Complete Question
The diagram for this question is shown on the first uploaded image
Answer:
The position of the emitter is [tex]E = + 72.9 \ cm\ from\ the\ center [/tex]
The position of the stone is [tex]S = - 72.9 \ cm\ from\ the\ center [/tex]
Step-by-step explanation:
From the question we are told that
The length is l = 178 cm
The width is w = 102 cm
Generally the position of the stone along the horizontal axis is mathematically evaluated as
[tex]h = \frac{178}{2}[/tex]
=> [tex]h = 89 \ cm [/tex]
Generally the position of the emitter along the vertical axis is mathematically evaluated as
[tex]k = \frac{102}{2}[/tex]
=> [tex]k = 51 \ cm [/tex]
Generally the resultant position of both stone and the emitter is
[tex]R = \pm \sqrt{h^ 2 - k^2}[/tex]
=> [tex]R = \pm \sqrt{89^ 2 - 51^2}[/tex]
=> [tex]R = \pm 72.9 \ cm [/tex]
Hence the position of the emitter is [tex]E = + 72.9 \ cm[/tex]
the position of the stone is [tex]S = - 72.9 \ cm[/tex]
Is this a function? Explain
Answer:
Yes
Step-by-step explanation:
The only reason a graph will not be a function is if it doesn't pass the vertical line test. In other words, if you draw a vertical line at any point, it will never pass through more than 1 point.
In that case, that is true, so it must be a function.
the mean number of goals scored is 2.5.
the mean number of away goals scored is 1.8.
How many home and away games have been played in total?
Answer:
2 games.
Step-by-step explanation:
2.5 + 1.8 = 4
4 divided by 2 = 2
Total 32 games home and away games have been played.
What is the mean?The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.
From the bar chart :
We can obtain the total number of goals scored :
Home goals (quarter 1 to quarter 4) :
= (9 + 6 + 8 + 7)
= 30
Away goals (quarter 1 to quarter 4) :
= (2 + 7 + 4 + 5)
= 18
Using the relation :
Mean goals scored = total goals scored / number of games played
Home games :
Mean goals = 2.5
Number of home games played = total goals scored / mean goals
= 30 / 2.5
= 22
Away games :
Mean goals = 1.8
Number of away games played = 18 / 1.8
= 10
Therefore, number of home and away games played in total = 22 + 10 = 32 games
To learn more about the mean;
brainly.com/question/13451489
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Se reparten 7/9 de pizza entre 4 niños. ¿Que fracción de la pizza le toca a cada uno?
Find the range of the function f(x) = 9x − 17 for the domain {1, 3, 5}.
Answer:
range is -8,10,28
Step-by-step explanation:
9(1)-17=-8
9(3)-17=10
9(5)-17=28
Hope this helps
Determine the domain, range and whether each table represents a function.
==========================================================
Explanation:
The domain is the set of all possible x values. The range is the set of all possible y values.
Since we don't have any repeated x values, we have a function. Any given input x leads to exactly one y output value. Visually plotting the points leads to the graph passing the vertical line test, which shows the relation is a function.
Solve for n.
4/7 x n = 14
Answer:
[tex]n = \frac{49}{2x}[/tex]
Step-by-step explanation:
1) Simplify [tex]\frac{4}{7}[/tex] xn to [tex]\frac{4xn}{7}[/tex]
[tex]\frac{4xn}{7}[/tex] = 14
2) Multiply both sides by 7.
4xn = 14 × 7
3) Simplify 14 × 7 to 98.
4xn=98
4) Divide both sides by 4.
[tex]xn = \frac{98}{4}[/tex]
5) Simplify [tex]\frac{98}{4}[/tex] to [tex]\frac{49}{2}[/tex]
[tex]xn = \frac{49 }{2}[/tex]
6) Divide both sides by x.
[tex]n = \frac{49}{2} / x[/tex]
7) Simplify [tex]\frac{49}{2} /x[/tex] into [tex]\frac{49}{2x}[/tex]
[tex]n = \frac{49}{2x}[/tex]
what is (3,0) reflected on the y-axis
Reflecting across the y axis, the x value becomes opposite and the y value remains the same.
(3,0) becomes (-3,0)
Answer:
(-3, 0)
Step-by-step explanation:
There is the same amount of units from either side of the y-axis to the points.
Which one is the right answer?
Answer:
angle 2 is 35 degrees
angle 3 is 55 degrees
Answer:
(below)
Step-by-step explanation:
since angles 3 + 4 are a right angle (90 degrees) 90 - 35 = 55. so, m of angle 3 = 55 degrees
1 is a right angle. so, m of angle 1 = 90 degrees
if all interior angle of a triangle add up to 180, angle 2 must equal 35
و please tell me what the slope is
Answer: slope = 6
Step-by-step explanation:
Slope is rise over run.
Find two perfect points and see how many up/down you go and how many left/right you go.
On this one, you go up 6, right 1.
6/1 is 6.
Hope this helps!
Answer:
6
Step-by-step explanation:
m=y2-y1/x2-x1
take two points from the graph (0, -1) and (1, 5)
5-(-1)=6
1-0=1
6/1=6
hope this helps :3
describes the end behavior of the graph.
Answer: B) [tex]+\infty[/tex]
=================================================
Explanation:
As x goes to positive infinity, we're moving forever to the right.
If we have a point on the curve, then the point will move to the right and it will also move upward forever.
So as [tex]x \to \infty[/tex] we have [tex]y \to \infty[/tex]
Because y = f(x), this is the same as saying [tex]f(x) \to \infty[/tex]
The notation [tex]+\infty[/tex] is the same as [tex]\infty[/tex]
In terms of words, we can say "the curve rises to the right" to describe the end behavior on the right.
In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the first day of the experiment the mass of the substance was 800 grams and mass was decreasing by 13% per day. Determine the mass of the radioactive sample at the beginning of the 12th day of the experiment. Round to the nearest tenth (if necessary).
Choose the equation of the horizontal line that passes through the point (2, 3). (1 point)
A.X= 2
B.x = 3
C.y=2
D.y = 3
Answer:
the answer is A, x=2
Step-by-step explanation:
Help mehh please
Alaina has $28 in her account. She wants to purchase a pair of shoes that costs $45. If Alaina makes the purchase, which integer will represent the amount of money in Alaina’s account?
–73
–27
–23
–17
Answer:
The real answer is -17, do the math.
Step-by-step explanation:
28 - 45= -17
28 + 17 = 45
45 - 28 = 17
Find the area of the rectangle contained within the following four lines
x =1, x = -2 , y= -3, y=2
How do you do this please help with this question pleaseeeeeee if you give good explanation I will make you brain list thing. This is a linear relation ship question. PLEASE HELP WITH THIS QUESTION
Answer:
should be 15 hope I helped you out.
Step-by-step explanation:
Answer:
15 sq unit
Step-by-step explanation:
Easiest way to understand this question is to plot the lines on the graph which will give you a rectangle with four sides at given points.
the length of the said rectangle will be l = 1 + (-2)
and the breath b = 2 + (-3)
Area= lxb = 15 sq.unit
What is the lcm of 12 & 9 pls help im in class and i dont have a clue
Answer:
36 is the lcm of this question
True or false a function can sometimes be a relation ?
Answer:
Step-by-step explanation:
banana cheese salad with cheese on top
Step-by-step explanation:
question is notcorrect
Answer:
[tex]x<-5[/tex]
Step-by-step explanation:
[tex]4-x<9[/tex]
Subtract 4 to both sides
[tex]x<-5[/tex]
Hope this helps and pls do mark me brainliest if you can:)
write an expression for a number that is 5 times greater than 2
For pre-algebra class
Please help thanks i need it thanks a lot for helping me thank you alot
Answer:
x = 5x > 2
or just 5x > 2 ya its that
Step-by-step explanation:
HELPPP
Given h(x) = 2x + 2, solve for x when h(x) = 4.
Answer:
x = 1
Step-by-step explanation:
2x + 2 = 4
2x = 2
x = 1
How many 1-foot-square border tiles do you need to surround a pool that is 10 feet long and 5 feet wide
subtract (6+5i)-(9-3i)
(Simplify your answer. Type your answer in the form a+bi)
Answer:
-3+8i
Step-by-step explanation:
The product of Greg's height and 5 is 90
Answer:
450
Step-by-step explanation:
is the answer
I need help pls , Solve: 5a + 4 = 19
5a+4=19 this is the equation to solve for a 5a=19-4
5a=15
a=15÷3
a=3
Alex wrote checks on Tuesday for $35 and $40. He also made a deposit in his checking account of $170. Find the overall change in the amount in his checking account.
Answer: He retrieved 75$ from his account then he put back 170$ so +75 and -170 so in total the answer would be 245$
Answer: He would have $100 in his bank account from the information provided .
Use the bar model to add these fractions
Answer:
I don't understand the question but 5 would be close to 0 10 would be beside 5 15 will be beside 10 20 will be close to 15 30 will be next to 60
In one football game, a team scored 24 points with a combination of six-point touchdowns, three-point field goals, and one-point "extra points." They made 2 more touchdowns than field goals, and 3 times as many "extra points" as field goals. Let x be the number of touchdowns, y be the number of field goals, and z be the number of "extra points." Write a system of equations that can be solved to find how many touchdowns, field goals, and "extra points" the team made. Do not solve your system.
Given:
Total score = 24 points
They made 2 more touchdowns than field goals, and 3 times as many "extra points" as field goals.
To find:
The system of equations for the given problem.
Solution:
Let x be the number of touchdowns.
y be the number of field goals.
z be the number of "extra points."
Total score is 24 points. So,
[tex]x+y+z=24[/tex]
They made 2 more touchdowns than field goals.
[tex]x=y+2[/tex]
They made 3 times as many "extra points" as field goals.
[tex]z=3y[/tex]
Therefore, the required system of equation is
[tex]x+y+z=24[/tex]
[tex]x=y+2[/tex]
[tex]z=3y[/tex]
its a geo match to the ? type thing
Solve for x in the equation x squared minus 4 x minus 9 = 29
Answer:
x=5
Step-by-step explanation:
4x-9=29
4x=29-9
4x=20
x=20/4
x=5
i need help i will mark
Answer:
[tex]-34.[/tex]
Step-by-step explanation:
[tex] - {4}^{2} + (5 - 2)( - 6) = \\ 16 + 18 = \\ -34. \\ \\ ♨Rage♨[/tex]
Once the child in the sample problem reaches the bottom of the hill, she continues sliding along the flat, snow-covered ground until she comes to a stop. If her acceleration during this time is -.392m/s^2 how long does it take her to travel from the bottom of the hill to her stopping point
Sample problem is;
A child slides down a steep, snow covered hill with an acceleration of 2.82 m/s². Her initial speed is 0.0 m/s² and her final speed is 15.5 m/s travelling from top to bottom of the hill.
Answer:
t = 39.54 s
Step-by-step explanation:
We are told that her acceleration is now -0.392 m/s²
Thus; a = -0.392 m/s²
From the sample problem, we have;. Initial velocity = 0 m/s
Final velocity = 15.5 m/s
However, in this question, we want to find the time from the bottom of the hill to her stopping point.
This means her initial velocity will now be; u = 15.5 m/s and final velocity since she will come to rest will be v = 0 m/s
To find the time it takes her to travel from the bottom of the hill to her stopping point, we will use Newton's equation of motion and so, we have;
v = u + at
making t the subject, we have;
t = (v - u)/a
t = (0 - 15.5)/(-0.392)
t = 39.54 s