If 10 miles is about 16 kilometers and the distance between two towns is 45 miles, use a ratio table to find the distance between the towns in kilometers
If the maximum acceleration that is tolerable for passengers in a subway train is 1.74 m/s2 and subway stations are located 930 m apart, what is the maximum speed a subway train can attain between stations?
To calculate the maximum speed a subway train can reach between stations, given the maximum tolerable acceleration, we use the equation Vmax = sqrt(2 × a × d), resulting in a maximum velocity of approximately 40.21 m/s.
To find the maximum speed a subway train can attain between stations, given a maximum tolerable acceleration for passengers, we need to use the equations for uniformly accelerated motion. Since the train starts and ends at rest at the stations and because the stations are 930 meters apart, we can think of the train's trip as two identical parts: an acceleration phase and a deceleration phase.
Let's denote the maximum speed as Vmax, the acceleration as a, and the distance for each phase as d (half the distance between stations). We have:
Acceleration: a = 1.74 m/s2Total distance to the halfway point: d = 930 m / 2 = 465 mUsing the equation Vmax2 = 2ad, we can solve for the maximum speed (Vmax) as follows:
Vmax = sqrt(2 × a × d)
Substituting the values, we get:
Vmax = sqrt(2 × 1.74 m/s2 × 465 m)
Vmax ≈ sqrt(1617) m2/s2 ≈ 40.21 m/s
Therefore, the maximum speed the subway train can attain between stations is approximately 40.21 m/s.
If you know that a line has a slope of 2/3 and a y-intercept of 7, what is the equation for that line in slope-intercept form?
the equation for a line is y = mx+b
m = slope
b = y intercept
you know the slope is 2/3 and the y intercept is 7 so just replace them in the equation:
y =2/3x +7
what's x^2+3x-3=0 in radical and decimal form
22 1/2 percent to a fraction
22 ½ % is equivalent to 9/40 as a fraction.
To express 22 ½ percent as a fraction, we need to convert the percentage to its decimal form and then simplify.
22 ½ % is equivalent to 0.225 in decimal form (since 22.5% = 22.5/100 =0.225).
Now, to convert the decimal to a fraction, we can write it as 225/1000. To simplify, we can divide both the numerator and denominator by 25:
[tex]\frac{225}{1000}=\frac{9 \times 25}{40 \times 25}=\frac{9}{40}[/tex]
The required answer is 9/40.
3x^2+7x+3
+ 5x^2+12x
Answer:
8x^2+19x
Step-by-step explanation:
Simplify the expression by combining like terms. Terms which look a like and sound a like should be added together.
3x^2+7x+3+5x^2+12x
x^2 terms: 3x^2+5x^2=8x^2
x terms: 7x+12x=19x
constants: 3
Together is is 8x^2+19x+3.
Jon invests $4,100 into an account that pays 5 percent simple interest each year. What is the total balance in the account after 3 years?
How do you write "the difference between twenty and a number and four is six" as an algebraic expression?
PLEASE HELP ME !!
Abigail has $30.00 to buy groceries. She needs to buy some apples, some bananas, and 3 pounds of potatoes. Fuji apples are $1.79 a pound, bananas are $0.36 each, and potatoes are $2.99 for a 3 lb. bag. If a represents the number of pounds of apples Abigail buys and b represents the number of bananas she buys, which expression represents the amount of change she receives after her purchases? Choices are
A. 30.00-a-b
B. 1.79a + 0.36b+2.99
C. 30.00 – (1.79a + 0.36b + 2.99)
D. 30.00 + (1.79a + 0.36b + 2.99)
Answer:
[tex]30-(1.79a+0.36b+2.99)[/tex]
Step-by-step explanation:
Let a represents the number of pounds of apples Abigail buys
Cost of 1 pound of apple = $1.79
So, Cost of a pounds of apple = 1.79a
Let b represents the number of bananas she buys,
Cost of 1 pound of banana = $0.36
Cost of b pounds of banana = 0.36b
Abigail buys 3 pounds of potatoes
Cost of 3 pounds of potatoes = $2.99
So, Total cost = [tex]1.79a+0.36b+2.99[/tex]
Abigail has $30.00 to buy groceries.
So, the amount of change she receives after her purchases=[tex]30-(1.79a+0.36b+2.99)[/tex]
So,Option C is correct.
Hence The expression represents the amount of change she receives after her purchases is [tex]30-(1.79a+0.36b+2.99)[/tex]
Stacy bought a skateboard at a local sporting goods store. The skateboard was on sale for 10% off the original price. The store then charges 10% sales tax.
a. how does the original price compare to the final price?
b. would the final price be different if the 10% sales tax was added first and then the 10% discount was applied to this new amount
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Identify a reflection about the x-axis or a reflection about the y-axis of ƒ(x) = x^4 + x by observing the equation of the function g(x) = x^4 – x.
I think it might be on the y axis
What is the value of ?
John paid $100 for renting a canoe for 5 hours. Which graph shows the relationship between the cost of renting a canoe for different hours?
Answer:
Will be the second choice!
Step-by-step explanation:
This is because for 5hours is 100bucks correct?
So if we divide 5by100 it will equal 20.just like 5x20=10 we add and extra 0!
so 5x20=10.
Need help Identify three solutions of the graph shown
M is the midpoint of CF for the points c(3,7) and f(5,5). Find MF
To find the length of MF, the distance formula is used after calculating the midpoint M of CF with coordinates C(3,7) and F(5,5), resulting in MF being √2 units.
Explanation:The question asks to find the distance MF, where M is the midpoint of segment CF given the coordinates of the points C(3,7) and F(5,5). To find the coordinates of M, we need to use the midpoint formula:
Midpoint formula: M = ((x1 + x2)/2, (y1 + y2)/2)
Using the given points C(3,7) and F(5,5), we get:
M = ((3 + 5)/2, (7 + 5)/2) = (4, 6)
Now, we will use the distance formula to calculate MF:
Distance formula: D = √((x2 - x1)² + (y2 - y1)²)
Since M(4,6) and F(5,5) are the points in question, plugging in these values yields:
MF = √((5 - 4)² + (5 - 6)²) = √((1)² + (-1)²) = √(1 + 1) = √2
So, the length of segment MF is √2 units.
alex has twice as much money as jennifer. jennifer has $6 less than shannon. Together they have 54$. How much money does each have?
To solve this, set up a simple equation where X equals the amount of money Jennifer has. Alex has twice as much, and Shannon has $6 more than Jennifer. Solving the equation shows Jennifer has $12, Alex has $24, and Shannon has $18.
Explanation:Let's define the amounts of money each person has. If Jennifer has X dollars, then Alex has twice as much, which means Alex has 2X dollars. Jennifer has $6 less than Shannon, meaning Shannon has X + $6. If you sum up all their money, it equals $54. So 2X (what Alex has) + X (what Jennifer has) + X + $6 (what Shannon has) equals $54.
This can be simplified to 4X + $6 = $54. When you subtract $6 from each side, you get 4X = $48. Next, you divide each side by 4 to solve for X, which leads to X = $12.
Jennifer has $12, Alex has 2*$12 = $24, and Shannon has $12 + $6 = $18.
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Olivia's work and solution to the equation -6x+ 11 =43 is shown. identify each error in Olivia's work and explain what she should have done instead . please help
-6x + 11 = 43
+ 11 +11
-6x =54
-6x/6 = 54/6
x =9
LITERALLY THE MOST HARDEST QUESTION TO EVER EXIST ON THIS PLANET AND QUITE POSSIBLY THIS DIMENSION IF DIMENSION QARPING WAS EVEN POSSIBLE LIKE IN RICK AND MORTY!
if f(x)=1/2 x-2 what is the value of f(4)
Answer:
all you got 2 do is plug in 4 for the value of x.
Step-by-step explanation:
Lavonne has 4/5 cup of blueberry muffins requires 1/3 cupof blueberrys how many batches of blueberry muffins can lovonne make
Cindy is preparing for a 25-mile charity run hosted by her school's Athletic Club on their home track. In preparation for the run, Cindy has been running in 25-lap sets, recording her lap times as she goes. Cindy feels that she is very well prepared for the run. Looking at her scores, she can see that at least 75% of them are 90 seconds or better, with some as good as 82 seconds. But, she also knows that she has a couple of poor times, one as low as 102 seconds, that will make her total time a bit worse. To further analyze her lap times, Cindy would like to organize them in a box-and-whisker plot. Which of the following plots is most like what Cindy should expect to see, based on what she already knows?
The right line is a translation of the left line 4 units to the right. Drag the left line and try to move it on top of the right line. Are these lines the same? What does this mean about how a line changes when you translate it?
yes they are the same.
A line does not change when translated
Yes, the lines are same.
Here,
The right line is a translation of the left line 4 units to the right and Drag the left line and try to move it on top of the right line.
What is translation?
A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
Clearly,
Line is not change when it translate.
So, the line are the same even though the right line is translation of the left line 4 units to the right. The function moves the line a certain distance. The line is not altered in any way so thus the lines are the same.
Hence, the lines are same.
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A man was scuba diving to look for coral reef in the ocean. He descended at a rate of 3 meters per minute. If he continued for 10 minutes, has far below the water’s surface would he be?
George's page contains twice as many typed words as Bill's page and Bill's page contains 50 fewer words than Charlie's page. If each person can type 70 words per minute, after one minute, the difference between twice the number of words on Bill's page and the number of words on Charlie's page is 220. How many words did Bill's page contain initially?
What is the approximate value of x?
Answer:
The answer is 17.
Step-by-step explanation:
Let the number plotted be x.
The point plotted on number line is slightly more than 4.
And this number is the square root of x.
We know that [tex]\sqrt{16}[/tex] is 4.
And the given point is close to 4 or square root of 16.
So, the best possible and closest answer is 17.
The square root of 17 is 4.123.
Therefore, the answer is 17.
Simplify. 14+4(12−34)2 Enter your answer in the box.
Answer:1/4+4(1/2−3/4)^2
Step-by-step explanation Its supposed to be a fraction but when you copy and paste it won't allow it to be fraction. Answer is 1/2
The ratio of boy to girls in a class is 3 : 2. there are 15 boys in the class. how many total boys and girls are in the class?
a.15
b.23
c.25
d.35
the answer is c. 25
expalnation: A 3:2 ratio can be used in a proportion.
3/2=15/girls, girls =15*2÷3=10.
10÷15=25
Find the coordinates of the midpoint of the segment with the given endpoints a (5,4), b (-3,2)
The Sum of 3 consecutive integers is 1,623
divide 1623 by 3
1623 / 3 = 541
now subtract 1 from that
541-1=540
then add one to 541, 541+1 = 542
540 + 541 + 542 = 1623
the numbers are 540, 541, 542
The camera shop wants to use the measure of central tendency that expresses how successful they are in selling camaers which measure of central tendency should they chosse
Let P be a point between points S and T on 2004-01-01-02-00_files/i0120000.jpg. If ST = 21, SP = 3b – 11, and PT = b + 4, solve for b.