Answer: Tension and compression refer to forces that attempt to deform an object. The main difference between tension and compression is that tension refers to forces that attempt to elongate a body, whereas compression refers to forces that attempt to shorten the body.
Step-by-step explanation: thank me later
Order he distance traveled from least to greatest
30 kph for 4 hours
5 kph for 10 hours
15 kph for 2 hours
35 kph for 1 hour
Answer:
15 for 2 = 30km
35 for 1 = 35km
5 for 10 = 50km
30 for 4 = 120km
Step-by-step explanation:
formula is
distance = speed x time
The Surface are of a cylinder is 325 inches. The Lateral area is 200 in. What is radius of each base?
Answer:
The radius of each base is 4.46 inches.
Step-by-step explanation:
The surface area (SA) of a cylinder is given by:
\(SA = 2\pi rh + 2\pi r^{2} = 325\) (1)
Where:
r: is the radius of each base
h: is the height of the cylinder
Now, the lateral area (LA) is:
\(LA = 2\pi rh = 200\) (2)
Hence, by entering equation (2) into equation (1) we have:
\( SA = LA + 2\pi r^{2} \)
\( 325 = 200 + 2\pi r^{2} \)
\( r = \sqrt{\frac{325 - 200}{2\pi}} = 4.46 in \)
Therefore, the radius of each base is 4.46 inches.
I hope it helps you!
Which of the following is an angle that measures between 0° and 90°?
a) Right Angle b) Obtuse Angle c) Acute Angle d) Reflex Angle
Answer:
option c. acute angle.
the angle which is greater than 0° and lesser than 90° is called acute angle.
Answer:
C) Acute angle
Step-by-step explanation:
Acute angles are angles between 0° and 90°
Obtuse angles are angles between 90° and 180°
Right angles are angles that are exactly 90°
Reflex angles are angles between 180° and 360°
Therefore your answer must be C
Hope this helps
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What is the total area of the figure below?
8 in.
16 in
6 in 10 in.
9 in.
Answer:
141 inches (not sure if that's an option but that's what I got
Step-by-step explanation:
I added the areas of the trapezoid and the triangle in the screenshots
Answer:
141
Step-by-step explanation:
Area of triangle = 24
Area of Trapezoid= 117
117+24
141
1) In his career, Henry Aaron collected 6,856 total stolen bases, Stan Musial collected 6,134 total bases, and Willie Mays had 6,066 total bases. How many bases did they have altogether?
Operation:
Solution:
2) In his career, Pete Rose had 14,053 at-bats. Henry Aaron had 12,364 at-bats. How many more at-bats did Pete Rose have?
Operation:
Solution:
3) Henry Aaron hit 755 career home runs. Babe Ruth hit 714 career home runs. Willie Mays hit 660 career home runs. How many home runs did they hit in all?
Operation:
Solution:
4) Pete Rose collected 4,256 career hits in 24 years as a major league player. About how many hits did he average per year?
Operation:
Solution:
5) Bank One Ballpark in Arizona can seat 48,500 people for a game. How many tickets could they sell for 81 games?
Operation:
Solution:
6) Nolan Ryan had 5,714 lifetime strikeouts against the batters he faced. Steve Carlton had 4,136 lifetime strikeouts. How many more strikeouts did Nolan Ryan have?
Operation:
Solution:
7) Dodger Stadium in Los Angeles will seat 56,000 fans. How many groups of 20 fans could they fit into Dodger Stadium?
Operation:
Solution:
8) Babe Ruth had 2,062 career walks. Mickey Mantle collected 1,733 walks. How many fewer walks did Mantle have?
Operation:
Solution:
9) Ty Cobb had 4,189 hits in a 24-year career. Approximately what was his average number of hits per year?
Operation:
Solution:
10) The St. Louis Cardinals have won 9 World Series in the 15 World Series they have played. What is their winning percentage?
Operation:
Solution:
Operation: 6,856 + 6,134 + 6,066 =
Solution: 19,056 total bases.
Operation: 14,053 - 12,364 =
Solution: Pete Rose had 1,689 more at-bats.
Operation: 755 + 714 + 660 =
Solution: They hit a total of 2,129 home runs.
Operation: 4,256 ÷ 24 ≈
Solution: Pete Rose averaged about 177 hits per year.
Operation: 48,500 × 81 =
Solution: They could sell 3,930,500 tickets for 81 games.
Operation: 5,714 - 4,136 =
Solution: Nolan Ryan had 1,578 more strikeouts.
Operation: 56,000 ÷ 20 =
Solution: They could fit 2,800 groups of 20 fans.
Operation: 2,062 - 1,733 =
Solution: Mickey Mantle had 329 fewer walks.
Operation: 4,189 ÷ 24 ≈
Solution: Ty Cobb's average number of hits per year was about 175.
Operation: (9 ÷ 15) × 100% =
Solution: The St. Louis Cardinals have a winning percentage of 60%.
A rectangular prism-shaped display case is 30 1/2 inches wide, 10 1/2 inches long, and 32 1/4 inches tall.
What is the volume of the display case in cubic inches?
Responses
73 1/4 in³
73 and 1 fourth, in³
320 1/4 in³
320 and 1 fourth, in³
10,328 1/16 in³
10328 and 1 sixteenth, in³
28,372 5/8 in
The volume of the display case is 2161 1/8 cubic inches.To find the volume of a rectangular prism-shaped display case, we multiply its length, width, and height.
Given that the display case is 30 1/2 inches wide, 10 1/2 inches long, and 32 1/4 inches tall, we can calculate the volume as follows:
Volume = Length * Width * Height
Using the given measurements:
Volume = 10 1/2 inches * 30 1/2 inches * 32 1/4 inches
To simplify the calculation, we can convert the mixed numbers to improper fractions:
Volume = (21/2) inches * (61/2) inches * (129/4) inches
Next, we multiply the fractions:
Volume = (21/2) * (61/2) * (129/4) = 17289/8
The resulting fraction, 17289/8, is an improper fraction. To convert it back to mixed number form:
Volume = 2161 1/8 in³.
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sophia got a 95% on her statistics mid-term and a 91% on her calculus mid-term. the grades on both tests were normally distributed. the statistics grades had a mean of 87%, with a standard deviation of 7%, while the calculus grades had a mean of 85% with a standard deviation of 4%. on which test did sophia do better, compared to the rest of her class? how can you tell?
Sophia did Calculus test better ompared to the rest of her class, as her z-score for Statistics was lower than her z-score for Calculus
We know that the formula for the z-score is: \(z=\frac{x-\mu}{\sigma}\)
where x is the observed value
μ is the mean of the sample
σ is the standard deviation of the sample
Sophia got a 95% on her statistics. The grades had a mean of 87%, with a standard deviation of 7%
So, her z-score for statistics would be:
\(z_s=\frac{95-87}{7}\\\\z_s=1.14\)
She got a 91% on her calculus mid-term. The grades had a mean of 85%, with a standard deviation of 47%
So, her z-score for statistics would be:
\(z_c=\frac{91-85}{4}\\\\z_c=1.5\)
Since her z-score for Statistics was lower than her z-score for Calculus, she did Calculus test better.
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(x+h)²¹-x² (x+h)-x 60. ab-3a + 5b-15 15+3a-5b-ab Identify the rational functions. 61. fx)--7x²+2x-5 64. f(x)= −1+3 x-2 (x+h)-x² (x+h)-x 62. JLx)- ²¹-2² +7 +2 65. f(x)=5x²-x 58. xy-2y +41-8 2y+6-ay-3 63. f(x)==-1 66. f(x) =*=+5 59.
The rational functions among the given expressions are:
Rational function: (xy-2y +41-8) / (2y+6-ay-3)
To identify the rational functions from the given expressions, we need to look for expressions where the variables are only present in the numerator or denominator, and both the numerator and denominator are polynomials. Rational functions are defined as the ratio of two polynomials.
Let's go through each expression and identify the rational functions:
ab-3a + 5b-15
This expression doesn't have any denominator, so it's not a rational function.
f(x) = -7x²+2x-5
This is a polynomial function since there's no denominator involved. It's not a rational function.
f(x) = -1+3x-2(x+h)-x²(x+h)-x
This expression involves terms like (x+h) and x², which are not polynomials. Therefore, it's not a rational function.
JL(x) = ²¹-2² +7 +2
This expression is not well-defined. The formatting is unclear, and it's not possible to determine if it's a rational function or not.
f(x) = 5x²-x
This expression is a polynomial function since there's no denominator involved. It's not a rational function.
xy-2y +41-8 / 2y+6-ay-3
Here we have a ratio of two polynomials, xy-2y +41-8 and 2y+6-ay-3. Both the numerator and denominator are polynomials, so this is a rational function.
f(x) = -1
This is a constant function, not involving any variables or polynomials. It's not a rational function.
f(x) = * = +5
The expression is not well-defined. The formatting is unclear, and it's not possible to determine if it's a rational function or not.
In summary, the rational functions among the given expressions are:
Rational function: (xy-2y +41-8) / (2y+6-ay-3)
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What is the area and perimeter of the equilateral triangle? Round your final answer to the nearest tenth of a square unit.
Answer:
In general, the height of an equilateral triangle is equal to √3 / 2 times a side of the equilateral triangle. The area of an equilateral triangle is equal to 1/2 * √3s/ 2 * s = √3s2/4. 2 ways to find the area of a triangle using Pythagorean Theorem? 1. Using Pythagorean theorem. The basic formula for triangle area is side a (base) times the height h , divided by 2: area = (a * h) / 2 2.Using trigonometry. Let's start from the trigonometric triangle area formula: area = (1/2) * a * b * sin(γ) , where γ is the angle between sides.
Answer:
In general, the height of an equilateral triangle is equal to √3 / 2 times a side of the equilateral triangle. The area of an equilateral triangle is equal to 1/2 * √3s/ 2 * s = √3s2/4. 2 ways to find the area of a triangle using Pythagorean Theorem? 1. Using Pythagorean theorem. The basic formula for triangle area is side a (base) times the height h , divided by 2: area = (a * h) / 2 2.Using trigonometry. Let's start from the trigonometric triangle area formula: area = (1/2) * a * b * sin(γ) , where γ is the angle between sides.
If the current age is considered as x, 13 years ago he was x-13 and in 11 years he will be x+11:
Answer:
Therefore, Peter is 21 years old.
Step-by-step explanation:
\(\bf{ x+11=\dfrac{(x-13)^2}{2} \ \Longrightarrow \ 2x+22=x^2-26x+169 }\)
\(\bf{ 0=x^2-28x+147=(x-21)(x+7) }\)
you are an art salesperson whose job is to sell paintings. you sell paintings at art festivals, as well as out of your studio on non- festival days festivals occur once every 20 days and there is independently a 10% chance of a sale on any given day. you also know that half of previous sales have occurred during festivals. if there is a festival what is the probability of a sale?
Sales probability, or sales forecasting, is a process where a company attempts to predict its sales in the future.
How do you find the probability of sales?Opportunity stage forecasting: This method uses the probability of closing deals at each stage of a sales interaction, or the close rate of a company. The formula is "sales forecast = total value of current deals in sales cycle x close rate."Probability determines the likelihood of an event occurring: P(A) = f / N. The formula to calculate gross sales is Total Units Sold x Original Sale Price = Gross Sales.Multiply your estimated units sold by your price per unit and then multiply that result by how many months you projected revenue will cover. This is how much revenue you should expect to bring in for that product or service.Probability is calculated by dividing the number of ways the event can occur by the total number of outcomes. Probability and odds are different concepts. Odds are the probability that something happens divided by the probability that it doesn't happen.We are given that you and a group of friends are going to a five-day outdoor music festival during spring break.Also, Probability that there may be rain on first day, P(A) = 0.15Probability that there may be rain on second day, P(B) = 0.10Probability that there may be rain on third day, P(C) = 0.20Probability that there may be rain on fourth day, P(D) = 0.20Probability that there may be rain on fifth day, P(E) = 0.60It is also provided that these probabilities are independent of whether it rained on the previous day or not.Now, probability that it does not rain during the entire festival = Probability that there may not be rain on all five days
(1 - P(A))*(1 - P(B))* (1 - P(C))* (1 - P(D))* (1 - P(E))
= (1 - 0.15)*(1 - 0.10)*(1 - 0.20)*(1 - 0.20)*(1 - 0.60)
= 0.85* 0.90*0.80*0.80*0.40 = 0.19584
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suppose a finite model for an incidence geometry satisfies the additional axiom: every line has exactly three points lying on it. what is the minimum number of points needed for such a geometry? why?
In an incidence geometry with the additional axiom that every line has exactly three points lying on it, the minimum number of points required is 4.
This is because a line must have at least two-points to exist, and if it has only two points, it is not possible to have another point lying on it (since every line must have exactly three points).
Hence, there must be at least 4-points to create two lines such that each line contains exactly three points.
Also, with 4 points, it is possible to create 6 lines such that each line contains exactly 3 points, forming a configuration known as the Fano-plane, which is the smallest example of an incidence geometry that satisfies the given axiom.
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3 1/2 X 1 2/3 =
what is it?????
Answer:
\(5 \frac{5}{6} \)
Step-by-step explanation:
\(3 \frac{1}{2} \times 1 \frac{2}{3} \\ = 5 \ \frac{5}{6} \)
Convert the fractions to improper fractions.
3 1/2 = 7/2
1 2/3 = 5/3
7x5=35
2x3=6
35/6 or 5 5/6
---
hope it helps
2. Mr. Gardner is going to fence in a rectangular field. If we look at the field from above the cost of the vertical sides are $10/ft, the cost of the bottom is $2/ft and the cost of the top is $7/ft. If he has $700, determine the dimensions of the field that will maximize the enclosed area.
The dimensions of the field that will maximize the enclosed area are 350/9 ft and 17.5 ft.
How to determine the dimensions of the field that will maximize the enclosed area?We have that:
Mr. Gardner is going to fence in a rectangular field.
The cost of the vertical sides is $10/ft, the cost of the bottom is $2/ft and the cost of the top is $7/ft.
Let x be vertical, and y be horizontal of the dimensions. Thus, the linear equation becomes:
700 = 10y + 10y + 7x + 2x
700 = 20y + 9x
Now, solve the above equation for y.
y = (700 - 9x)/20
y = 35 - 0.45x --- (1)
The formula of the area of the rectangle is:
A = xy
Substitute the value of y in the above formula:
A = x * (35 - 0.45x)
A = 35x - 0.45x²
Differentiate the above equation with respect to x and equate to 0.
dA/dx = 35 - 0.9x
35 - 0.9x = 0
0.9x = 35
x = 35/0.9
x = 350/9 ft
Substitute the value of x in equation (1):
y = 35 - 0.45(350/9)
y = 17.5 ft
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"are raw scores that have been mathematically transformed to have a designated mean and standard deviation."
The answer to the question is 'False.'
Raw scores that have been mathematically transformed to have a designated mean and standard deviation are called standardized scores.
Standardized scores are scores that have a mean of 0 and a standard deviation of 1. This means that all standardized scores are expressed in standard deviation units above or below the mean. By using standardized scores, we can compare scores from different tests or distributions that may have different units of measurement or different means and standard deviations. Standard scores are represented by z-scores. Z-scores represent the number of standard deviations from the mean that a particular score falls. Z-scores help in comparing different scores on different scales and determine where a particular score stands in relation to the rest of the scores. A z-score of 0 indicates that the score is at the mean, while a positive z-score indicates that the score is above the mean and a negative z-score indicates that the score is below the mean.
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Where is the midpoint of AB if A(6, 4) and B(5, -2)?
Using the midpoint formula,
M(x3, y3) = [(x1+ x2)]/2, [(y1 + y2)]/2
M(x,y)=[(6+5)/2],[(4-2)/2]
after solving,
M(x,y)= (5.5,1)
Can SOMEONE HELP ME PLEASEEEEE!!! PLEASE PLEASE PLEASE I NEED HELPPPP!!!!
Skating tickets cost $7.95 for adults and $5.00 for students. The Mendes family buys 2 adult tickets and 1 student ticket. They also spend $10 at the concession stand for popcorn and drinks.
Write an expression that could be used to determine the total amount the Mendes family spent.
Answer:
7.95 * 2 + 5.00 + 10
Step-by-step explanation:
What is the formula for finding the slope when given two points?
Answer:
The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know two points that a line passes through, this page will show you how to find the equation of the line.
2x-y=-5
4x+y=2
solve each system of equations
Answer:
2x-y=-5 - - - - - - > 4x-2y= -10
-3y= - 12 - - - - - > y=4
2x -4=-5 - - - - > x= ½
how many faces, edges and vertices does a cone have
Answer:
2 faces, 0 edges, and 0 vertices
Step-by-step explanation:
Pls help I’ll give crown
Answer:
just add up all the squares. answer is 55
Step-by-step explanation:
Please help ill rate 5 stars and give brainlyest
Answer:
Option C.
Step-by-step explanation:
It is given that, a menu at a local diner has
Appetizers = 12
Entrees = 8
Choice of desserts = 4
We need to find the different meal combinations which are possible if you select one appetizer, one entree and one dessert form the menu.
Total ways to select an Appetizers = 12
Total ways to select an entrees = 8
Total ways to select a desserts = 4
Now,
Total combinations for different meal \(=12\times 8\times 4=384\)
Therefore, the correct option is C.
Answer:
see below
Step-by-step explanation:
the answer is c
when formatting data for a one-factor anova analysis the observations for each treatment are typically presented in
A single column, with a second column indicating the treatment group to which each observation belongs. This is known as a "long" format or "stacked" format.
The grouping variable should be a categorical variable and the response variable should be continuous. This format allows for easier analysis and comparison of the means between the treatment groups.
When formatting data for a one-factor ANOVA analysis, the observations for each treatment are typically presented in separate columns or groups. Each column or group represents a different level of the independent variable (treatment), and the rows contain the corresponding dependent variable (observations). This layout allows for easy comparison between the treatments and facilitates the calculation of the ANOVA test.
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Slope intercept Algebra 2.
Use the fact that 1.5 is the same as 3/2 to select all of the equations below that are equivalent toT
The equivalent expressions of T=A^1.5 are: T= (A)^3/2 and T= ((A)^1/2)^3
According to the statement
we have to show that the 1.5 is same as 3/2 are equivalent to T.
So,
Equivalent expressions are expressions with the same value.
The Given expression is
T=A^1.5
we can write it as a
T= (A)^3/2
Because we know that the
1.5 = 3/2
So, it become T= (A)^3/2.
And From
T=A^1.5
we can write it as a
T= ((A)^1/2)^3
because we know that the
3/2 = (1/2)^3.
So, The equivalent expressions of T=A^1.5 are: T= (A)^3/2 and T= ((A)^1/2)^3.
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# 12) Quadrilateral ABCD has the coordinates: A (-5, 2) B (-2, 6) C (3,5) D (0, 1)
a) Sketch the quadrilateral on graph paper
b) Write an equation in y = mx + b form for each of the sides
c) Determine which type of quadrilateral it is using the equations and your sketch to explain
The quadrilateral given is Parallelogram.
What are Quadrilaterals?Quadrilaterals are four sided polygons which also have four vertices and four angles.
Sum of all the interior angles of a quadrilateral is 360 degrees.
(a) The quadrilateral is sketched as shown in the graph below.
(b) We have to write the equation of four lines AB, BC, CD and AD in the form y = mx + b. m is slope and b is intercept along Y axis.
Coordinates of vertices are A(-5, 2), B(-2, 6), C(3, 5) and D(0,1).
Equation of line AB :
Slope = (6 - 2) / (-2 - -5) = 4/3
Equation in point slope form is
(y - 2) = 4/3(x - -5)
y - 2 = 4/3 x + 20/3
y = 4/3 x + 26/3
Equation of line BC :
Slope = (5 - 6) / (3 - -2) = -1/5
Equation in point slope form is,
(y - 6) = -1/5 (x - -2)
y - 6 = -1/5 x - 2/5
y = -1/5 x + 28/5
Equation of line CD :
Slope = (1 - 5) / (0 - 3) = -4/-3 = 4/3
Equation in point slope form is,
y - 5 = 4/3 (x - 3)
y - 5 = 4/3 x - 4
y = 4/3x + 1
Equation of line AD :
Slope = (1 - 2) / (0 - -5) = -1/5
Equation in point slope form is,
y - 1 = -1/5 (x - 0)
y - 1 = -1/5 x
y = -1/5 x + 1
(c) Opposite sides are having the same slope.
From the sketch, opposite sides are equal.
So quadrilateral is either parallelogram or rectangle.
But if the figure is rectangle, adjacent sides are perpendicular and therefore the product of their slope is -1.
But it is not the case here.
So it is parallelogram.
Hence the given figure is a parallelogram.
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Ms. Thompson is baking bread. The recipe calls for 6.5 cups of flour. She has already put in 2 cups.
How many more cups does she need to put in?
Answer:
4.5 cups flour
Step-by-step explanation:
6.5 - 2 = 4.5
Ok so I’m in a timer and I need help.
Answer:
37.68.
Step-by-step explanation:
formula is C = 2 times pi times r
radius is half of diameter so radius is 6.
6 times 2 times 3.14 is 37.68.
PLEASE HELP ASAP!!! WILL MAKE BRAINLIEST!
Answer: Figure B is 2x bigger on all sides
Explanation: You can see that each of the numbers times 2 would equal all of the numbers on B.
If you go twice as fast, will your stopping distance increase by: A. Two times. B. Three times. C. Four times. D. Five times
If you go twice as fast, your stopping distance will increase by four times (option C).
This relationship is based on the laws of physics and the principles of motion.
When an object is in motion, its stopping distance is influenced by its initial speed, reaction time, and braking capabilities. The stopping distance consists of two components: the thinking distance (the distance traveled during the reaction time) and the braking distance (the distance needed to bring the object to a complete stop).
According to the laws of physics, the braking distance is directly proportional to the square of the initial speed. This means that if you double your speed, the braking distance will increase by a factor of four. In other words, going twice as fast will require four times the distance to come to a stop.
It is important to note that this relationship assumes other factors, such as road conditions and braking efficiency, remain constant. However, in real-world scenarios, these factors may vary and can affect the stopping distance to some extent.
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