skis, she needs at least six days before the end of the season.
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This expression gives the solutions to which quadratic equation?
A. 3x^2+4=x
B.x^2+4=3x
C.x^2+4=-3x
D.4x^2+3=x
E. 3x^2+4=-x
This expression gives the solutions to quadratic equationx^2+4=3x.
What is quadratic equation?A quadratic equation is an equation of the form ax^2 + bx + c = 0, where a, b, and c are constants and x is an unknown variable. It is most commonly used to solve for the unknown variable in terms of the given constants. The solutions to a quadratic equation can be found using the quadratic formula.
This equation is a quadratic equation, which is an equation that can be expressed in the form ax2 + bx + c = 0, where a, b and c are constants and x is an unknown variable. In this case, a = 1, b = 4 and c = 0, so the equation can be written as x2 + 4x = 0. Solving this equation gives the solutions x = 0 and x = -4.
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Air pressure may be represented as a function of height above the surface of the Earth as shown below. P(h)=Poe^(-0.0012h) In this function, P0 is air pressure at the surface of the earth, and h is the height above the surface of the earth, measured in meters. at what height will the air pressure equal 65% of the air pressure at the surface of the earth
The height at which the air pressure equals 65% of the air pressure at the surface of the earth is -ln(0.65P0)/0.0012 meters.
What is equation?An equation is a mathematical statement that shows the equality of two expressions. It can be written in a variety of forms, including an equation with an equals sign, an inequality with a greater than or less than sign, or a system of equations with multiple variables. Equations can be used to solve problems, model real-world scenarios, and explore relationships between different quantities.
To solve this problem, we can rearrange the equation to find the height h, given the pressure P. The rearranged equation is h=-ln(P/P0)/0.0012. Substituting 65% of the surface pressure for P, we get h=-ln(0.65P0)/0.0012. Therefore, the height at which the air pressure equals 65% of the air pressure at the surface of the earth is -ln(0.65P0)/0.0012 meters.
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What are the solutions of the equation x4 5x2 36 0 use factoring to solve?
The factor of the given expression [tex]x^4-5x^2-36=0[/tex] is -2i, 2i, -9 and 9.
In the given question, we have to find the solutions of the equation [tex]x^4-5x^2-36=0[/tex] using factoring to solve.
The given polynomial is [tex]x^4-5x^2-36=0[/tex].
We can write this expression as
[tex](x^2)^2-5x^2-36=0[/tex]
The multiplication of first and third term is 36 and the middle term is 5. So the possible factors are 4 and 9.
So the factor of the given expression is
[tex](x^2)^2-(9-4)x^2-36=0[/tex]
[tex](x^2)^2-9x^2+4x^2-36=0[/tex]
Now taking the common
[tex]x^2(x^2-9)+4(x^2-9)=0[/tex]
[tex](x^2+4)(x^2-9)=0[/tex]
Now taking the factor equal to zero.
[tex]x^2+4=0[/tex]
Subtract 4 on both side, we get
[tex]x^2 = -4[/tex]
Now taking the square root on both side, we get
[tex]x = -2i,+2i[/tex]
The second factor is
[tex]x^2-9=0[/tex]
Add 9 on both side, we get
[tex]x^2=9[/tex]
Taking square root on both side, we get
[tex]x = 9,-9[/tex]
Now the factor of the given expression [tex]x^4-5x^2-36=0[/tex] is -2i, 2i, -9 and 9.
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W
W
W
W
25
1. Write an equation representing this hanger. 4w=25
2. Find the weight of each circle. Show or explain how you found it.
Each circle has a weight of 6.25.
What is circle?A circle is a shape consisting of all points in a plane that are a given distance from a given point, the center. The distance from the center to any point on the circle is known as the radius. A circle has no sides or corners, and all points along the circle are equidistant from the center.
The weight of each circle can be found by dividing 25 (the total weight) by 4 (the number of circles). Therefore, each circle has a weight of 6.25.
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Select the correct answer from each drop-down menu. What is the distance and midpoint between points F and G? A number line ranges from negative 4 to 6. Points F and G are plotted on the number line at minus 3 and 1.6. distance = midpoint =
The distance between F and G is 4.6
The midpoint between F and G is -0.7.
What is a number line?It is the representation of numbers in real order.
The difference between the consecutive numbers in a number line is always positive.
We have,
Point F is at -3.
Point G is at 1.6.
Now,
The distance between F and G.
= 1.6 - (-3)
= 1.6 + 3
= 4.6
Now,
The midpoint between F and G.
There are 4.6 points between F and G.
So,
4.6/2 = 2.3
Midpoint.
=-3 + 2.3
= -0.7
Thus,
The distance is 4.6
The midpoint is -0.7.
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Is negative 1 a real number?
The two prism below are similar. What is the value of x?
Answer:
[tex]x = 4[/tex]
Step-by-step explanation:
Since the two prisms are similar, the ratios of each of the sides of the larger prism to the corresponding sides of the smaller prism must be the same
[tex]\dfrac{16}{4} = \dfrac{24}{6} = \dfrac{x}{1} = 4[/tex]
So each side of the larger prism is 4 times the corresponding side of the smaller prism
[tex]\dfrac{x}{1} = 4\\\\x = 4[/tex]
Which of the following can be the sides of a right triangle a 8 cm 15 cm 17 cm B 3 cm 3 cm 9 cm C 2.5 cm 6.5 cm 6 cm d 16 cm 30 cm 34 cm?
The Pythagorean theorem states that the sum of the squares of the sides of a right triangle is equal to the square of the hypotenuse.
This means that for a right triangle, the side lengths must satisfy the equation a^2 + b^2 = c^2, where a, b, and c are the three sides.
For example, in option a, the sides 8 cm, 15 cm and 17 cm can form a right triangle. We can calculate the equation to see if it satisfies the Pythagorean theorem: 82 + 152 = 272 and 172 = 289. Since 272 = 289, the equation is true, and the three sides can form a right triangle.
For option b, the sides 3 cm, 3 cm and 9 cm cannot form a right triangle. We can calculate the equation to see if it satisfies the Pythagorean theorem: 32 + 32 = 9 and 92 = 81. Since 9 ≠ 81, the equation is false, and the three sides cannot form a right triangle.
For option c, the sides 2.5 cm, 6.5 cm and 6 cm can form a right triangle. We can calculate the equation to see if it satisfies the Pythagorean theorem: (2.5)2 + (6.5)2 = 36.25 and 62 = 36. Since 36.25 = 36, the equation is true, and the three sides can form a right triangle.
For option d, the sides 16 cm, 30 cm and 34 cm can form a right triangle. We can calculate the equation to see if it satisfies the Pythagorean theorem: 162 + 302 = 576 and 342 = 1156. Since 576 = 1156, the equation is true, and the three sides can form a right triangle.
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a large pipe and a small pipe are both being used to fill a swimming pool. if the large one can fill it in 6 hours and the small one can do it in 10 hours, how long does it take if they are both working together?
The combined rate of the two pipes is 8/30 of the pool per hour.
To find the time it takes for both pipes to fill the pool together, we can use the formula for finding the combined rate of two processes.
Let's call the rate of the large pipe L and the rate of the small pipe S. We know that L can fill the pool in 6 hours and S can fill the pool in 10 hours, so we can set up the following equations:
L = 1/6
S = 1/10
The combined rate of the two pipes is simply the sum of the individual rates:
L + S = 1/6 + 1/10
We can simplify this expression by finding a common denominator:
L + S = (5/30) + (3/30) = 8/30
So, the combined rate of the two pipes is 8/30 of the pool per hour. To find the time it takes for both pipes to fill the pool together, we can use the formula:
Time = Pool size / Combined rate
Since we do not have the pool size, we cannot determine the exact time it takes. However, we can see that the combined rate is greater than either of the individual rates, so it would take less time for both pipes to fill the pool together than for either one alone.
Therefore, The combined rate of the two pipes is 8/30 of the pool per hour.
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The combined rate of the two pipes is 8/30 of the pool per hour.
To find the time it takes for both pipes to fill the pool together, we can use the formula for finding the combined rate of the two processes.
Let's call the rate of the large pipe L and the rate of the small pipe S. We know that L can fill the pool in 6 hours and S can fill the pool in 10 hours, so we can set up the following equations:
L = 1/6
S = 1/10
The combined rate of the two pipes is simply the sum of the individual rates:
L + S = 1/6 + 1/10
We can simplify this expression by finding a common denominator:
L + S = (5/30) + (3/30) = 8/30
So, the combined rate of the two pipes is 8/30 of the pool per hour. To find the time it takes for both pipes to fill the pool together, we can use the formula:
Time = Pool size / Combined rate
Since we do not have the pool size, we cannot determine the exact time it takes. However, we can see that the combined rate is greater than either of the individual rates, so it would take less time for both pipes to fill the pool together than for either one alone.
Therefore, The combined rate of the two pipes is 8/30 of the pool per hour.
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What is the average speed of the car if it covers 200 km in 5 h ?`?
It would take a car 5 hours to cover 200 km at a speed of 40 km/h.
The car moves for a time period of 5 hours.
The car has to travel a total distance of 200 km.
As we know the formula of speed is distance/time,
Hence, s = d/t km/hr
Let speed, distance and time be s, d, t respectively.
So by putting the values,
speed s = 200/5 = 40 km/hr.
Hence it can be said that the car would cover 200 km at the speed of 40 km/hr in 5 hours.
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Every pupil in a class either swims or dances.
Three fifths of the class swim and three fifths dance.
Five pupils both swim and dance.
How many pupils are in the class?
The total number of pupils in the class will be 25.
Solution can be found with a simple calculation.
In the question, it has been given that,
Three fifths of the class swim.Three fifths of the class dance.Five pupils both swim and dance.In order to find how many pupils are there in the class ( the total )
Calculate by assuming the unknown quantity as a character
Let total number of pupils be 'p'
So,
No. of pupil that swim = (3/5)p
= 3p/5
No. of pupil that dance = (3/5)p
= 3p/5
5 pupils do both swim and dance.
Since both the counting include these 5 pupils, we will take the 5 away. Thus subtracting the 5
The equation will be,
3p/5 + 3p/5 - 5 = p
6p/5 - 5 = p
6p - 25 = 5p
6p - 5p = 25
p = 25
Hence, the total number of pupils in the class is 25.
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Find the area of this circle. Use 3 for pi
The area of this circle is equal to 363 cm².
How to calculate the area of a circle?In Mathematics and Geometry, the area of a circle can be calculated by using this formula:
Area = πr²
Where:
r represents the radius of a circle.
Note: Radius = diameter/2 = 22/2 = 11 centimeters.
By substituting the radius into the formula for the area of a circle, we have the following;
Area of circle = 3 × 11²
Area of circle = 363 square centimeters.
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Answer:
Area of circle = 363 cm²
Step-by-step explanation:
Given dimensions,
→ Diameter = 22 cm
→ Radius = 22/2 = 11 cm
Now we have to,
→ Find the area of the given circle.
Formula we use,
→ Area of circle = πr²
The given value of π is,
→ π = 3
Then the area of circle will be,
→ A = πr²
→ A = 3 × (11)²
→ A = 3 × 121
→ A = 363 cm²
Hence, the area is 363 cm².
Determine the exact surface area of the cylinder in terms of π.
cylinder with radius labeled 1 and one fourth centimeters and a height labeled 2 and three fourths centimeters
6 and 9 over 16 times pi square centimeters
10 times pi square centimeters
15 and 15 over 16 times pi square centimeters
19 and three eighths times pi square centimeters
Answer:
Surface area = 31.42
Step-by-step explanation:
A=2πrh+2πr²=2·π·1.25·2.75+2·π·1.25²≈31.41593
how much inventory do christmas tree sales lots keep? a researcher goes from location to location around the city counting the number of trees in each lot. these numbers most likely represent what level of data?
The answer is Ratio level. A researcher goes from location to location around the city counting the number of trees in each lot. these numbers most likely represent ratio level of data.
Ratio level is the highest of the four hierarchical levels of measurement. Measurement levels or scales indicate how accurately data is recorded. The higher the level, the more complex the measurement.
The coefficient level contains all functionalities of the other 3 levels. At the ratio level, values can be categorised, ordered, have equal intervals and take on a true zero.
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twenty percent of the shoes in a factory are black. one shoe is chosen and replaced. a second shoe is chosen and replaced. and then a third shoe is chosen. what is the probability that none of the shoes are black?
helppp
The probability that none of the shoes are black is 51.2%.
What is probability?Probability is a way to gauge how likely something is to happen. According to the probability formula, the likelihood that an event will occur is equal to the proportion of positive outcomes to all outcomes. The probability that an event will occur P(E) is equal to the ratio of favorable outcomes to total outcomes.
Given twenty percent of the shoes in a factory are black,
probability of black shoes = 0.2
probability of not getting a black shoe = 1 - 0.2
probability of not getting a black shoe = 0.8
shoes selected three times and each time the shoe is replaced,
probability for each time is 0.8
for three times = 0.8 x 0.8 x 0.8
total probability = 0.512
probability in percent = 0.512 x 100 = 51.2%
Hence the probability is 51.2%
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Why is K used for Y KX?
y = kx, where k is the variational constant
We just refer to "k" as a dummy variable. It doesn't really matter whatever variable you choose for this kind of generic form as long as you declare that "k" or "z" or "c" is a constant with precise constraints as necessary. By dividing the y-coordinate by the x-coordinate, we can calculate k when given any position because it is constant (the same for every point). For direct variation, we employ the following equation. y=kx The proportionality constant in this case is k. It will be an integer that connects the two variables. So we can say that K is constant of variation.
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Select the correct answer. Simon used these steps to solve an equation: Step 1: -6(x + 7) = 2(x − 11) Step 2: -6x − 42 = 2x − 22 Step 3: -8x − 42 = -22 Step 4: -8x = 20 Which property did he use to get from step 3 to step 4? A. addition property of equality B. distributive property C. subtraction property of equality D. transitive property
From the steps, Simon used in solving the equation, the property he applied to get to step 4 from step 3 is: A. addition property of equality.
What is the Addition Property of Equality?
The addition property of equality states that to balance an equation, whatever value we add to one side of an equation must be added also from the other side of the equation.
In step 3, we have the following equation:
-8x - 42 = -22
Simon applied the addition property of equality by adding 42 to both sides of the equation to get -8x = 20 in step 4.
Thus:
-8x - 42 + 42 = -22 + 42
-8x = 20
Therefore, from From the steps, Simon used in solving the equation, the property he applied to get to step 4 from step 3 is: A. addition property of equality.
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Which ratio is equivalent to 3:18
Answer:
Step-by-step explanation:
3 : 18 = 1 : 6Then multiplying both the sides by 7 we get 7 : 42
Answer: 1:6
Step-by-step explanation: you divide 3 by 3 and 18 by 3
What is the distance of a point (- 4 3 from the axis?
The y coordinate of each given point indicates how far it is from the x-axis, thus we may deduce that the distance of the point (-4, 3) from the y-axis is 3 units.
What is the distance?Measuring the distance between two objects or points can sometimes be done statistically and other times qualitatively.
In physics, the term "distance" can refer to a length in the real world or, more usually, to an estimate based on a variety of other criteria.
The distance between any two points on a plane is given by the length of the line segment connecting those points.
The formula d=(((x2 - x1)2 + (y2 - y1)2) is typically used to determine the distance between two locations.
So, we have the points as follows:
(-4, 3)
We can infer that the distance of the point (-4, 3) from the y-axis is 3 because the y coordinate of each given point specifies how distant it is from the x-axis.
Therefore, the y coordinate of each given point indicates how far it is from the x-axis, thus we may deduce that the distance of the point (-4, 3) from the y-axis is 3 units.
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Which point is a reflection of (1.5, -4.5) across the x-axis and the y-axis?
M
-5 -4 -3 -2 -1
A.
7
6
15
4
3-
2-
B.
-1-
-2-
-3-
J-4-
-5-
0
-6
-7-
point /
point J
1-11 17
y
01
2 3 4 5
K
The point (x, y) is the reflection of the line y is x across the point (x, y) (y, x). The point (x, y) is the reflection of the line y is-x across the point (x, y) (-y, -x).
How do you determine the x- and y-axis reflection points?The point (x, y) is the reflection of the line y=x across the point (x, y) (y, x). The point (x, y) is the reflection of the line y=-x across the point (x, y) (-y, -x).
The x-coordinates stay the same when a point is reflected across the X-axis. However, the Y-coordinates are changed into the corresponding signs. As a result, the point's (x, y) reflection across the X-axis is (x, -y).
The point (x, y) is the reflection of the line y=x across the point (x, y) (y, x). The point (x, y) is the reflection of the line y=-x across the point (x, y) (-y, -x).
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What is the distance of the point 3 4 5 from the origin?
The distance of the point 3 4 5 from the origin is 5√2
What is Coordinate geometry ?A coordinate system is a method for determining how to position points or other geometrical objects on a manifold, such as Euclidean space, uniquely using one or more integers, or coordinates.
Consider the two points A (x 1, y 1, z 1) and B (x 2, y 2, z 2) in a three-dimensional plane to get the distance formula for two points in the plane.
Let d be the separation between points A and B. The distance between two points in 3D may be calculated using the same reasoning (as outlined in the preceding section) as the distance between two points in 2D.
d = √{(x1 - x2)² + (y1 - y2)² + (z1 - z2)²}
The points are (3,4,5) and (0,0,0)
The distance between the points is
d = √{(3-0)² + (4-0)² + (5-0)²}
⇒ d = √{3² + 4² + 5²} = √(9 + 16 + 25) = 5√2
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The barber cuts 61 haircuts in 4 days. Determine the rate for a ratio of the two different quantities.
The rate of the number of haircuts to the number of days as -
{r} = 15.25.
What are ratios?In mathematics, a ratio shows how many times one number contains another.In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that the barber cuts 61 haircuts in 4 days.
We can write the rate for the ratio of the number of haircuts to the number of days as mentioned below -
{r} = 61/4
{r} = 15.25
Therefore, the rate of the number of haircuts to the number of days as -
{r} = 15.25.
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H(1) if h(x) =19-10/x
please explain and show work on this problem, thank youuu:)
h(x)= 19-10/x
that's finding the inverse
Enrique is recording the number of hamburgers and
hot dogs that he eats each week. The table shows
the nutritional information for hot dogs and hamburgers that he found on the Internet.
From the hamburgers and hot dogs Enrique eats each week, he decides to have around 1,200 total calories and 60 total grams of fat.
Part A: 2 points
Write two equations to represent the number of hot dogs and hamburgers he will need to eat to meet the total calories and grams of fat.
Part B: 2 points
On the coordinate plane on the left, graph the two lines that represent the maximum number of hot dogs and hamburgers Enrique can eat in one week, and identify the solution as a coordinate.
Part C: 1 point
Interpret the solution of the system of equations in the context of the situation being modeled.
Explain your answer.
Answer:
write a letter to your friends in another school and direct him or her to visit your school
What is the degree of the polynomial 4 4x 4x³ *?
The degree of the polynomial 4 4x 4x³ is 3.
The degree of a polynomial is the highest degree of the terms that make up the polynomial. In this case, the highest degree is 3, which is the degree of the term 4x³. Therefore, the degree of the polynomial is 3.
The degree of a polynomial is a measure of its complexity and is determined by the highest degree of the terms that make up the polynomial. In this case, the polynomial consists of three terms: 4, 4x and 4x³. The highest degree of these terms is 3, which is the degree of the term 4x³. Therefore, the degree of the polynomial 4 4x 4x³ is 3. This means that it is a third degree polynomial, and the highest power of the variable is 3. By understanding the degree of the polynomial, we can easily determine the complexity of the polynomial and the degree of accuracy it can achieve in describing a certain phenomenon.
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