how to convert 300m to feet?
By knowing the conversion factors, we can easily and accurately convert measurements to any unit we desire. In this case, 300m is equal to 984.252 feet.
Measurement conversions are an important aspect of mathematical calculations. They help us convert units of measurement to another, making it easier to compare and understand quantities. In this case, we will look at how to convert 300m to feet.
To convert 300m to feet, we need to know the conversion factor between the two units of measurement. One meter is equal to 3.28084 feet. Therefore, to convert 300m to feet, we need to multiply 300 by the conversion factor.
300m * 3.28084 = 984.252 feet
Therefore, 300m is equivalent to 984.252 feet.
It's important to note that when converting between units of measurement, it's important to use the correct conversion factor to ensure accurate results. Additionally, being familiar with common conversion factors can save time and make calculations easier.
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Lola’s car can travel no more than 445 miles on one full tank of gasoline. After filling up the tank, she traveled 163 miles in the car. Which inequality represents all possible values of m, the number of miles Lola can travel in the car with the remaining gasoline in the tank?
The inequality that represents all possible values of m, the number of miles Lola can travel in the car with the remaining gasoline in the tank is m ≤ 282.
What is inequality?An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. [1] The majority of the time, size comparisons between two numbers on the number line are made. Several types of inequalities are represented by a variety of notations, including:
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
Let the number of miles = m.
Given that, Lola’s car can travel no more than 445 miles on one full tank of gasoline.
m ≤ 445
After filling up the tank, she traveled 163 miles in the car.
Remaining distance is:
m ≤ 445 - 163
m ≤ 282
Hence, the inequality that represents all possible values of m, the number of miles Lola can travel in the car with the remaining gasoline in the tank is m ≤ 282.
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the average height for 14 year old boy is
According to the Centers for Disease Control and Prevention (CDC) growth charts, the average height for a 14-year-old guy in the United States is about 5 feet, 5 inches (165 cm). Some 14-year-old guys may be taller or shorter than the average.
Height is a measure of the distance between the base of an object and its highest point. Human height is commonly described as the vertical distance between the bottom of the feet and the top of the head. Height is generally measured in centimetres or feet and inches. Height is an important physical feature that can be influenced by both inherited and environmental factors such as nutrition and physical activity.
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50 sutdents went on a filed trip 23 stundets wore hats how what percent of people did not were hats
54% of the students did not wear hats on the field trip.
What is percentage ?
Percentage is a way of expressing a quantity as a fraction of 100. It is often denoted by the symbol "%". For example, if you say that something has a percentage of 50%, it means that 50 out of every 100 parts of that thing belong to the quantity being measured.
According to given condition :
To find out what percentage of people did not wear hats, we first need to find out how many of the 50 students did not wear hats.
If 23 students wore hats, then the number of students who did not wear hats is:
50 - 23 = 27
So 27 students did not wear hats. To express this as a percentage, we divide the number of students who did not wear hats by the total number of students and then multiply by 100:
(27/50) x 100 = 54%
Therefore, 54% of the students did not wear hats on the field trip.
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A chicken coop contains chickens and rabbits. There are altogether 56 legs and 20 heads, How many hens are there in this chicken coop?
Answer: Impossible to answer/ 12 chickens 8 rabbits
Step-by-step explanation: The question asks how many hens there are, or female chickens. We do not know if the chickens are female or male, so we cannot answer. If you meant how many chickens there were, then we start with 20 chickens and 0 rabbits. Doing so, we have 40 legs. When we switch a chicken for a rabbit, we have 19 chickens and 1 rabbit, and 42 legs. So, we can subtract 56-40 giving us 16 extra legs we need, so we divide 16/2 giving us 12 chickens and 8 rabbits.
A test tube has a hemisphere-shaped lower
portion and a cylindrical upper portion with
the same radius. The test tube fills up to the
Sup
point of being exactly full when 4554/7 cu cm
of water is poured, but when only 396 cu cm
is added, 9 cm of the tube is left empty.
Calculate the test tube's radius and the
cylindrical part's height.
The radius is 3.50 cm and height of the cylindrical portion is 6.17 cm
How to determine the test tube's radius and the cylindrical height?
First let's denote the radius of the test tube as "r" and the height of the cylindrical portion as "h". We can use the given information to set up two equations.
First, we know that when 4554/7 cu cm of water is poured, the test tube is exactly full. The volume of a hemisphere with radius r is (2/3)πr³, and the volume of a cylinder with radius r and height h is πr²h. So we can write:
(2/3)πr³ + πr²h = 4554/7
Second, we know that when only 396 cu cm is added, there is 9 cm of empty space left in the tube. We can find the height of the water in the tube using similar triangles:
h_water / (2r) = (4554/7 - 396) / (2/3)πr³
Simplifying this equation, we get:
h_water = (9/7)πr³ - (9/2)r
Now we can substitute this expression for h_water into the first equation:
(2/3)πr³ + πr²[(9/7)πr³ - (9/2)r] = 4554/7
Expanding and simplifying, we get a cubic equation in r:
(16/21)πr⁴ - (81/2)πr³ + (4554/7)πr² - (4554/14)r = 0
Using numerical methods or a graphing calculator, we can solve this equation to find that:
r ≈ 3.5 cm
Substituting this value back into the equation for h_water, we get:
h_water ≈ 8.5 cm
So the height of the cylindrical portion is:
h_cylinder = h - (2/3)r = 8.5 - (2/3)(3.5) = 6.166... cm
Therefore, Rounding to two decimal places the radius is 3.5 0cm and height of the cylindrical portion is 6.17 cm
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I need a bit of help please
The solution to the system of inequalities is:
x ≥ -3.8 and
x ≤ 3
This can also be expressed as
-3.8 ≤ x ≤ 3
How the answer was obtainedsolving the first inequality:
-2x - 3x ≤ 19
Combining like terms, we get:
-5x ≤ 19
Dividing both sides by -5 :
x ≥ -3.8
So we have found that x is greater than or equal to -3.8.
From the second inequality:
-8x ≥ -24
Dividing both sides by -8:
x ≤ 3
So we have found that x is less than or equal to 3.
Therefore, the solution to the system of inequalities is:
-3.8 ≤ x ≤ 3
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The diagram shows a circle with centre O. A, Y and B lie on a straight line. C, Y and D lie on a straight line. Given that: AB = 6mm; BY = 2mm; and DY = 2.5mm; work out the length CD.
The value for the length of CD is equal to 3.9 mm using the intersecting secant theorem
What is the intersecting secant theoremThe intersecting secant theorem, also known as the secant-secant theorem, states that when two secant lines intersect outside a circle, the product of the length of one secant segment and its external segment is equal to the product of the length of the other secant segment and its external segment.
DY × CY = BY × AY
{AY = 2 mm + 6 mm}
2.5 × CY = 2 mm × 8 mm
2.5 × CY = 16 mm
CY = 16mm/2.5 {divide through by 2.5}
CY = 6.4
{CD = CY - DY}
CD = 6.4 - 2.5
CD = 3.9
Therefore, the value for the length of CD is equal to 3.9 mm using the intersecting secant theorem.
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Please, Help me with this question
Answer:
1 solution, x = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
We can factor [tex]4x^2 - 4x + 1[/tex] first:
[tex](2x-1)(2x-1)[/tex]
= [tex](2x-1)^2[/tex]
To find the solution, we can do:
[tex]2x-1=0[/tex]
Let's find x now:
2x = 1
x = [tex]\frac{1}{2}[/tex]
Therefore, there is 1 solution and it is x = [tex]\frac{1}{2}[/tex]
i really need to understand this help
Answer:
a = √c² - b²
Step-by-step explanation:
The process...
Show your work and reasoning.
A
27°
B
12
C
Finding a Missing Side Length in a Right Triangle:
Given a side length and angle measure
1. Locate the angle measured. If both are known, pick one.
2. Label the sides of the right triangle. Start with the hypotenuse.
Then opposite and adjacent.
3. Which side do you know? Which side are you trying to find?
4. Decide which trig function (cosine, sine, or tangent) fits the
sides chosen in step 3.
5. Write your equation. Fill in the known measurements.
6. Create two fractions. Cross-multiply to solve
The missing side length, C, is approximately 23.53 units.
To find the missing side length in a right triangle, we need to use trigonometry. Given the angle A = 27° and the side length opposite to it, B = 12C, we can follow the following steps to find the missing side length:
1. Locate the angle measured: In this case, we are given angle "A = 27°."
2. Label the sides of the right triangle: Let's label the hypotenuse as H, the side opposite to angle A as O, and the side adjacent to angle A as A. We can choose any side as the hypotenuse, so let's choose H to be the side opposite to angle B.
3. Which side do you know? Which side are you trying to find?: We know the length of side B and are trying to find the length of side C.
4. Decide which trig function (cosine, sine, or tangent) fits the sides chosen in step 3: We are given the length of the opposite side (B) and are trying to find the length of the adjacent side (C), so we will use the tangent function.
5. Write your equation. Fill in the known measurements: The tangent of angle A is defined as the ratio of the length of the opposite side to the length of the adjacent side. So we can write: tan(A) = B/C
Substituting the known values, we get:
tan(27°) = 12/C
6. Create two fractions. Cross-multiply to solve: To solve for C, we can cross-multiply and simplify the equation as follows:
tan(27°) = 12/C
C * tan(27°) = 12
C = 12/tan(27°)
Using a calculator, we can evaluate the value of tan(27°) to be approximately 0.5095. Therefore,
C = 12/0.5095 ≈ 23.53
Hence, the missing side length, C, is approximately 23.53.
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What is 75 cm in inches?
The length of 75cm converting to inches is 29.53 inches.
The inch is a unit of length commonly used in the United States, the United Kingdom, and some other countries. It can be calculated by using the conversion factor of 1 inch being equal to 2.54 centimeters.
Understanding conversions between different units of measurement is crucial in various fields such as science, engineering, and mathematics. Therefore, to convert centimeters to inches, we need to divide the number of centimeters by 2.54.
In this case, 75 cm divided by 2.54 results in 29.53 inches.
The length of 75 cm is equivalent to approximately 29.53 inches.
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1) Find the 10th term in the sequence 10, 50, 250,...
Answer:
3906250
Step-by-step explanation:
They are multiplying each one by 5 to get the next number in the sequence so we just have to do it for each one until we get to the 10th sequence
1) 10 =
10
2) 10 x 5 =
50
3) 50 x 5=
250
4) 250 x 5=
1250
5) 1250 x 5=
6250
6) 6250 x 5=
31250
7) 31250 x 5=
156250
8) 156250 x 5=
781250
9) 781250 x 5=
3906250
10) 3906250
---204-ft-
327.6 ft.
245 ft.
Taco Time
TACO
TRUCK
The route you chose for Zoe on the previous screen is
shown. Determine the amount of time this route will
take.
Recall:
Speed on the BOARDWALK is 5 feet per second.
• Speed on the SAND is 3 feet per second.
Use paper and/or a calculator as necessary.
Daniel's Time
C
C
Brandon's Time
Check My Work
Zoe's Time
How to calculate unit vector Online?
To calculate unit vector online we have to divide the original value of the vector by its magnitude.
A vector with a length of one is known as a unit vector. A direction vector is a unit vector that represents a spatial direction.
It is possible to determine the unit vector along the same direction if you are given an arbitrary vector. To accomplish it, use the following formula:
û = u / |u|,
Our distance calculator can be used to determine a vector's magnitude, or you can use the straightforward equation:
|u| = √(x² + y² + z²)
Finding the midpoint of a segment can be done with the help of the vector magnitude calculation.
When defining linear transformations, the unit vector is a helpful concept to understand. The matrix norm, for instance, represents the amount by which a unit vector is stretched when multiplied by a matrix.
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how do you find the expected value and standard deviation of a geometric random variable
In order for the expected value and standard deviation to be well-defined, we must have p > 0. If p = 0, then the geometric distribution is degenerate and always takes the value 0. If p = 1, then the geometric distribution is also degenerate and always takes the value 1.
To find the expected value and standard deviation of a geometric random variable, we first need to understand what a geometric random variable is.
A geometric random variable is a discrete random variable that represents the number of independent Bernoulli trials (i.e., trials that have only two possible outcomes) needed to obtain the first success. The probability of success on each trial is denoted by p, and the probability of failure (i.e., not obtaining a success) is denoted by q = 1 - p.
The expected value (also known as the mean) of a geometric random variable is given by E(X) = 1/p. This means that on average, we expect to perform 1/p independent Bernoulli trials before we obtain the first success.
To find the standard deviation of a geometric random variable, we use the formula:
SD(X) = [tex]\sqrt {[ (1 - p) / p^2 ][/tex]
This formula is derived using the variance formula, which is
Var(X) = [tex](1 - p) / p^2[/tex]. The standard deviation is then the square root of the variance.
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Mei Mei spots an airplane on radar that is currently approaching in a straight line, and that will fly directly overhead. The plane maintains a constant altitude of 6350 feet. Mei Mei initially measures an angle of elevation of 17 to the plane at point A. At some later time, she measures an angle of elevation of 36 to the plane at point B. Find the distance the plane traveled from point A to point B. Round your answer to the nearest foot if necessary.
The distance between points A and B is 11785.2 ft.
What is algebraic expression?In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations.
Given is that the plane maintains a constant altitude of 6350 feet. Mei Mei initially measures an angle of elevation of 17° to the plane at point A. At some later time, she measures an angle of elevation of 36° to the plane at point B.
We can write -
tan (17°) = 6350/AC
tan (36°) = 6350/BC
Now, we can write -
AC = 6350/tan (17°) ... { 1 }
AC = 20483.9 ft
&
BC = 6350/tan (36°) ... { 2 }
BC = 8698.7 ft
We can write -
AB = AC - BC ... { 3 }
AB = 20483.9 - 8698.7
AB = 11785.2 ft
Therefore, the distance between points A and B is 11785.2 ft.
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Shae will barrow $2400 at 13.5% ARP. She will pay it back over 2 years. What will her monthly payment be?
Shae's monthly payment will be approximately $114.63.
How to calculate Shae's monthly paymentFirst we can use the formula for the present value of an annuity:
P = (r * A) / (1 - (1 + r)^(-n))
where
P is the loan amount r is the monthly interest rate A is the monthly paymentn is the total number of payments (in this case, 2 years or 24 months)First, we need to convert the annual percentage rate (APR) to a monthly rate, which is done by dividing it by 12:
r = 13.5% / 12 = 0.01125
Next, we can plug in the values and solve for A:
2400 = (0.01125 * A) / (1 - (1 + 0.01125)^(-24))
Simplifying this equation, we get:
A = (0.01125 * 2400) / (1 - (1 + 0.01125)^(-24)) = 114.63
Therefore, Shae's monthly payment will be approximately $114.63.
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how to find point of inflection
To find a point of inflection, take the second derivative of the function, set it equal to zero and solve for x, and verify the point by checking the sign of the second derivative on either side of the point.
Follow these steps to locate a point of inflection:
Take the function's second derivative. The derivative of the first derivative is the second derivative. This will give you the concavity of the function.Put the second derivative to zero and find x. This will show you where the concavity changes.At this stage, check to see if the sign of the second derivative changes. The point is a point of inflection if the second derivative is positive to the left of the point and negative to the right of the point. The point is not an inflection point if the sign of the second derivative does not change.Check the concavity of the curve on each side of the point to verify it.It is a point of inflection if the curve shifts from concave up to concave down at the point. It is also a point of inflection if it transitions from concave down to concave up.
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A quantity x is a least 10 and at most 20.
Answer:
10<=x <= 20
Step-by-step explanation:
Sorry but <= means less that or equal to.
How to multiply Matrices 3x3 matrix by 3x3 matrix ?
Multiply each row of the first matrices of 3 x 3 order by the column of another matrix of 3 x 3 order, then add the result.
To multiply the two matrices the number of column of the first matrices should be equal to the number of rows of the second matrices.Multiply each row of the first matrices to the each column of the second matrices .Now add the result of the multiplication for each input.Order of the resultant matrix is always equals to same number of rows of first matrix and number of the columns of the second matrix.In the given 3 x 3 order matrices number of columns of the first matrix is same as the number of columns of the second matrix.Resultant matrix is also of the order 3 x 3 order.Therefore, to multiply 3 x 3 order matrices multiply each row of first matrix with each column of the second matrix.
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What is the conversion of 400 grams to pounds ?
The converted value in the standard form using grams to pounds representing the mass is given by 400 grams = (0.881849 ) pounds.
Grams and pounds represents one of the standard unit to measure the mass of any thing.Standard form to relates these two given quantities of mass grams and pounds is equal to :
One gram is equivalent 0.00220462 pounds.
Now, substitutes the standard relation between the grams and the pounds to calculate the required value,
1 gram = 0.00220462 pounds
⇒ 400 grams = ( 400 ) × ( 0.00220462 ) pounds
⇒ 400 grams = ( 0.881849 ) pounds
Therefore, the converted value of 400 grams into the pounds as per standard norms is written as ( 0.881849 ) pounds.
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A shipping company uses two different cube containers,A and B. Cube A holds half as much liquid as cube B. Cube A's edge length is 4 feet . What is the edge length of cube B? Round your answer to the nearest hundredth.
Answer:
2 feet.
Step-by-step explanation:
Since the volume of cube A is 64, we can divide the edge (4) by two because cube B can only hold half as much liquid.
Thus, the edge of cube b is 2 feet.
Hope it helped!
what is the rectangular form of 6(cos(225o) i sin(225o))? negative 3 startroot 2 endroot minus 3 startroot 2 endroot i negative 3 startroot 2 endroot 3 startroot 2 endroot i 3 startroot 2 endroot minus 3 startroot 2 endroot i
The rectangular form of 6{(cos225°) +i(sin225°) }is -3√2-3i√2.The shape that complex numbers typically take is referred to as rectangle form: z = a + bi.
What are polar form and rectangular form?Polar notation depicts a complex number in terms of the lengths of the vector and the angular direction from the starting point. In rectangle notation, a complex number is represented by its vertical and horizontal dimensions. The system is referred to be rectangular because the angles made by the axes at the origin and the measurements at point p are both 90 degrees. As a result, the measurement results in a rectangle with sides Xp and Yp.
To determine rectangular form, we obtain,
Let Z=6{(cos225°) +i(sin225°)}
Now, cos225°=-cos( 180°+45°)= -cos45°= -[tex]\frac{1}{√2}[/tex]
sin225°=-[tex]\frac{1}{√2}[/tex]
S0, 6{(cos225°) +i(sin225°)}= 6 ( -[tex]\frac{1}{√2}[/tex])+6i(-[tex]\frac{1}{√2}[/tex])=-3√2-3i√2.
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Answer:
A
Step-by-step explanation:
right on edge
roll a six sided number cube 25 times and record the number of 4s that you observe
What is the area and volume of a hemisphere?
The area of hemisphere is given by 3πr² and the volume of the hemisphere is given by 2/3πr³.
When we divide the sphere into two equal halves, we get a hemisphere. The curved surface area of the hemisphere plus the base area will add up to the hemisphere's total surface area. Here, the foundation has a circular shape. We may discover many examples of hemispheres in daily life, such as how our planet Earth is divided into the southern and northern hemispheres.
A hemisphere's surface area is the sum of all of its faces. When a sphere is cut along a plane that runs through its centre, a three-dimensional shape known as a hemisphere is created. A hemisphere is, in other terms, one-half of a sphere.
3πr²
A hemisphere has one flat circular base and a curving surface. The quantity of unit cubes that can fit inside a hemisphere is known as its volume.
2/3πr³.
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In AQRS, q = 99 cm, r = 17 cm and s-96 cm. Find the measure of ZS to the nearest
degree.
The measure of ∠S is 75 degrees
How to find the measure of ∠S to the nearest degree?
The cosine rule is for solving triangles which are not right-angled in which two sides and the included angle are given. The following are cosine rule formula:
cos(S) = (q² + r² - s²)/2qr
where q, r and s are the lengths and Q, R and S are the angles
Using the formula:
cos(S) = (q² + r² - s²)/2qr
cos(S) = (99² + 17² - 96²)/(2*99*17)
cos(S) = 0.2597
S = cos⁻¹(0.2597)
S = 75 degrees
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Members of a softball team raised $1353 to go to a tournament. They rented a bus for $943.50 and budgeted $31.50 per player for meals. Write and solve an equation which can be used to determine
�
x, the number of players the team can bring to the tournament.
Equation:
Answer:
�
x =
Answer:
13
Step-by-step explanation:
943.50 + 31.50x = 1353
This is in the form y=mx+b.
To isolate for x, move 943.50 to the other side and subtract it from 1353.
31.50x = 409.50
now, divide by 31.50 to get x by itself.
x =13
The team can bring 13 players to the tournament.
PLEASE HELP ASP There is a 25% chance of rain on Saturday and a 40% chance of rain on Sunday. Matthew designed a simulation to predict the probability of rain on both Saturday and Sunday. He used
two fair spinners, as shown below, for the simulation.
Answer:
12%
Step-by-step explanation:
based on the simulation info, if there is both
1. A "1"
2. An "A" or "B",
then it will rain on both days. This occurs 3 times out of 25, or 3/25 = 0.12 = 12%
1. 2nd row 1st column
2. 3rd row 4th column
3. 5th row 2nd column
Find the next three terms in each geometric sequence. 54, 162, 486, ...
Answer:
Step-by-step explanation:
To find the next 3 terms in this geometric sequence, we need to first find the common ratio (aka the number you multiply in to get from one term in the sequence to the next). We find that if we multiply 54 by 3, we get to 162. If we multiply 162 by 3, we get to 486. Therefore, our common ratio is 3. Continuing on with this process,
486*3=1458
1458*3=4374
4374*3=13122
The next three terms in each geometric sequence 54, 162, 486 are 1458, 4374, and 13122.
The sequence given is a geometric sequence, which means that each term is obtained by multiplying the previous term by a constant factor. To determine the next three terms in the sequence, we must first determine the common ratio (r) by dividing any term by its preceding term:
r = 162/54 = 3
Similarly, r = 486/162=3
We can use this common ratio to find the next three terms:
To find the fifth term, we multiply the fourth term by the common ratio: 486 x 3 = 1458.
To find the sixth term, we multiply the fifth term by the common ratio: 1458 x 3 = 4374.
To find the seventh term, we multiply the sixth term by the common ratio: 4374 x 3 = 13122.
Therefore, the next three terms in the sequence are 1458, 4374, and 13122.
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