Answer:
im guessing it will take 3 hours to get to -1 F
Step-by-step explanation:
The town of gettysburg, PA, plans to shoot a live cannon as part of their annual Gettysburg Civil War Battle Reenactment. The organizers want to make sure that when they fire the cannon, it lands in a location that does not injure any participants or spectators. The slope of the field they are firing into can be represented by the equation y=0.15x. Let x represent horizontal distance, and y represents vertical distance.. if the cannon fires the cannon ball at an arc denoted by the equation y=-0.5x^2+2.5x+1, at what distance will the cannonball land.
-I know i'm supposed to set -0.5x^2+2.5x+1=.15x and use distance formula BUT I KEEP GETTING DIFFERENT ANSWERS.
Answer:
The cannonball lands at approximately 5.093 unit distance from the point of fire
Step-by-step explanation:
The given parameters are;
The arc denoting the equation of motion of the cannon is y₁ = -0.5·x² + 2.5·x + 1
The slope of the field where in the direction the cannon is fired is y₂ = 1.5·x
The points where the cannonball land on the slopping field is given as rightly pointed by equating the two equations, the cannonball path path and the field path as follows;
At the point of contact of the cannonball and the field, the y-values of both equation will be equal
y₁ = y₂
∴ -0.5·x² + 2.5·x + 1 = 0.15·x
Which gives;
-0.5·x² + 2.5·x - 0.15·x + 1 = 0
-0.5·x² + 2.35·x + 1 = 0
-(-0.5·x² + 2.35·x + 1) = 0.5·x² - 2.35·x - 1 = 0
0.5·x² - 2.35·x - 1 = 0
The above equation is in the general form of a quadratic equation, which is given as follows;
a·x² + b·x + c = 0
By the quadratic equation, we have;
[tex]x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex]
Plugging in the values, gives;
[tex]x = \dfrac{2.35\pm \sqrt{(2.35)^{2}-4\cdot (0.5)\times (-1)}}{2\cdot (0.5)} = \dfrac{2.35\pm \sqrt{7.5225}}{1} =2.35 \pm \sqrt{7.5225}[/tex]
∴ x ≈ 5.093 or x ≈ -0.393
Therefore, the cannonball will takeoff at x ≈ -0.393 and land at x ≈ 5.093
The height from which they fire the cannon is given by the substituting the value of x ≈ -0.393 into the equation for the path of the cannonball, to give;
[tex]y_{(initial)}[/tex] = -0.5·(-0.393)² + 2.5·(-0.393) + 1 = -0.0597
[tex]y_{(initial)}[/tex] ≈ -0.0597.
However, the actual initial height from which the cannonball is fired given by placing x = 0, which gives y = 1, which is the reason for the other (negative) value for x. Please see the attached graph created with Microsoft Excel.
What is the simplest radical form of the expression? Will mark brainliest
(x4y7)34
Answer:
40
Step-by-step explanation:
Write the equation of the line, in slope-intercept form, with the following information slope:1/5 point: (20,-5)
Answer:
y = 1/5x - 1.
Step-by-step explanation:
Slope intercept form: y = mx + b
in this equation, the m is the slope (the amount the line moves vertically divided by the amount it moves horizontally from one point to another) and the b is the y-intercept (meaning where the line meets with the y-axis when graphed).
So, m is equal to 1/5 because that is the slope.
Now, to find b (the y-intercept), I am going to plug in the coordinate values of the point (20,-5) into the equation.
The 20 is the x coordinate and the -5 is the y-coordinate because the point is written in (x, y) form.
Here's how it looks with everything plugged in:
-5 = 1/5(20) + b.
The slope-intercept form is y = mx + b, and I just plugged in my values where
y (y-coordinate)= -5
m (slope)= 1/5
x (x-coordinate) = 20
Now that I know everything, I just need to solve for b, the y-intercept:
-5 = 1/5(20) + b.
-5 = 4 + b (simplified)
-1 = b
so, the y-intercept is -1.
Now, in slope-intercept form, the answer is: y = (1/5)x - 1.
hope this helped <3
8a+5 = 7b+4 = 5c + 2
Answer:
a= -5/8
b= -4/7
c= -2/5
Step-by-step explanation:
8a + 5 = 7b + 4 =5c + 2
I'm not sure what you want with this incomplete question, but I assume it's to find the values of a, b, and c.
Therefore, to find the value of a,
8a+5=0
8a= - 5
a= -5/8
7b + 4=0
7b = - 4
b= -4/7
5c + 2=0
5c= - 2
c= -2/5
Therefore, the values of a, b, and c are -5/8, -4/7 and -2/5
8. A music store bought a CD set at a cost of $20. When the store sold the CD set, the percent markup
was 140%. What is the markup?
A. $28
C. $2.80
B. $48
D. $2,800
Answer:
I think B ... not sure though
Step-by-step explanation:
tell me if I'm wrong.. TwT
help pls i’ll give 70 points and mark brainlest
Answer:
2 times 4 equals eight and minus nine which will
be -1
Step-by-step explanation:
A shortcut would ensure a safer reaction. A shortcut may provide a faster reaction. A reaction with a shortcut would yield more chemical output. A reaction with a shortcut would require less chemical input.
Answer: the first one
Step-by-step explanation:
Answer:
What is the benefit of using a shortcut in a reaction between two chemicals?
A shortcut would ensure a safer reaction.
Step-by-step explanation:
What the answer to this asap
Answer:
? is 24
Step-by-step explanation:
Answer:
? = 24
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{?}{18}[/tex] = [tex]\frac{20}{15}[/tex] ( cross- multiply )
15? = 360 ( divide both sides by 15 )
? = 24
Write the equation in slope-intercept form through the point (4, -1) and is perpendicular to the line y = x + 2 and graph
Answer:
The equation in slope-intercept form through the point (4, -1) and is perpendicular to the line y = x + 2 is: y=-x+3
Step-by-step explanation:
Given equation of line is:
[tex]y = x+2[/tex]
Comparing it with the general form of equation of line in slope-intercept form
[tex]y = mx+b[/tex]
The slope of given line is 1 as the co-efficient of x in the equation is 1.
When two lines are perpendicular, the product of their slopes is -1
Let m1 be the slope of new line
Then
[tex]m.m_1 = -1\\1.m_1 = -1\\m_1 = -1[/tex]
The equation of new line perpendicular to given line will be:
[tex]y = m_1x+b[/tex]
Putting the value of m1
[tex]y = -x+b[/tex]
To find the value of b, the given point will be put into the equation
So,
[tex]-1 = -(4)+b\\-1 = -4+b\\-1+4 = b\\b = 3[/tex]
The final equation of line is: y = -x+3
Hence,
The equation in slope-intercept form through the point (4, -1) and is perpendicular to the line y = x + 2 is:
[tex]y = -x+3[/tex]
Graph:(Attached)
The graph is made using the online graphing tool "Desmos". The red line in the graph represents the line y = x+2 and the blue line represents the line (y=-x+3) perpendicular to given line
5)Ten less than 6 times a number is greater than or equal to 2 more than twice the number.
Answer:
6n-10 >= 2+2x2
Step-by-step explanation:
Answer:
Step-by-step explanation:
6x - 10 ≥ 2x + 2 Subtract 2x from both sides
6x-2x - 10 ≥ 2x - 2x +2 Combine
4x - 10 ≥ 2 Add 10 to both sides
4x - 10+ 10 ≥ 2 + 10 Combine
4x ≥ 12 Divide by 4
4x/4 ≥ 12/4 Combine
x ≥ 3
Let H(x) be the percent of U.S. households with Internet use x years after 1980. Match each statement with its meaning.
1. H(23)=55
2. H(4)=k
3. H(27)≥61
4. H(17)+H(21)≈H(29)
Options-
(in the picture)
Answer:
H(23)=55 - 55% of U.S households had internet use in 2003.
H(4)=k - k% of U.S households had internet use in 1984.
H(27)≥61 - At least 61 percent of U.S households had internet use in 2007.
H(17)+H(21)≈H(29) - The sum of the percents of U.S. households with internet use in 1997 and 2001 is about the same as the percent of U.S. households with internet use in 2009.
Step-by-step explanation:
I have no idea how to explain, oh well.
From the function, the correct interpretations are:
1. 55% of U.S. households had internet use in 2003.
2. k% of U.S. households had internet use in 1984.
3. At least 61% of U.S. households had Internet use in 2007.
4. The sum of the percents of U.S households with Internet use in 1997 and 2001 is the same as the percent of U.S households with Internet use in 2009.
---------------------------
The function H(x) represents the percentage of households with Internet in x years after 1980, thus x is the number of years after 1980 and H(x) is the percentage of households with internet in year 1980 + x.
1. H(23)=55
1980 + 23 = 2003, thus 55% of U.S. households had internet use in 2003.2. H(4)=k
1980 + 4 = 1984, thus k% of U.S. households had internet use in 1984.3. H(27)≥61
1980 + 27 = 2007, thus: At least 61% of U.S. households had Internet use in 2007.4. H(17)+H(21)≈H(29)
Following the same logic as previous items, as considering that the output is a percentage: The sum of the percents of U.S households with Internet use in 1997 and 2001 is the same as the percent of U.S households with Internet use in 2009.A similar problem is given at https://brainly.com/question/24242199
5 increased by half a number is 11
Answer:
12
Step-by-step explanation:
let the unknown number is x.
As said in the question, we add half of x to 5 and their sum equals to 11.
steps:
write the equation.do the L.C.M.transfer 2 to the other side of the equal signkeep x as the subject and do the subtraction on the other side of the equal sign[tex]5 + \frac{1}{2}x = 11\\\frac{10+x}{2} = 11\\10 + x = 22\\x = 22-10\\x = 12[/tex]
Help! Plz!
What reflections map the figure onto itself?
The reflections that map the figure onto itself are Ra and Rb where a = and b =
9514 1404 393
Answer:
a = mb = nStep-by-step explanation:
The axes of symmetry are shown and labeled m and n. Reflection across either (or both) axis of symmetry will map the figure to itself. Apparently, you want to designate those reflections as ...
Ra . . . where a = m
Rb . . . where b = n
Answer:
hope this pic helps enjoy
Which line is perpendicular to y=1/3+9
Answer: The perpendicular slope is [tex]-3[/tex]
Step-by-step explanation:
Find the perpendicular slope (the negative reciprocal of [tex]\frac{1}{3}[/tex]):
[tex]-3[/tex]
Is y = IxI a function? Explain.
Answer:
It is a function because there is one y value for any x value, and it passes the VERTICAL line test. Horizontal line test is for checking if it is one-to-one, which will tell you if the inverse is a function or not.
The length of a room is 2 1/2 feet more than its width. If the perimeter of the room is 80 feet, find its width and length?
Answer:
The width is 20.625 and the length is 19.375
Step-by-step explanation:
Let 2 1/2 + w = length
Let w = width
Equation:
2 1/2 + w + w = 80 Combine liked terms
2 1/2 + 2w = 80
-2 1/2 -2 1/2 Subtract 2 1/2 from both sides
2w = 77.5
÷ 2 ÷ 2 Divide 2 from both sides
w = 41.25
Length:
2 1/2 + 41.25 = 165/4 or 38.75
Width:
41.25
41.25/2 = 20.625
38.75/2 = 19.375
A line is to be graphed through the point
(–3, 0).
A coordinate plane with a point at (negative 3, 0).
Which points can be used to create a line with an undefined slope through (–3, 0)? Check all that apply.
(–5, –3)
(–3, –6)
(–3, 2)
(–1, 0)
(0, –3)
(3, 0)
Answer:
B and C
Step-by-step explanation:
Answer:
B/C
Step-by-step explanation:
i just did it :)
Please help!!! Use equivalent ratios to find the unknown value
Answer:
24/27=8/9
Step-by-step explanation:
The dry ingredients in a chocolate cake recipe are 2 cups of flour, 3/2 cups of sugar, and 3/4 cup of cocoa. How many cups of dry ingredients are in the cake mix?
Answer: There are four and one-fourth cups of dry ingredients are in the cake mix.
Step-by-step explanation:
Given: Quantities of dry ingredients for cake:
2 cups of flour, [tex]\dfrac32[/tex] cups of sugar, and [tex]\dfrac34[/tex] cup of cocoa.
Total cups of ingredients used = [tex]2+\dfrac32+\dfrac34[/tex]
[tex]\dfrac{2\times4+3\times2+3}{4}\\\\=\dfrac{8+6+3}{4}\\\\=\dfrac{17}{4}\\\\=\dfrac{16+1}{4}\\\\=4\dfrac14\text{ cups}[/tex]
Hence, there are four and one-fourth cups of dry ingredients are in the cake mix.
Which expression would be easier to simplify if you used the associative property to change the grouping?
A. ( 50 + 50 ) + 63
B. ( 43 + 60 ) + 40
C. ( 2/5 + 3/5 ) + 7/3
D. [ - 14 + ( - 26 ) ] + 67
Answer:
probably A
Step-by-step explanation:
712 ÷ 74 is equal to _____.
3
7 3
1 3
7 8
Answer:
9.62162162162
Step-by-step explanation:
Use a calculator dude
Answer:
7 3
Step-by-step explanation:
PLEASE HELP I HAVE NO IDEA 1. How can square trinomials difference of square binomials some of cubes and differences of cubes identify for factoring?
Answer:
square trinominals??????????
Step-by-step explanation:
i hope it can help u a bit
The other two special factoring formulas you'll need to memorize are very similar to one another; they're the formulas for factoring the sums and the differences of cubes. Here are the two formulas:
Factoring a Sum of Cubes:
a3 + b3 = (a + b)(a2 – ab + b2)
Factoring a Difference of Cubes:
a3 – b3 = (a – b)(a2 + ab + b2)
Kona’s mother realized that her age is the difference of Kona’s age squared and four. If k represents Kona’s age, which expression represents Kona’s mother’s age?
k squared minus 4
k cubed minus 4
k squared + 4
k cubed + 4
Answer:
k squared minus 4/ A
Step-by-step explanation:
took the test
Answer:A. k squared minus 4
Step-by-step explanation:
What is 50% of 50? Use a diagram to show your work. Draw a diagram to help you.?
Answer:
25.
Step-by-step explanation:
50% = 1/2 and 1/2 of 50 is 25. so 50% is 25.
Answer:
The answer is 25.
Step-by-step explanation:
This is actually very simple but other percentages would be harder. 50% s the same as 1/2 or 0.5. all you have to do is divide 50/2 which is 25. 25 is 50% of 50.
If this helped I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
The cylinder shown has a lateral surface area of about 60sq in. Which answer is closest to the height of the cylinder? Use 3.14 to approximate pi
Answer:3.2 inch
Step-by-step explanation:
We have the following data:
Al (lateral surface area) = 80 in²
R (ratio) = 4 in
h (height) = ? (in inches)
Adopt : π ≈ 3.14
We apply the data to the formula, we have:
Answer:We have the following data:
Al (lateral surface area) = 80 in²
R (ratio) = 4 in
h (height) = ? (in inches)
Adopt : π ≈ 3.14
We apply the data to the formula, we have:
Answer:
≈ 3.2 inches
________________________
≈ 3.2 inches
________________________
LESS THAN 5 MIN!!! WILL GIVE BRAINLIEST
Raise to the power:
(–xn)^4
Answer:
x^4n^4
Step-by-step explanation:
Answer:
[tex]n^{4} x^{4}[/tex]
I really hope this helps!
Anyone please help ???? Hurry
Given the graph below, which of the following represents the domain of the function?
A car travels 355 miles in 5 hours. How many miles did they travel per hour?
Answer:
71 miles in 1 hour
Step-by-step explanation:
divide the total amount of miles by the total amount of hours: 335/5
you get 71 mph
Answer:
71 miles per hour
Step-by-step explanation:
355 divided by 5 is 71
71 x 5 = 355
355 divided by 71 is 5
PLEASE HELP I DONT WANT TO FAIL
A rollercoaster rises 160 feet into the air before dropping 190
feet. What is the height of the rollercoaster
Answer:
190
Step-by-step explanation:
27686+05446535
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