The persons weight that had the least absolute change is: Rebecca
How to find the change in weight?We are given the initial and final weights of Ophelia, Aaron, Nathan and Rebecca.
Ophelia's change in weight = 157 - 145 = 12 lbs
Aaron's change in weight = 163 - 178 = -15 lbs
Nathan's change in weight = 217 - 136 = 81 lbs
Rebecca's change in weight = 128 - 136 = -8 lbs
The absolute value of a number or integer is the actual distance of the integer from zero, in a number line. Therefore, the absolute value is always a positive .
Thus, "absolute value" means to remove any negative sign in front of a number, and to think of all numbers as positive (or zero).
Therefore, the least absolute change is |-8 lbs| = 8 lbs
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Number line from 0 to 1. There are 5 large tick marks equally spaced between 0 and 1. There are 3 equally spaced smaller tick marks between every pair of large tick marks. The first of these smaller tick marks has a dot on it.
Question
Which statement about determining the quotient 112÷3 is true?
Responses
Because 14×3=112, 112 divided by 3 is 14.
Because , 1 fourth times 3 equals 1 over 12, , , 1 over 12, divided by 3 is , , 1 fourth, , .
Because 34×3=112, 112 divided by 3 is 34.
Because , 3 over 4 end fraction times 3 equals 1 over 12, , , 1 over 12, divided by 3 is , , 3 over 4, , .
Because 136×3=112, 112 divided by 3 is 136.
Because , 1 over 36 end fraction times 3 equals 1 over 12, , , 1 over 12, divided by 3 is , , 1 over 36, , .
Because 43×3=112, 112 divided by 3 is 43.
The correct option is, Because 1/36 times 3 equals 1/12, the quotient of the division of 1/12 ÷ 3 gives 1/36.
Given problem is to find the quotient of the division of 1/12 ÷ 3.
The quotient of the given division is some x, such that,
3x = 1/12
That is when we multiply the required quotient with 3, we will get the product as 1/12.
We know that,
3 × 1/36 = 1/12
So the quotient is 1/36.
Hence the required quotient is 1/36.
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MORE HELP IS NEEDED!!!!!!!!
Answer: 120 yd^2
Step-by-step explanation:
First find the area of the square using the l*l=A: 10*10=100
Then, find the area of the triangle using the formula (b*h)/2: (4*10)/2=40/2=20
Now add the area of the 2 shapes: 100+20=120
Therefore the area of the figure is 120
Find the surface area to the nearest whole number.
The surface area of the square pyramid, to the nearest whole number is: 131 m².
How to Find the Surface Area?The surface area of the composite solid can be found by using the formula below:
Surface area = 8(area of 8 triangular faces)
= 8(1/2 * a * l)
Where:
a = base length of the square pyramid=
l = slant height of the square pyramid
We are given:
a = 4 m
l = √(8² + 2²) = [based on Pythagorean Theorem]
l = 8.2 m
Therefore:
Surface area = 8(1/2 * a * l) = 8(1/2 * 4 * 8.2)
≈ 131 m²
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It is
3
:
32
p.m.
3:32 p.m.3, colon, 32, start text, space, p, point, m, point, end text and Emma has gymnastics lessons at
6
:
00
p.m.
6:00 p.m.6, colon, 00, start text, space, p, point, m, point, end text
How many minutes are there until Emma's gymnastics lessons?
Answer:
148
Step-by-step explanation:
You want to know the number of minutes from 3:32 pm to 6:00 pm.
MinutesThere are 60 minutes in an hour, so the 2 hours between 3:32 and 5:32 will be a total of 2·60 = 120 minutes.
The number of remaining minutes in the hour between 5 pm and 6 pm is ...
60 -32 = 28
So, the total number of minutes between 3:32 pm and 6:00 pm is ...
120 +28 = 148 minutes
There are 148 minutes from 3:32 pm until Emma's gymnastics lesson.
__
Additional comment
Degrees and hours both are subdivided into 60 parts called minutes. Some calculators can use this to do calculations when hours (degrees) and minutes are given. The result will generally be expressed in hours (degrees), which can be converted to minutes by multiplying by 60.
If you know the measure of the central angle, how can you find the measure of the major arc?
Since a circle has a 360° circumference, dividing an arc's degree measurement by 360° yields the percentage of the circle's circumference that the arc represents. The length along the arc is then obtained by multiplying the circle's circumference, which is its total length, by that fraction.
It is a significant arc if the centre angle is larger than or equal to 180°.It is a minor arc if the central angle is less than 180°; to obtain the major arc, take the minor arc's angle from 360°.
What is arc?
In mathematics, an arc is a portion of the boundary of a circle or curve. It also goes by the name "open curve."
The measurement around a circle that determines its edge is called the circumference, often known as the perimeter. The distance between any two places along the arc's perimeter is thus defined as the arc.
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help with this math problem please with steps
Answer:
62 in
Step-by-step explanation:
5 x 2 = 10
5 x 3 = 15
2 x 3 = 6
2 x 3 = 6
2 x 5 = 10
3 x 5 = 15
Just needing help here please
The area bounded by y = x² + 5 and the x axis from x = 0 to x = 5 is .66.67 square units
How do you solve for the area bounded by y = x² + 5?To solve for the bounded area, we us
∫(x² + 5) dx = (1/3x³ + 5x +C). This is known as the antiderivative of the function.
When we input the figures, it will be
∫[(1/3)(5³) + 5(5)] - [(1/3)(0) + 5(0)}
[(1/3)(125) + 25] -[0]
= 125/3 + 25
convert 25 into a fraction
= 125/3 + 75/3
= 200/3
= 66.67
The question as seen in the picture is;
Below is the graph y = x² + 5
The area bounded by y = x² + 5 and the x axis from x = 0 to x = 5 is ........
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Mr. Smith and Mr. Stein were driving to a business meeting 140 miles from their office. Mr. Smith drove the first
miles, then Mr. Stein drove the rest of the way.
Write an algebraic expression for how many miles Mr. Stein drove.
The distance that Mr. Stein drove can be represented by the expression: [tex]140 - x[/tex]
What is an algebraic expression?A mathematical phrase made up of one or more variables, constants, and arithmetic operations like addition, subtraction, multiplication, and division is known as an algebraic expression. Exponentiation and other mathematical operators could also be present.
Let's assume that Mr. Smith drove "x" miles before Mr. Stein took over the driving.
Then, the total distance they traveled is 140 miles.
So, the distance that Mr. Stein drove can be represented by the expression:
140 - x
Therefore, This is because if Mr. Smith drove "x" miles, then the remaining distance that needed to be covered by Mr. Stein would be the difference between the total distance of 140 miles and the distance already driven by Mr. Smith.
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Simplify the fraction 15/50
Answer:
3/10 or .3 in decimal form:)
Step-by-step explanation:
Question is really hard help me
The measure of the angle m∠1 for triangle formed by the tangent line BP is equal to 147°
Tangent to a circle theoremThe tangent to a circle theorem states that a line is tangent to a circle if and only if the line is perpendicular to the radius drawn to the point of tangency
we observe a right triangle ABP with a radius perpendicular to the line BP tangent to the circle, with the hypotenuse AK. Hence we can solve for the angle m∠1 as follows:
m∠1 + m∠APB = 180° {sum of interior angles of a triangle}
m∠1 + 33° = 180°
m∠1 = 180° - 33° {collect like terms}
m∠1 = 147°
Therefore, the measure of the angle m∠1 for triangle formed by the tangent line BP is equal to 147°
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in a class of 25 students, 60% play basketball. how many students don't play basketball?
Answer:
10 students.
Step-by-step explanation:
Considering that 60% of 25 is 15, all we need to do is find 40% of 25
Multiply 25 by 0.4=10.
Hope this helps!
Answer:
10
Step-by-step explanation:
x = students who don't play basketball
[tex]x=25(\frac{100-60}{100} )=25(\frac{40}{100} )=25(0.4)=10[/tex]
Hope this helps.
Here is a FDT for a small data set:
data freq
36 3
37 4
38 4
39 3
40 6
Find the following measures of central tendency.
mean =
median =
mode =
With a frequency of 6, the value 40 in this instance appears the most frequently. Therefore: mean = 38.16
median = 38.5
mode = 40
What is mean?The mean, commonly referred to as the average, is a statistic that expresses central tendency and is calculated by dividing all values in either a dataset by all the data point observations. A dataset's mean is determined by adding up all of its values and dividing the total by the dataset's total number of observations. Take the following dataset, for instance: The mean can be impacted by outliers or extremely high or low values in the information, which can skew the outcome. Use of a different central tendency measure, like the median or mode, may be preferable in these circumstances.
given
To calculate the mean, multiply the sum of all frequencies by the corresponding values, then divide by the total number of frequencies. Therefore:
mean = (363 + 374 + 384 + 393 + 40*6) / (3+4+4+3+6) = 38.16
The middle value in the data set, when placed in order, is what we need to locate to get the median.
Since there are exactly as many data points as there are data points, we must take the average of the two middle values, which in this instance are 38 and 39. Therefore:
median = (38 + 39) / 2 = 38.5
The value that appears the most frequently in the data set must be determined in order to determine the mode.
With a frequency of 6, the value 40 in this instance appears the most frequently. Therefore: mode = 40
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18. Yesterday the Rockville Corporation instituted a 2-for-1 stock split. Before the split, the market share price was $63.44 per share and the corporation had 2.3 billion shares outstanding. What was
the pre-split market cap for Rockville?
The pre-split market cap for Rockville was $145.912 billion.
What is pre-split?
Pre-split refers to the process of dividing each outstanding share of a company's stock into multiple shares, effectively increasing the number of shares outstanding and reducing the price per share. This is often done to make the shares more affordable and accessible to investors.
According to the given information
To calculate the pre-split market cap for Rockville, we need to multiply the number of shares outstanding by the market share price.
Before the split, the market share price was $63.44 per share and the corporation had 2.3 billion shares outstanding.
So the pre-split market cap can be calculated as:
Market cap = Market share price * Number of shares outstanding
= $63.44 * 2.3 billion
= $145.912 billion
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A sports trainer has monthly costs of $70.59 for phone service and $40.16 for his website and advertising. In addition he pays a
$10 fee to the gym for each session in which he trains a client.
Answer:
you didn't provide exact question so here's some help
Step-by-step explanation:
To find the total monthly cost, we need to know how many client sessions the sports trainer has in a month.
Let's say he trains 15 clients in a month.
The cost for client sessions would be:
$10 x 15 = $150
So the total monthly cost would be:
$70.59 (phone) + $40.16 (website/advertising) + $150 (client sessions) = $260.75
tan 0 = 0.7536
Hypotenuse = 29 miles
Opposite side?
Find the arc length s when r=3 and 0=5pi/9 radians.
Answer:
s = [tex]\frac{5\pi }{3}[/tex]
Step-by-step explanation:
arc length is calculated as
s = circumference of circle × fraction of circle
= 2πr × [tex]\frac{0}{2\pi }[/tex] ( cancel 2π on numerator/ denominator )
= 3 × [tex]\frac{5\pi }{9}[/tex]
= [tex]\frac{15\pi }{9}[/tex]
= [tex]\frac{5\pi }{3}[/tex]
1) Let’s redo our Class 3 (Monday, April 3) experiment with projectiles...on Mars!(a) It turns out that if we throw an object upward from the surface of Mars, itsheight at time t is roughly given by the functionh(t) = −1.86t2 + v0t + 2,meters, where v0 is the velocity (in m/s) with which the object was thrown, andwhere we’re assuming, as we did in class, that the object began at a height ofabout 2 meters (a little taller than most of us!).Suppose that we time the flight of our object and find out that it’s in the airfor 10 seconds. Use this information and the formula for h(t) to determine theinitial velocity v0.
Answer:
We know that the object is in the air for 10 seconds, so we can substitute t = 10 into the formula for h(t) and solve for v0:
h(t) = -1.86t^2 + v0t + 2
h(10) = -1.86(10)^2 + v0(10) + 2
h(10) = -186 + 10v0 + 2
h(10) = 10v0 - 184
Since the object was thrown upward, we know that its height at the end of the 10 seconds is 2 meters (the initial height). So we have:
h(10) = 2
10v0 - 184 = 2
10v0 = 186
v0 = 18.6 m/s
Therefore, the initial velocity of the object was 18.6 m/s.
rate 5stars~ and thanks for more po! your welcome.
Volume= 220.5cm cubed
7cm for length
7 cm for height
what is the width
By answering the presented question, we may conclude that Therefore, rectangle the width οf the οbject is 4.5 cm.
What is rectangle?In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles. Since each οf its angles is equal, it is also referred to as an equiangular quadrilateral. The parallelogram also has the οption οf a straight angle. All four sides οf a square are the same length. Four 90-degree vertices and equal parallel sides make up a quadrilateral with a rectangle-shaped shape.
To find the width οf the οbject, we can use the formula for volume οf a rectangular solid which is:
Volume = Length x Width x Height
We have the volume οf the οbject as 220.5 cubic centimeters and the length and height are both given as 7 cm. Substituting these values into the formula, we get:
220.5 = 7 x Width x 7
Simplifying this equation, we get:
Width = 220.5 / (7 x 7)
Width = 4.5 cm
Therefore, the width οf the οbject is 4.5 cm.
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The linear functions f(x) = mx + b and g(x) = px + q have the same end behavior. What relationships must exist, if any, between the
values of m, b, p, and q?
Choose the correct answer below.
A. There is no relationship between m, b, p, and q that will guarantee the same end behavior.
B. The sign of m and p must be the same, and b must equal q.
C. The slopes m and p must be equal, and b must equal q.
D. The sign of m and p must be the same. The relationship between the other variables does not matter.
As the linear functions have the same end behavior, the relationship is given as follows:
D. The sign of m and p must be the same. The relationship between the other variables does not matter.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.The slope determines if a linear function is increasing or decreasing, hence the only condition needed for two linear functions to have the same end behavior is that the slopes of the two functions have the same signal.
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I do not understand.
Answer:
Read step by step explanation
Step-by-step explanation:
Well, it basically shows the angle is 40 degrees, and the circle angle from the angle is 96 degrees. I think so.
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ind the standard deviation of the sampling distribution of sample means using the given information. Round to one decimal place, if necessary.
μ=47 and σ=9; n=4
The standard deviation of the sampling distribution of sample means is 4.5.
What is standard deviation?
Standard deviation is commonly used to describe the spread or distribution of a data set and is often used in inferential statistics to assess the significance of differences between groups or to estimate the precision of measurements.
To find the standard deviation of the sampling distribution of sample means, we can use the formula σ_[tex]\bar{x}[/tex] = σ/√n, where σ is the population standard deviation, n is the sample size, and σ_[tex]\bar{x}[/tex] is the standard deviation of the sampling distribution of sample means.
In this case, we are given that the population mean is μ = 47 and the population standard deviation is σ = 9, and we want to find the standard deviation of the sampling distribution of sample means for a sample size of n = 4. Applying the formula, we get:
σ_[tex]\bar{x}[/tex]=σ/√n = 9/√4 = 4.5
Therefore, the standard deviation of the sampling distribution of sample means is 4.5.
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# 20. Mark needs to wash the windows on the second floor of a building. He knows the
windows are 12 feet above the ground. Because of dense shrubbery, he has to put the
base of the ladder 5 feet from the building. What ladder length does he need?
Mark needs a ladder that is 13 feet long in order to reach the second floor windows of the building.
What is length?Length is a measurement of distance or space from one point to another. It is typically measured in units such as meters, feet, or inches. Length is a scalar quantity, meaning it has magnitude but no direction. Length is a fundamental property of physical objects and can be used to measure the size of an object or the distance between two points.
To properly calculate the ladder length Mark needs, we must use the Pythagorean Theorem. The Theorem states that for the triangle formed by the ladder and the building, the square of the hypotenuse (the ladder length) is equal to the sum of the squares of the other two sides. Therefore, the ladder length Mark needs is equal to the square root of the sum of the squares of 5 feet and 12 feet, which is equal to the square root of 169, or 13 feet. Therefore, Mark needs a ladder that is 13 feet long in order to reach the second floor windows of the building.
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es una proporción continua, la media proporcional es 12. si la suma de ambas razones es 1. calcula la tercera proporcional
What is the approximate area of the shaded region? Use 3.14 for 7.
1 in
6 in
4 in
A. 23 square inches
B. 27.14 square inches
C. 22.43 square inches
OD. 20.86 square inches
The Area of the shaded region is 20.86 in²
What is the area of circle?The area of a circle is calculated using the formula A = πr², where "A" is the area of the circle.
We know,
Area of Rectangle = l × w, where l = length and w = width
Area of Circle = [tex]\pi r^{2}[/tex], where r = radius.
find the area of the rectangle,
length = 6 in and width = 4 in
Area of Rectangle = 6 × 4 = 24 inch²
Here given the circle radius is 1 inch, and we use π as 3.14
Area of Circle = [tex]\pi r^{2}[/tex]
Area of Circle = 3.14 × 1² = 3.14 in²
The area of the shaded region as per figure below is:
Area of the shaded region = Area of Rectangle - Area of Circle
Area of the shaded region = 24 - 3.14 = 20.86 in²
Therefore, the answer is D. 20.86 square inches.
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help pls asap if anyone can i need to finish soon!!!
Ali rented a truck for one day. There was a base fee of $16.99, and there was an additional charge of 95 cents for each mile driven. Ali had to pay $243.09
when he returned the truck. For how many miles did he drive the truck?
Which has a larger y intercept
g(x) has a larger y-intercept than f(x).-
Which has a larger y-intercept?The y-intercept is what we get when we evaluate in x = 0.
For f(x) = 4*(3)^x
We evaluate this in x = 0 to get:
f(0) = 4*(3)^0
f(0) = 4*1 = 4
For the other function we have a table, we can see that it is a power of 3, such that:
g(-1) = 27
g(1) = 3
g(3) = 1/3
This function is:
g(x) = (3)^(-x + 2)
So the y-intercept is:
g(0) =3^(2) = 9
g(x) has a larger y-intercept.
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2) How many full rotations will it take for each tire to travel 10,000 miles?
Answer this question in the orange boxes below. Hint: convert your
circumference from question #1 to feet (if it's already in feet, you're all set!),
then divide 52,800,000 by that number. Why 52,800,000? Because
52.800.000 ft = 10 000 miles
Answer:
it will take about 7,851,057 full rotations for each tire to travel 10,000 miles.
Step-by-step explanation:
To answer this question, you need to know the circumference of each tire. The circumference of a tire is the distance around the outside of the tire. You can find the circumference of a tire by multiplying the diameter of the tire by pi, which is approximately 3.14. The diameter of a tire is the distance from one side of the tire to the other. You can find the diameter of a tire by adding the rim diameter and twice the sidewall height. The rim diameter and the sidewall height are given on the tire’s sidewall. and To find out how many full rotations it will take for each tire to travel 10,000 miles, you need to convert the circumference from millimeters to feet, and then divide 52,800,000 feet by that number. One millimeter is equal to 0.00328084 feet, so 2051.2 millimeters is equal to 6.726 feet. Then, 52,800,000 feet divided by 6.726 feet is equal to 7,851,057 rotations.
Calculus multivariables
We have used the calculation below to sow that the definition to show that lim (x,y)→(3,4) f(x, y) = 3 / 26
How to explain the calculationIn order to show that lim (x,y)→(3,4) f(x, y) = 3 / 26, we need to show that for any ε > 0, there exists a δ > 0 such that if 0 < √((x-3)² + (y-4)²) < δ, then |f(x,y) - 3/26| < ε.
Using the given function, we have:
|f(x,y) - 3/26| = |x/(x²+y²+1) - 3/26|
= |(26x - 3(x²+y²+1)) / 26(x²+y²+1)|.
To simplify this expression, we can use the fact that x² + y² ≥ 0 for any x and y. Therefore,
26(x²+y²+1) ≥ 26(0+0+1) = 26.
Using this inequality, we can write:
|f(x,y) - 3/26| = |(26x - 3(x²+y²+1)) / 26(x²+y²+1)|
≤ |(26x - 3(x²+y²+1)) / 26|
≤ |26x / 26| + |3(x²+y²+1) / 26x²+26y²+26|
= |x| + 3(x²+y²+1) / (26(x²+y²+1))
= |x| + 3 / 26 (1 + 1 / (x²+y²+1)).
Now, we choose δ = ε / (1 + 3/26). Then, if 0 < √((x-3)² + (y-4)²) < δ, we have:
|x| ≤ √((x-3)² + (y-4)²) < δ,
and also
1 < 1 + 1 / (x²+y²+1) ≤ 1 + 1 / δ².
Therefore, |f(x,y) - 3/26| ≤ δ + 3 / 26 (1 + 1 / δ²)
< ε / (1 + 3/26) + 3 / 26 (1 + δ²)
≤ ε / (1 + 3/26) + 3 / 26 (1 + ε² / (1 + 3/26)²).
Since the last term does not depend on x and y, we can choose ε sufficiently small such that ε / (1 + 3/26) + 3 / 26 (1 + ε² / (1 + 3/26)²) < ε. Therefore, we have shown that lim (x,y)→(3,4) f(x, y) = 3 / 26.
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please help i been confused on this for so long
The expressions are matched as;
1. Subtract m
2. subtract 2m
3. Add 1
4. subtract 1
5. subtract 2
6. add 2
What are algebraic expressions?Algebraic expressions are described as mathematical expressions that are composed of coefficients, factors, constants, variables and terms.
These expressions are also composed of arithmetic operations. These operations are;
multiplicationBracketParenthesesSubtractionAdditionDivisionFrom the information given, we have that;
2m = 1 + m
collect like terms
2m - m= 1
m = 1
2. 2m -1 = 3m
2m -3m = 1
-m = 1
m = -1
3. m - 1 = 2
m = 2 + 1
m = 3
4. 3 = 1 + m
collect like terms
m = 3 - 1 = 2
5. 2 + m = 3
m = 3 - 2
subtract 2
m = 1
6. -2 + m = 1
collect like terms
m = 1+ 2 = 3
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