Answer:
i may be wrong but i thinks its A
Step-by-step explanation:
192 miles per 6 gallons
This is really head to so try yo best
???
soooo..........whats ur question
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.
Help pleasseeeeeeeeeeeeeeeeeeer
Answer:
4
Step-by-step explanation:
8/12 simplifies to 4/6. so x needs to be 4 for it to work
write an equation in point slope form to represent a line that passes through the points (-6,-14) and (12,16)
Answer:
y + 14 = 3/5(x + 6)
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:
27. Use Structure Use the table at the right. Yolanda is planning a party that will take place in three rooms. a. Write an expression that can be used to represent the total amount Yolanda will need to rent all three rooms and the sound system for t hours. b. How can you use a property to write a simplified equivalent expression?
Answer:
25t+95 or 5(5t + 19)
Step-by-step explanation:
The total of the sound fee = $25
The total of the rental fee = $95
Write is as an equation and you can get 25t + 95 or 5(5t + 19)
can someone help me?
Answer:
I hope this helps!
Step-by-step explanation:
1. M is .25
b is 20
so
y= .25x+20
2. y= 3x+2
X + 8 =-12
ale
Soy unni
w
Answer:
x=-20
Step-by-step explanation:
x+8−8=−12−8
x=−20
Answer:
The answer is -20
Step-by-step explanation:
X+8=-12
You subtract 8 from the left the the right side of the equal sign.
This leaves: X=-20
The reason is, when you subtract a negitive from a negitive you add them together given that they have the same + or - sign. In this case, they are both negitive.
12+8 equals 20
But because it's negive you have to add them together.
I will mark. please!!!
Answer: what ever is -10 1/2
Step-by-step explanation:
Because its the lowest negative there and yea!
Answer:
-4 1/2 because that's the lowest number
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
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!
Please help!!! Use equivalent ratios to find the unknown value
Answer:
24/27=8/9
Step-by-step explanation:
Does any one want to hear a joke?
Answer:
yes pls my life is boring
Step-by-step explanation:
Of the relations graphed below, three are functions and one is not.
Which of the relations is NOT a function?
4 graphs. Graph A is a curved line, graph b is horizontal, vertical, and then horizontal, graph C is a line with positive slope, graph D is a parabola.
Answer:
vertical line
Step-by-step explanation:
If it is possible to draw any vertical line (a line of constant x) which crosses the graph of the relation more than once, then the relation is not a function.
Answer:
the answer is b
Step-by-step explanation
First to answer gets a brainliest! (everything is in the photo)
Answer:
It is ( D )
Step-by-step explanation:
Have a good day
Measuring the Wind Speed of a HurricaneWhen measuring the wind speed of a hurricane or similar storm, meteorologists don’t want to get hit by flying debris. They use a measure available to them in the comfort of their TV studio. Luckily for the meteorologists, the barometric pressure is linearly related to the wind speed.Suppose scientists compared the wind speeds and barometric pressure readings of two severe storms over the Atlantic Ocean. For one of the storms, the barometric pressure was 1,000 mb (millibars), and the maximum wind speed was 100 kmh (kilometers per hour). The second had a barometric pressure of 960 mb and maximum wind speeds of 180 kmh. (a)Develop a rule that you could use to predict the wind speed given any barometric pressure.(b)Use your rule to predict the wind speed of a hurricane with a barometric pressure of 980 mb. Using what you know about linearity, explain why your prediction is reasonable. (c)Interpret the intercept for wind speed in this context (i.e., as it pertains to the weather).(d)Explain the meaning of slope in this context.
Answer:
So i found the teacher notes after hours of looking here are the exact answers so i would recommend changing the wording.
Part A: Ordered pairs in the form (mb, kmh): (1,000, 100) and (960,180) Let X be the barometric pressure and Y be the wind speed.
Slope= (180-100)
---------------- = -2
(960-1000)
Formula: y=-2(x-1000)+100
Part B: y=-2(980-1000)+100=140
140 kmh is reasonable. Because 980 mb is halfway between 960 mb and 1000 mb, we should expect a wind speed halfway between 180 kmh and 100 kmh.
Part C: The wind speed intercept is (0,2100) [or (2100,0) if written that way.] This means that when brometric pressure is 0 mb, then the wind speed would be 2100 kmh. However in the context of real weather, this is an impossible situation.
Part D: The slope means that every decrease of 2 kmh in wind speed corresponds to a 1 mb increase in barometric pressure.
hoped this helped :)
Please help!!! Look at picture
Given: -3(2x + 7) = -29 - 4x; Prove: x = 4
1. -3(2x+7)=-29-4x
2. -6x-21=-29-4x
3. -2x-21=-29
2. 17
4.
-2x=-8
3. 18
4. 19
5. 20
5.
X=4
1
Answer: 1: Given
2: Distribution
3: Subtraction
4: subtraction
5:division
Step-by-step explanation:
5) A firm has $30,000 in a bank account at the beginning of the year. Interest will be paid at a rate of 2% at the end of the year. How much interest will the firm receive for the year?
Answer:
10%
Step-by-step explanation:
10% i think
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.
How are you feeling about your understanding of slope and the graph of a line?
A.
I've got this down!
B.
I get most of it, but I need some practice.
C.
I kind of get it, but I still have some questions.
D.
I'm totally lost and will need help moving forward with this.
This doesn't seem like a academic question. The teacher is simply asking you how if you understand slope and graph of a line. Answer this of your own.
5th grade math. Correct answer will be marked brainliest.
Answer: 1,285, 1,282, 1,278
Step-by-step explanation:
Answer:
1,285, 1,282, 1,278
Step-by-step explanation:
Anyone please help ???? Hurry
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
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
a machine can make 56 parts in 4 hours. it can also make 70 parts in 5 hours. which rates could you use to write an equation of the form y= kx that represents the number of parts y the machine can make in x hours? A. 70 parts / 4 hours B. 70 parts / 5 hours C. 56 parts / 4 hours D. 56 parts / 5 hours
Answer: 82
Step-by-step explanation:
You add them all
Answer: The answer is C and D
Step-by-step explanation:
The amount a hardware store pays for buying nylon rope is represented by the equation y = 0.08x, where 'y' is the price it pays for 'x' feet of rope. The amount the hardware store charges for selling the rope is represented by the graph. Part A What does the slope of the graph show about the hardware store's selling price for the rope?
Answer:
0.025 $/in.
The store bought 300 ft of rope.
1 ft = 12 in.
300 ft * 12 in./ft = 3600 in.
The store bought 3600 inches of rope.
The store sells 40 inches of rope for $1.60. We can find the selling unit price of rope in dollars per inch.
($1.60)/(40 in.) = $0.04/in.
The store sells the rope at a price of $0.04 per inch.
The store sold all the rope at $0.04/in.
3600 in. * $0.04/in. = $144
The store sold all the rope for $144.
The profit was $54 for selling ll the rope.
$144 - $54 = $90
The bought the rope for $90.
The cost is dollars per inch is
($90)/(3600 in.) = 0.025 $/in.
Step-by-step explanation:
The slope tells for every one-foot increase in the amount of rope sold, the hardware store increases the selling price by $0.08.
The slope of the graph represents the rate of change between the hardware store's selling price (y-axis) and the quantity of nylon rope sold (x-axis).
In this case, the slope is given as 0.08.
Interpreting the slope:
A slope of 0.08 means that for each additional foot of nylon rope the hardware store sells (x increases by 1), the selling price (y) increases by $0.08.
This indicates a linear relationship between the quantity of rope sold and the selling price.
In other words, for every one-foot increase in the amount of rope sold, the hardware store increases the selling price by $0.08.
Learn more about Slope here:
https://brainly.com/question/3605446
#SPJ4
What two integers does Square root of 50 fall between?
An insect is 3 inches (in.) long. What is the length, to the nearest hundredth of a centimeter (cm), of the insect? Note: 1 inch = 2.45 centimeters
1 point
Answer:
find actual dimensions from scale models, ... \begin{align*}\frac{2}{3}\end{align*}, 2:3, and "2 to 3" are ratios. ... The unit scale on a map may read \begin{align*}\frac{1}{2}\ inch=100 ... A line 4 inches long would represent an actual line of 800 feet. ... Color, Highlighted Text, Notes ...
Step-by-step explanation:
I think that can help :) wanna chat add me as friend
Many counties in Texas missed many school days in the fall of 2017 due to hurricanes
that year. A solution for how to make up those
days was to add time to each school day
for a portion of the year. It was decided that in order to make up a 6 hour school day, 10
minutes would be added to each day. How many extended days would be needed to
make up 3 school days?