A particle takes 5 × 10^7 sec of time to travel a distance of 9.0 × 10^12 meters at a rate of 1.8 × 10^5 meters.
What is speed?
Speed indicates how quickly something or someone is moving. If one knows how far something has travelled and how long it took to get there, then one can calculate its average speed.
The particle travels at a rate of 1.8 × 10^5 m.
The particle travels a distance of 9.0 × 10^12 m.
Let the time taken for the particle to travel be x.
The formula for calculating the distance traveled by the particle is -
distance = rate × time
time = distance/rate
Plugging in the values in the equation -
x = 9.0 × 10^12/1.8 × 10^5
x = 9.0/1.8 × (10^12-5)
x = 5 × 10^7 sec
Therefore, the time taken by the particle to travel is 5 × 10^7 sec.
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Decide if the following biconditional statement
is true or false:
An angle is a right angle if and only if the angle
measures 90 degrees.
True
False
Last week, a dairy farm produced n kg of cheese.
The dairy farm also produced 30 kg more yoghurt than cheese and 4 times
as much ice cream as cheese.
The dairy farm produced more kilograms of ice cream than yoghurt last
week.
Write and solve an inequality to work out the possible values of n.
Answer:
The dairy farm produced 30 + n kg of yoghurt, where n is the number of kilograms of cheese produced.
The dairy farm also produced 4n kg of ice cream, where n is the number of kilograms of cheese produced.
Since the dairy farm produced more kilograms of ice cream than yoghurt, we can write the following inequality:
4n > 30 + n
Subtracting n from both sides gives us:
3n > 30
Dividing both sides by 3 gives us:
n > 10
Therefore, the possible values of n are any value greater than 10, such as 11, 12, 13, 14, and so on.
Step-by-step explanation:
What is a 3 variable equation called?
Equations with three variables that are linear. Ax + by + cz = r is referred to as a linear equation in three variables.
what is linear equation ?A linear equation is one that has the form y=mx+b in algebra. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.
given
equations with three variables that are linear. Ax + by + cz = r is referred to as a linear equation in three variables if all four variables—a, b, c, and r—are real values and not equal to 0.
(The x, y, and z are the "three variables"). The coefficients of the equation are designated by the numerals a, b, and c.
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1. 12x^2 +2xy
2. 21ab^2 +35ab
3. w^2+15w+ 14
4. m^2-12m+20
5. 2k^2+5k-3
6. -r^2-5r-6
7. 8y^2+26y+15
8. -2d^2-7d-5
9. (h+6)(h-4)=0
10. s^2-7s+12=0
11. -2d^2-7d-5
Answer:
1. 12x^2 +2xy
Step-by-step explanation:
1. 12x^2 +2xy
2. 21ab^2 +35ab
3. w^2+15w+ 14
4. m^2-12m+20
5. 2k^2+5k-3
6. -r^2-5r-6
7. 8y^2+26y+15
8. -2d^2-7d-5
9. (h+6)(h-4)=0
10. s^2-7s+12=0
11. -2d^2-7d-5
13. The number of pictures your printer
can print are shown in the table. Find
the rate in pictures per minute.
Minutes 2 4 6
8
Pictures 16 32 48 64
15.
16
Answer: The table shows the number of pictures that a printer can print at different intervals of time (measured in minutes). To find the rate in pictures per minute, we need to divide the number of pictures printed by the number of minutes it took to print them.
For example, at 2 minutes the printer printed 16 pictures. The rate of pictures printed per minute is 16 pictures / 2 minutes = 8 pictures/minute.
Similarly, at 4 minutes the printer printed 32 pictures. The rate of pictures printed per minute is 32 pictures / 4 minutes = 8 pictures/minute
And, at 6 minutes the printer printed 48 pictures. The rate of pictures printed per minute is 48 pictures / 6 minutes = 8 pictures/minute.
And, at 8 minutes the printer printed 64 pictures. The rate of pictures printed per minute is 64 pictures / 8 minutes = 8 pictures/minute.
From this it can be seen that the printer has a constant rate of 8 pictures per minute, independent of the number of minutes, it is producing 8 pictures/min.
The value 15 is not related to the table, so it's not the rate, and 16 is not the rate either, it is the number of pictures printed at 8 minutes.
Step-by-step explanation:
The cost for bowling includes $4.00 for shoes and $4.75 for each
game bowled. Which equation represents the amount, in dollars, y,
for x games bowled?
Answer:
y = 4.75x + 4
Step-by-step explanation:
it would be $4.75 for each game and you would only pay for shows once
The equation that represents the amount, in dollars, y,
for x games bowled is y = 4.00 + 4.75x
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
The cost for bowling includes a fixed cost of $4.00 for shoes, and an additional cost of $4.75 for each game bowled.
y = 4.00 + 4.75x
This equation can be interpreted as follows: the fixed cost of $4.00 is added to the variable cost of $4.75 per game, multiplied by the number of games bowled (x).
The result is the total cost, represented by y
Therefore,
The total cost for x games bowled can be represented by the equation:
y = 4.00 + 4.75x
where y is the total cost in dollars, and x is the number of games bowled.
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Is -3 less than or greater then -8
answer:
yes, -3 is greater than -8
explanation:
-3 is closer to the 0 on a number line making it greater
hope this helped!
Graph the image of square KLMN after a translation 6 units left and 4 units up.
The coordinates of the image of the square KLMN are:
K = (0, -1)
L = (2, -1)
M = (2, 1)
N = (0, 1)
The graph of the image is given below.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
The coordinates of the square KLMN are:
K = (6, -5)
L = (8, -5)
M = (8, -3)
N = (6, -3)
Now,
Translation of 6 units left and 4 units up.
This means,
K = (6 - 6, -5 + 4) = (0, -1)
L = (8 - 6, -5 + 4) = (2, -1)
M = (8 - 6, -3 + 4) = (2, 1)
N = (6 - 6, -3 + 4) = (0, 1)
Thus,
The image of the square KLMN will be on the following coordinates.
K = (0, -1)
L = (2, -1)
M = (2, 1)
N = (0, 1)
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PLS HELP ME
Step-by-step explanation:
I'm not sure what has infinite x-intercepts
Trei stilouri și patru creioane costă 35 lei, iar cinci stilouri și două creioane costă 49 lei. Ce rest va primi Maria de la 100 lei , dacă va cumpăra 4 stilouri și 5 creioane?
Answer:
english?
Step-by-step explanation:
Hello. Need some help: (put all answers into one comment)
1. If you add 5 to me and then divide by 9, you get 3. what number am I?
2. Equation: 21 ÷ 7 = 3. Write a related multiplication sentence.
3. During Their football season, the Kickerton Kangaroos had a combined total of 16 fumbles. each of the 8 players had the same amount of fumbles. how many fumbles did each player have?
4. If you multiply me by 7, then subtract 2, and then divide by 6, you get 9. what number am I?
Answer:
1. 22
2. 7*3=21
3. 2
4. 8
Step-by-step explanation: (I am not sure what level math you are as you put HS but I used simple algebra in my answers)
1. Using algebra I put the missing variable as x.
"add 5 to me" is x+5.
"divide by 9, you get 3"
[tex]\frac{x+5}{9}[/tex] = 3
Begin solving by multiplying 9 to the 3 on the other side
x+5 = 27
Subtract 5 to get x by itself
x = 22
2. An equivalent multiplication sentence can be found using algebra.
21 ÷ 7 = 3 can be rewritten as [tex]\frac{21}{7} =3[/tex]
Using algebra we know if we multiply 7 onto both sides we end up with
7*3=21
3.
Combined total of 16 fumbles
8 players
Same amount of fumbles
How many fumbles per player?
I would draw this out. You have 8 players and 16 fumbles to allocate to them. You can draw tallies and allocate them to each player. You'll find that the first time they all have the equal amount is when they all have 1 fumble. The next time they all have an equal amount they'll have 2 per and all 16 will be used.
4. Algebra
[tex]\frac{x * 7 - 2}{6} =9[/tex]
First is multiplication: x*7 = 7x
[tex]\frac{7x - 2}{6} =9[/tex]
Then division: Multiply the 6 over because we don't like fractions
[tex]{7x - 2} = 54[/tex]
Next we add the 2 over
[tex]{7x } = 56[/tex]
Then divide by 7 to solve for x
x=8
Solve your equation using trail and improvement. A number plus ten times its square root is is equal to one thousand
Answer:
[tex]x \approx 729[/tex]
Step-by-step explanation:
Given
Let the number be x
So:
[tex]x + 10\sqrt x = 1000[/tex]
Required
Using trial and improvement, find x
This implies that we keep guessing the values of x until we get a value that match the equation.
Let
[tex]x = 625[/tex]
So, we have:
[tex]x + 10\sqrt x = 1000[/tex]
[tex]625 + 10 *\sqrt{625}[/tex]
Take the square root of 625
[tex]625 + 10 *\sqrt{625} = 625 + 10 *25[/tex]
[tex]625 + 10 *\sqrt{625} = 625 + 250[/tex]
[tex]625 + 10 *\sqrt{625} = 875[/tex]
Let
[tex]x = 729[/tex]
So, we have:
[tex]x + 10\sqrt x = 1000[/tex]
[tex]729 + 10 * \sqrt{729}[/tex]
Take the square root of 729
[tex]729 + 10 * \sqrt{729} = 729 + 10 * 27[/tex]
[tex]729 + 10 * \sqrt{729} = 729 + 270[/tex]
[tex]729 + 10 * \sqrt{729} = 999[/tex]
At this point, we can conclude that x is approximately 729 because
[tex]999 \approx 1000[/tex]
So:
[tex]x \approx 729[/tex]
Clare Lee is paid a basic wage of $8.00per hour for a 4O-hour week and $9.60 per hour for overtime work. Last week Clare worked 48 hours. What was her total wage for the week
2) If 50% of the people in Salmiya prefer Arab Times, 30% prefer Wataniya and the remaining prefer other newspapers, then what percentage of the people prefer other newspapers? If the total number of people are 50000, find the exact number who prefer each type of newspaper.
Therefore, 25000 people prefer Arab Times, 15000 people prefer Wataniya, and 10000 people prefer other newspapers.
Define percentage.A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Define Fraction.Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.
For the percentage of people who prefer other newspapers are:
100% - 50% - 30% = 20%
So, 20% of the people in Salmiya prefer other newspapers.
Multiply the percentage of people who prefer each type of newspaper by the total number of people in Salmiya (50000):
Arab Times: 50% * 50000 = 25000 people
Wataniya: 30% * 50000 = 15000 people
Other newspapers: 20% * 50000 = 10000 people
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Pls help
Solve by substitution.
6x +Зу = 15
x – 2y = 10
Answer:
y=5 , x= 20
Step-by-step explanation:
6x + 3y = 15
x - 2y = 10
make x subject of the formula in equation two
therefore x = 10 - 2y
substitute the value of x in equation one
6 ( 10 - 2y) + 3y = 15
60 - 12y + 3y = 15
-9y = -45
y = 5 and x = 20
Answer:
{x,y} = {4,-9}
Step-by-step explanation:
// Solve equation [1] for the variable y
[1] y = -6x + 15
// Plug this in for variable y in equation [2]
[2] -7x - 2•(-6x+15) = -10
[2] 5x = 20
// Solve equation [2] for the variable x
[2] 5x = 20
[2] x = 4
// By now we know this much :
x = 4
y = -6x+15
// Use the x value to solve for y
y = -6(4)+15 = -9
Solution :
{x,y} = {4,-9}
i need help on both sections PLEASE!!!
Answer:
Step-by-step explanation:
a.3x-2
b.3x+2
c.3x-2
d.3x-2
so. the answer are a, c, d equivalent to 3x-2
please help! you will get brainliest
Answer:
the answer is 1.33333333333
Theater tickets sold for $7.50 on
the main floor and $, in the
balcony. The total revenue was
$3250, and there were 100 more
main-floor tickets sold than
balcony tickets. Find the number
of each type of ticket sold.
(in Substitution method)
Cant figure the work out :/
passes through (6,6) and (-2,2)
Answer: 1/2 is the slope.
Step-by-step explanation: (-2-6)/(2-6) = -8/-4
-8/-4 Simplified is 1/2
Therefore 1/2 is your slope
Hope this helps!
Amanda increased the amount of protein she eats every day from 50 g to 54 g. By what percentage did Amanda increase the amount of protein she eats?
Answer:Amanda increased the amount of protein she eats by 8%
step-by-step explanation:
Initial amount of protein consumed == 50g
Increase in the amount of protein consumed the next day=54 g-50 g =4g
Percentage increase in the amount of protein she eats as the day goes by = Increase/ initial amount consumed x 100
=4/ 50 x 100
=8%
Why do chairs have legs?
Answer:
cuz they are chairs
Step-by-step explanation:
Answer:
Chairs have legs so we would not fall.
Step-by-step explanation:
For the function Y= X +4 what is the output value if three is the input value
Answer: 7
Step-by-step explanation:
1. You need to know that the input value means the x-value, which means x = 3.
2. Input 3 in the function
3. Solve 3+4
4. 3+4 = 7
Answer:
put y=4 then four comes with- and 4-3=2
Find the measure of the indicated angle to the nearest degree.
Answer:
? ≈ 20°
Step-by-step explanation:
using the cosine ratio in the right triangle
cos ? = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{16}{17}[/tex] , then
? = [tex]cos^{-1}[/tex] ( [tex]\frac{16}{17}[/tex] ) ≈ 20° ( to the nearest degree )
Which statement best describes the function?
A. The function is negative when x<0
B.the function is negative when x<0 and when x>0
C. The function is never negative
D. The function is negative when x>0
Therefore ,Because the function lies above the x-axis for values of x > 0, it is positive. So, choice D is the right one.
What is function?Each x value in the domain has one but only one y value
range, according to the rule of a function. Definition. If there is only one and only one value of x such that f(x) = y, then the function is one-to-one.
Here,
It is discovered that the right answer is provided by: D using function ideas. If x is zero, the function is negative.
The graph is positive if it is located above the x-axis.
A negative graph is one that is located below the x-axis.
The graph of the function in this issue is shown by the red line, and:
The function is negative for x values less than 0 since it is below the x-axis.
Therefore ,Because the function lies above the x-axis for values of x > 0, it is positive. So, choice D is the right one.
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z+9 < 24
solve for z
pls help
Answer:
z < 15
Step-by-step explanation:
z + 9 < 24
z + 9 - 9 < 24 - 9
z < 15
Answer:
z < 15
Step-by-step explanation:
To solve for z, you need to isolate it on one side of the equal sign, or in this case, the < sign.
If you subtract 9 from the left side of the equation, z will be alone. But whatever you do to one side you have to do to the other. So subtract 9 from 24 as well and you get z < 15
I need help I been asking for hours pls help
Answer:
419 ft
Step-by-step explanation:
1063 ft is about 324002.4 mm
324002.4/477 to get the scale ratio. Which is 679.25:1
I am halfway through the problem and notice I should have converted mm to ft and not the other way around. It gives the same answer it just takes an extra step.
188*679.25=127699mm for one side.
Convert that back to ft and you get 418.959 which would just be 419 ft
Answer:
419 ft
Step-by-step explanation:
convert ft to mm: 1063 ft ≈ 324002.4 mm (I just used g00gle)
324002.4/477 ≈ 679.25, the real Eiffel tower is ≈ 679.25 times larger
188 x 679.25 = 127699 mm
convert mm to ft: 127699 mm ≈ 418.96 ft ≈ 419 ft
2
The scores of seven people playing a card game are listed below.
56, 103, 114, 80, 141, 68, 150
What is the interquartile range of the scores?
OA. 35
OB. 73
O C. 102
OD. 94
Answer:
B. 73
Step-by-step explanation:
An explanation is in the picture if you need it.
The circular region of the sign (below, left) has an area of 154 square inches. Vanessa would like to place a tiny ribbon (shaded) around the circle's edge. To be sure she has enough ribbon, she decides to buy 2 inches more of the ribbon than the original circle's circumference. How many inches of ribbon will Vanessa need to buy if she estimates $\pi = 22/7 ?
Vanessa needs to buy 2*(22/7)sqrt(1547/22) + 2 inches of ribbon.
What is the area of circle?
The area of a circle is given by the formula: A = πr^2, where A is the area of the circle, π is a constant (approximately equal to 3.14) and r is the radius of the circle.
Given the area of the circular region is 154 square inches. We can use the formula to find the radius: 154 = πr^2
By substituting π = 22/7 we get:
154 = (22/7)r^2
Solving for r, we get:
r = sqrt(154*7/22)
The circumference of the circle is given by the formula C = 2πr, where C is the circumference and r is the radius.
By substituting the value of r we got before, we get:
C = 2πr = 2*(22/7)sqrt(1547/22)
To be sure she has enough ribbon, Vanessa decides to buy 2 inches more of the ribbon than the original circle's circumference. So she needs to buy:
C + 2 = 2*(22/7)sqrt(1547/22) + 2 inches
Hence, Vanessa needs to buy 2*(22/7)sqrt(1547/22) + 2 inches of ribbon.
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Can u sovle 32^3/5 for me please
Answer:
6553.6
Step-by-step explanation:
32^3 = 32 x 32 x 32 = 32768
32768 / 5 = 6553.6
Answer:
6,553.6
Step-by-step explanation:
32^3/5=6,553.6
Hope this helped!!
Bella was here :)
At the book sale, all books cost less than $5. What is the most expensive a book could be? Write an inequality to represent the costs of books at the sale.
Answer:
x<5
Step-by-step explanation:
mark me brainliest
All book are LESS THAN 5 dollars. Therefore all prices (x) have to be less that 5 hence x<5
Answer:
The most expensive a book could be is $4.99
The inequality to represent the costs of books at the sale is c < 5