Answer:
20m-3
Step-by-step explanation: hope that helps :)
2+29m−9m−5
=2+29m+−9m+−5
Combine Like Terms:
=2+29m+−9m+−5
=(29m+−9m)+(2+−5)
=20m+−3
The standard height from the floor to the bull's-eye at which a standard dartboard is hung is 5 feet 8 inches. A standard dartboard is
18 inches in diameter.
Suppose a standard dartboard is hung at standard height so that the bull's-eye is 11 feet from a wall to its left.
Samuel throws a dart at the dartboard that lands at a point 11.5 feet from the left wall and 5.5 feet above the floor.
Does Samuel's dart land on the dartboard?
Answer:
Yes, Samuel dart does land on the dart board
Step-by-step explanation:
The given parameters are;
The height from the floor to the bulls eye = 5 feet 8 inches
The size of the standard board = 18 inches diameter
The distance of the bulls eye from the wall to the left = 11 feet
The distance the dart Samuel throws land from the left wall = 11.5 feet
The distance above the ground, the dart Samuel throws land = 5.5 feet
Whereby Samuel throws the dart directly at the dartboard, we have;
The location of the bulls eye = (11, 5.67)
The equation of the circle representing the dart board = (x - 11)² + (y - 5.67)² = 0.75² = 0.5625
The unit of the radius is in feet
The position of Samuel's dart is represented by the coordinate, (11.5, 5.5)
Plugging in the coordinates of the position of Samuel's dart into the equation of the circle of the dart board gives;
(11.5 - 11)² + (5.5 - 5.67)² = 0.2789 ≈ 0.528²
Therefore, given that the square of the distance of the position of Samuel's dart is less than the square of the radius of the dart board, we have;
Yes, Samuel dart does land on the dart board.
From the parameters given to find out if Samuel's dart landed on the dartboard, we can say that;
Samuel's dart does not land on the dartboard.
We are given;
Height from the floor to the bulls eye = 5 ft 8 in = 5.67 ft
Diameter of the standard dartboard = 18 in = 1.5 ft
Thus, radius; r = 1.5/2 = 0.75 ft
Distance of the bulls eye from the wall to the left = 11 ft
Distance of dart thrown by Samuel from the left wall = 11.5 ft
Height of dart thrown by Samuel above the ground = 5.5 ft
We know that general equation of a circle is;
(x - a)² + (y - b)² = r²
Since Height from the floor to the bulls eye is 5.67ft,then a = 5.67 ft
And also since Distance of the bulls eye from the wall to the left = 11 ft, then b = 11 ft
Thus;
(x - 11)² + (y - 5.67)² = 0.75²
(x - 11)² + (y - 5.67)² = 0.5625
Now, since he throws a dart at the dartboard that lands at a point 11.5 feet from the left wall and 5.5 feet above the floor. Thus;
r² = (11.5 - 11)² + (5.5 - 5.67)²
r² = 0.2789
r² of 0.2789 gotten here is lesser than 0.5625 gotten earlier, we can conclude that Samuel's dart does not land on the dart board.
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Pls help ASAP for BRAINLIEST
Answer:
-5
Step-by-step explanation:
h(-2)=3(-2)+1
= -6+1
= -5
hope this help you!! :))))))
just had a brain spat. help?
Answer:
6
Step-by-step explanation:
First you multiply both sides by 3. Than you simplfiy. Next you add 24 to both sides. Simplify. Finally you divide both sides by 12 & simplify. Which should give you 6.
(Answer = 6)
Answer:6
Step-by-step explanation:
Add -7d - 3 and 10d - 6. Show all steps.
Answer:
[tex]3d - 9[/tex]
Step-by-step explanation:
[tex](-7d - 3)+(10d - 6)\\-7d - 3 + 10d - 6\\-7d + 10d -3 - 6\\3d - 9[/tex]
two in 1 more points
Answer:
Your photo wont show up
Step-by-step explanation:
Answer:
Hello
1. B. 2.35 * 10^11
2. A. 3 * 10^-2
On Monday, you run treadmill for 1/2 hour at x miles per hour. On Tuesday, you walk the same distance on the treadmill, at 2 mph slower, and it takes you 3/4 hour.
How many miles did you run on the treadmill on Monday?
Distance = rate * time
Let r = rate
Distance is the same for both runs, so:
.5r = D = 3/4(r - 2)
Distribute (and convert .5):
2/4r = 3/4r - 3/2
Subtract 3/4 r from both sides:
-1/4r = -3/2
Multiply both sides by -4 to get a solitary r:
r = -3 * -4 / 2
r = 3 * 2
r = 6 miles per hour
.5 hours * 6 mi/hr = 3 miles
check:
6 - 2 = 4
3/4 hours * 4 mi/hr = 3 miles
Please help! I'm in a hurry
Answer:
the answer is 62
Step-by-step explanation:
you take 180 and subtract 118
Answer:
The answer should be 62, but i'm not positive so correct me if i'm wrong!
Explanation:
What I did is i added 118 and 118 then subtracted 360 by the sum. After that I divided the result by two which gave me 62, and I am almost sure that is the answer, but like I said i'm not positive. :)
A blouse that is size x in country A is size s(x) in country B, where s(x)x. A blouse that is size x in the country B is size t(x) in country C, where t(x)x. Find a function f(x) that will convert blouse sizes in country A to blouse sizes in country C.
Answer:
f(x) = [k(x): x = s(x) = t(x)]
Step-by-step explanation:
To make the question clearer, rewrite;
A blouse that is size x in country A is size s(x) in country B.
s(x) = x
A blouse that is size x in country B is size t(x) in country C.
t(x) = x
Find a function f(x) that will convert blouse sizes in country A to blouse sizes in country C.
f(x) = [k(x): x = s(x) = t(x)]
Interpretation:
f of x is equal to k of x such that x is equal to s of x which is also equal to t of x.
Where the other blouse sizes are represented by k(x) or as a function of the given size x.
Point AAA is at {(1, 5)}(1,5)left parenthesis, 1, comma, 5, right parenthesis and point CCC is at {(-5,-7)}(−5,−7)left parenthesis, minus, 5, comma, minus, 7, right parenthesis. Find the coordinates of point BBB on \overline{AC} AC start overline, A, C, end overline such that ACACA, C is 666 times as long as ABABA, B.
Answer:
(0, 3)
Step-by-step explanation:
If a point O(x, y) divides a line XY in the ratio n:m with [tex]X\ at\ (x_1,y_1)\ Y\ at\ (x_2,y_2)[/tex], the coordinates of O is:
[tex]x=\frac{n}{n+m} (x_2-x_1)+x_1\\\\y=\frac{n}{n+m} (y_2-y_1)+y_1[/tex]
AC is 6 times AB, this means that point B, divides line AC in the ratio 1:5. Given A at (1,5) and C at (-5, -7)
Let us assume B to be at (x, y), hence:
[tex]x=\frac{1}{1+5}(-5-1)+ 1=\frac{1}{6}(-6)+1 =0\\\\y=\frac{1}{1+5}(-7-5)+5=\frac{1}{6} (-12)+5=3[/tex]
Therefore the location of B is (0, 3)
Answer:
(0, 3)
Step-by-step explanation:
-6x =48
need help urgently
Answer:
x = -8
Step-by-step explanation:
Divide each side by -6 to cancel out the -6 next to x. It should now look like this: x = -8I hope this helps!
[tex]→-6x =48[/tex]
[tex]step \: by \: step \: explanation:[/tex][tex] \implies{- 6x = 48}[/tex]
[tex]\implies \: x = \frac{48}{ - 6 } [/tex]
[tex] \blue{\implies \: x = - 8}[/tex]
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;
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#SPJ2
Jane baked the kinds of fruit bars shown in the table below.
Kind of Fruit Bar Number
Apple
51
Peach
36
Plum
84
Part A
Jane wants to make baskets of the fruit bars, and she wants to divide each kind of fruit bar equally among the baskets. What is the maximum number of baskets can she make?
Answer:
I THINK the answer is 57
Step-by-step explanation:
Add 51 + 36 + 84
Divide 171 by 57
57 is the most that can go into 171 evenly.
Select ALL graphs that do NOT represent a function.
Answer:
3 and 5
Step-by-step explanation:
If you do the vertical line test those ones do not pass. The vertical line test is the test you do to see if it is a function. You draw a vertical line and if that line crosses the graphed line only once it is a function.
someone please help me with this! please write out the steps as well, thank you!
Answer:
60°
140°
Step-by-step explanation:
From the given figures,
a. we use the concept of alternate angles.
Two parallel lines cut by a transversal will have equal alternate angles;
So;
6x + 12 = 7x + 4
collect like terms and solve for x;
6x - 7x = 4 - 12
-x = -8
x = 8
Now, 6x + 12 = 6(8) + 12
= 48 + 12
= 60°
b. Here we use alternate angles and angles on a line;
4x is an alternate angle to that angle to the left of 13x + 10
And sum of angles on a line = 180
4x + 13x + 10 = 180
17x = 170
x = 10
Now, 13x + 10 = 13(10) + 10 = 140°
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.
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.
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
· Yolanda deposited $3,547 into an account that earns 4.5%
simple annual interest. Calculate the interest Yolanda will earn
after 6 years. How much will Yolanda have in her account after 6
years?
Answer:
$4,504.69
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
the function f(x) is shown in this graph
the function g(x) = -6x -5
Answer:
C.
Step-by-step explanation:
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.
Can somebody please help?
Answer: C
Step-by-step explanation: I could tell just by looking at the first two, they’re negative
A teacher uses the function G(x) = -3x + 100 to calculate a student's grade, G(x), on a test if the student misses x questions on the test. Which statement best descebes the slope of the function? Show complete working format please
Answer:
then it would 50 no? i first divided 100 from x and game me 100x and then since i knew that 2 plus 3 is 5 and if i add a 0 then it would make 50
Step-by-step explanation:
What is the slope of line that passes through the points -2,4 and 1,-1
Answer:
-5/3
Step-by-step explanation:
-2 to 1 =3 x=3
4 to -1=5 y=-5
y/x slope=-5/3 or -1 2/3
In the expression 3x2y + 4x – 5x2y, are the terms 3x2y and –5x2y like terms? Explain by providing support for your answer.
Answer:
yes
Step-by-step explanation:
These are like terms because they have the same variables and powers. The coefficients do not need to match for it to be considered a like term.
Answer:
Sample Response: Yes, they are like terms because like terms have the same variables raised to the same powers. Both terms contain an x and y variable with the x variable squared.
Step-by-step explanation:
Carlos has saved $19.80. Shaq saved 5/6 of the amount that Carlos saved. Deontae saved 4 times as much as shaq. What is the total saved amount of all threw
HELP PLS (picture below)
C
Because it will equal 5,260 but all the other are bigger
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
PLEASE HELP ANYONE:))
Answer:
3 million dollars
Step-by-step explanation:
i just did this and got it right
Order these in descending order (greatest to least). 1 is the greatest. 2 is the middle. 3 is the least.
Answer:
3/20 then 0.015 then 0.15%
Step-by-step explanation:
3/20 then 0.015 then 0.15%
3/20 is 0.15
0.15% is .0015
0.015 is 0.015