Answers
Answer:
<
Step-by-step explanation:
Related Questions
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.
Answers
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.
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.
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.
First to answer gets a brainliest! (everything is in the photo)
Answers
Answer:
It is ( D )
Step-by-step explanation:
Have a good day
Calculate the side lengths a and b to two decimal places.
Answers
Answer:
Can confirm, it’s a=16.23 and b=17.99
8a+5 = 7b+4 = 5c + 2
Answers
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
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?
Answers
⚠️PLEASE HELP FAST⚠️ Camie and Jorge each begin saving money
for a new computer. Camie saves $5 per
week plus $50 she receives for her birthday.
Jorge saves $7 per week. Which of the
following can be used to find w, the number
of weeks until Jorge has saved at least the
same amount as Camie?
A.7w = 5W + 50
B.50 + 5w < 7w
C.5W + 50 >_7w
D.7W >_5W + 50
Answers
Answer:
The answer is A
Step-by-step explanation:
Camie: $5x + $50 = $55 ( for now/i think)
Jorge: $7x
The equation to represent Jorge has saved at least the same amount as Camie is 7w = 5W + 50.
The correct option is (A)
What is equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.
To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign.
Given:
Camie saves $5 per week plus $50 she receives for her birthday.
Jorge saves $7 per week.
Now, Jorge have to achieve the same amount as Camie.
let w be the number of weeks.
Then equation can be represented as
7w = 5W + 50
Here 7w is amount by Jorge and 5W + 50 is amount of Camie.
Hence, the equation to represent Jorge has saved at least the same amount as Camie is 7w = 5W + 50.
Learn more about equation here:
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please help ASAP!
i will give brainliest!! :)
Answers
Answer:
its c i took the test trust me
Step-by-step explanation:
Help pleasseeeeeeeeeeeeeeeeeeer
Answers
Answer:
4
Step-by-step explanation:
8/12 simplifies to 4/6. so x needs to be 4 for it to work
can someone help me?
Answers
Answer:
I hope this helps!
Step-by-step explanation:
1. M is .25
b is 20
so
y= .25x+20
2. y= 3x+2
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 =
Answers
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
LESS THAN 5 MIN!!! WILL GIVE BRAINLIEST
Raise to the power:
(–xn)^4
Answers
Answer:
x^4n^4
Step-by-step explanation:
Answer:
[tex]n^{4} x^{4}[/tex]
I really hope this helps!
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.
Answers
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
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
Answers
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?
Answers
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)
A car travels 355 miles in 5 hours. How many miles did they travel per hour?
Answers
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
“Explain or show why 4:3 and 3:4 are not equivalent ratios.” Pls this is due today at 12:00 p.m
Answers
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
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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
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
Answers
Answer: 82
Step-by-step explanation:
You add them all
Answer: The answer is C and D
Step-by-step explanation:
Marsha is driving 600 total miles on a trip. She has already driven 2/5 of the distance. How far has Marsha driven?
A. 120 miles
B. 240 miles
C. 300 miles
D. 360 miles
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This is really head to so try yo best
Answers
???
soooo..........whats ur question
The perimeter of the rectangle below is 94 units. Find the length of side WX.
Write your answer without variables.
Answers
Answer:
24units
Step-by-step explanation:
2(4y + 3) + 2(5y - 1) = 94
18y + 4 = 94
y = 5
WX = 5y - 1 = 5(5) - 1 = 24units
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First we need to find the value of y .
[tex]Perimeter = 2 \times ( \: (4y + 3) + (5y - 1) \: ) \\ [/tex]
[tex]Perimeter = 2 \times (9y + 2)[/tex]
[tex]Perimeter = 18y + 4[/tex]
Question told us that perimeter is 94 ,
Thus :
[tex]94 = 18y + 4[/tex]
[tex]18y + 4 = 94[/tex]
Subtract sides 4
[tex]18y + 4 - 4 = 94 - 4[/tex]
[tex]18y = 90[/tex]
Divide sides by 18
[tex] \frac{18y}{18} = \frac{90}{18} \\ [/tex]
[tex]y = 5[/tex]
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The face sides in the rectangular are same.
Thus :
[tex]VY = WX[/tex]
So ;
[tex] WX = 5y - 1[/tex]
[tex]WX = 5(5) - 1[/tex]
[tex]WX = 25 - 1[/tex]
[tex]WX = 24[/tex]
Done...
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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?
Answers
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:
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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?
Answers
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.
X + 8 =-12
ale
Soy unni
w
Answers
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.
5th grade math. Correct answer will be marked brainliest.
Answers
Answer: 1,285, 1,282, 1,278
Step-by-step explanation:
Answer:
1,285, 1,282, 1,278
Step-by-step explanation:
Picture shown below help
Answers
Answer:
measure of angle 2 and angle 3 are both 97
Step-by-step explanation:
angle 2 and angle 3 are vertical angles
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?
Answers
Answer:
10%
Step-by-step explanation:
10% i think
Please help meeeeeee
I need the answer!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
4x + 6x + y = 180
6x + y = x + 5y
10x + y = 180 ........... (1)
5x - 4y = 0 .............. (2)
(1) - 2 × (2)
y + 8y = 180 ⇒ y = 20
6x + 20 = x + 100 ⇔ 5x = 80 ⇒ x = 16
64° , 116°
What two integers does Square root of 50 fall between?