The tip of the minute hand moves approximately (8/3)π inches in 20 minutes, using the circumference of the circular path it follows and the proportion of the path covered in that time.
Explanation:The student is asking about the distance traveled by the tip of the minute hand of a clock over a 20-minute period. To find the distance, we'll consider the movement of the minute hand as part of a circular path, which is described by the arc length of the circle segment.
The length of the minute hand, which is 4 inches, acts as the radius (r) of the circle. The minute hand completes one full rotation around the clock face in 60 minutes, so in 20 minutes, it covers one-third of a full rotation. We can find the arc length of the minute hand's path using the formula for the circumference of a circle (C = 2πr), multiplied by the fraction of the rotation:
Circumference: C = 2π(4 inches) = 8π inches
Arc Length for 20 minutes: (1/3) × 8π inches = (8/3)π inches
Therefore, the tip of the minute hand moves approximately (8/3)π inches in 20 minutes.
Eliminate the parameter. x = square root of t, y = 3t + 7
Answer:
y = x divided by three + 7
Step-by-step explanation:
i need to know 725 miles in 8 hours miles per hour
divide total miles by time
725/8 = 90.625 miles per hour
4x -y =1
I need to get the variable y by its self.
Match the following items.
1.) 2x + x + 4 = -17
2.) 3x + 4 = -17
3.) 3x = -21
4.) x = -7
Given
subtraction
combine like terms
division
The correct explanation for each expression are;
1. 2x + x + 4 = -17 Given
2. 3x + 4 = - 17 Combine like term.
3. 3x = - 21 Subtraction.
4. x = -7 Division.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 2x + x + 4 = -17
Now, Solve the expression for x by using suitable property as;
⇒ 2x + x + 4 = -17
Combine like term;
⇒ 3x + 4 = - 17
Subtract 4 both side;
⇒ 3x + 4 - 4 = -17 - 4
⇒ 3x = - 21
Divide by 3;
⇒ x = - 7
Thus, The correct explanation for each expression are;
1. 2x + x + 4 = -17 Given
2. 3x + 4 = - 17 Combine like term.
3. 3x = - 21 Subtraction.
4. x = -7 Division.
Learn more about the expression visit:
https://brainly.com/question/28870556
#SPJ5
What is the range of the following relation?
all real numbers
x ≤ 0
y ≤ 0
y ≤ 0
ExplanationRemember that the range is all the possible y-values that the relation can take. We can see in the picture that the repletion is always bellow of the positive y-axis, so the relation can take only negative y-values or zero. In other words, the range of the relation is all the y-values greater or equal than zero, which we represent with the inequality: y ≤ 0. The domain, on the other hand, is all the real numbers; since x can take any value.
Answer:
y ≤ 0 is the correct answer
Step-by-step explanation:
you gots to see it through mah boi
what is the intersection of plane stxw and plane stv
Skylar needs to buy a pair of dress pants for $40, a shirt for $30, and a tie for $20. Skylar has three coupons. The first coupon gives him x percent off on a shirt. The second coupon gives him y percent off on the dress pants. The third coupon gives him z percent off on his total purchase. He cannot combine the coupon for the total purchase with the other two coupons. These expressions give both possibilities for the total cost of Skylar's purchase after the coupons are applied. The variables represent percentages as decimals. (1−x)30+(1−y)40+20 (1−z)(40+30+20) Skylar uses the dress pants coupon. Which part of the expression represents the percent that Skylar will pay for the dress pants?
Answer: Hello there!
As we know, the dress pants cost a total of $40, and we also know that Skylar has a coupon of y percent in the dress pants and a coupon of z percent in the total purchase.
In this problem, the question is:
Skylar uses the dress pants coupon. Which part of the expression represents the percent that Skylar will pay for the dress pants?
Ok, if we have a discount of y percent, (where y is represented as decimals) means that you are paying the total price of something ( the 100%) minus the the decimal y multiplied by the price of the object.
this is: $40 - y*$40 = (1 - y)*$40
then if the dress pants cost $40, and Skylar only uses the dress pants coupon, he will pay (1 - y)*$40 for the dress pants.
After the drama club sold 100 tickets to a show, it had $300 in profit. After the next show, it had sold a total of 200 tickets and had a total of $700 profit. Which equation models the total profit, y, based on the number of tickets sold, x?
a. y – 300 = 4(x – 100)
b. y + 300 = 4(x + 100)
c. y + 300 = 2.5(x + 100)
d.y – 300 = 2.5(x – 100)
HELPPPPPPPPPPP
Answer:
Option a : [tex]y-300 = 4(x - 100)[/tex]
Step-by-step explanation:
Given :
The drama club sold 100 tickets to a show, it had $300 in profit.
The next show, it had sold a total of 200 tickets and had a total of $700 profit.
To Find : Equation models the total profit, y, based on the number of tickets sold, x
Solution :
For 100 tickets he had $300 in profit .
⇒ ([tex]x_{1} ,y_{1}[/tex])=(100,300)
For 200 tickets he had $700 in profit .
⇒ ([tex]x_{2} ,y_{2}[/tex])=(200,700)
We will use point slope form i.e.
[tex]y-y_{1} = m(x - x_{1})[/tex] --(A)
Now, to calculate m we will use slope formula :
[tex]m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]
[tex]m = \frac{700 -300}{200-100}[/tex]
[tex]m =4[/tex]
Now, putting values in (A)
[tex]y-300 = 4(x - 100)[/tex]
Thus Option a is correct i.e. [tex]y-300 = 4(x - 100)[/tex]
How many 2/3
cup servings are there in a 12-cup pitcher of orange juice?
Find the vertical, horizontal, and slant asymptotes, if any, for f(x)= 3x^3-28x^2+54x-24/x^2-8+7
Answer this question please!
A sporting goods store pays $150 for a rubber raft. The percent of markup is 55%. Find the raft’s selling price.
Express in scientific notation. Make sure your answer has the same number of significant figures as the starting value. 1,645.6 = _____
How do you solve this equation?
5 (x+2) = 7 (4 - x)
Complete the data set with one value so that the mean of the data is 13.
10,14,8,16,12,____
The value of another number such that mean remains 13 is 18.
What is mean?The mean is the average of a data set. Mean gives us the idea of that how much amount of overall data have.
Mean = sum of data / Number of data
For example, if you have marks in 5 subjects like 40,45,44,46,48 then the mean will be
( 40 + 45+ 44 + 46 + 48) /5 = 44.6.
Let's say that number is x
Then,
Mean = (10 + 14 + 8 + 16 + 12 + x)/6
(60 + x)/6 = 13
x = 18
Hence "The value of another number such that mean remains 13 is 18".
For more about the mean,
https://brainly.com/question/17060266
#SPJ2
Use the formula m = to calculate the slope of the line.
The slope of the line is .
The slope of the line passing through the points is 2
How to find the slope of a lineThe formula for calculating the slope of a line is expressed as:
m =y2-y1/x2-x1
Given the coordinate points expressed as(2, 8) and (-6, -8). Substitute the given values to have:
m =y2-y1/x2-x1
m =-8 -8/-6-2
M = -16/-8
M = 2
Hence the slope of the line passing through the points is 2
Learn more on slope here: https://brainly.com/question/3493733
The equation of a line is x + 4y = 15.
What is the y-intercept of the line?
415
15
−15
154
Answer:
Option D.
Step-by-step explanation:
Y-intercept form of the equation of a line is given by y = mx + c
Where m = slope of the line
c = y-intercept
Given equation of a line is x + 4y = 15
We will transform this equation into the y intercept form first.
x + 4y = 15
4y = 15 - x
y = [tex]-\frac{x}{4}+\frac{15}{4}[/tex]
Therefore, y - intercept of this equation will be c = [tex]\frac{15}{4}[/tex]
Option D will be the answer.
Describe the transformation of ΔABC.
A) rotation of 90° about the origin
B) rotation of 60° about the origin
C) rotation of 180° about the origin
D) rotation of 270° about the origin
Answer:
Transformation of ΔABC rotation of 180° about the origin .
Step-by-step explanation:
Given : Coordinates of Δ ABC ,=A ( 3,5) , B( 6,1) , C( 0,1) .
Coordinates of Δ A'B'C' = A' ( -3,-5) , B'(- 6,-1) , C'( 0,-1) .
To find :
Describe the transformation of ΔABC.
Formula used : 180° rotation (clock wise and counter clock wise)
( x , y ) -------> ( -x , -y ).
Solution :
A ( 3,5)-------> A' ( -3,-5).
B( 6,1)---------> B'(- 6,-1).
C( 0,1).---------> C'( 0,-1) .
Therefore, the transformation of ΔABC rotation of 180° about the origin .
Describe how to derive the quadratic formula from a quadratic equation in standard form. edginuity
Answer:
The quadratic formula is derived from a quadratic equation in standard form when solving for x by completing the square. The steps involve creating a perfect square trinomial, isolating the trinomial, and taking the square root of both sides. The variable is then isolated to give the solutions to the equation.
Step-by-step explanation:
the formula P=2I + 2w means that the perimeter of a rectangle is equal to twice the sum of its length and its width
Answer:
Step-by-step explanation: simple Answer I got
I=p-2w over 2
Solve the inequality.
-x/4 ≤ 2
A storeowner places a “No Smoking” sign in front of their store. This would be classified as a type of what factor.
Answer:
external pressure
Explanation:
This is the full question:
A sign in front of a store says "No Smoking.” What kind of factor is this sign?
external pressure
internal pressure
media influence
peer pressure
Which is the best estimate of each percent 48% of 199
Find all the real zeros of x3-2x2-5x+6=0.
What is R such that PR : RQ = 2/5
Express as a coordinate
Mrs.Carson pays Kristen $48 for babysitting 6 hours,and Mr.Vaquez pays her $67.50 for babysitting 9 hours,Who pays Kristin the better salary? Explain your answer
One number is 4 more than 3 times another. Four times the larger decreased by 5 times the smaller is equal to the smaller subtracted from 32. Find the numbers
observation often starts the scientific process observation is useful because it helps scientist_____
a) form questions
b) develop opinions
c) summarize data
d) write laws
During a huge snowstorm in the White Mountains last year, it snowed 61.5cm in one day. How much did it snow in meters? Be sure to include the correct unit in your answer.
The snowfall during the snowstorm in the White Mountains was 61.5 cm, which is equivalent to 0.615 meters when converted.
Explanation:To convert the snowfall from centimeters to meters, we need to understand that 1 meter is equivalent to 100 centimeters. With this, to find the snowfall in meters, you simply divide the snowfall in centimeters by 100. So, the snowfall of 61.5 centimeters would be 0.615 meters.
This is because:
1 meter = 100 centimetersTo convert centimeters to meters, divide by 10061.5 cm / 100 = 0.615 metersLearn more about Conversionhttps://brainly.com/question/5561273
#SPJ12
ok guys so i had trouble on this algrebra question for a while if you can help me out thxs so much: Jenny had 2 apples if she added two more how many would she have altogether. Im stuck plz help