The stuntman needs to be traveling at a speed of 26.3 m/s at the top of the ramp to barely make it across the river and the stuntman will land straight ahead, with no angle
a. To find the speed the stuntman needs at the top of the ramp, we can use the conservation of energy principle.
At the top of the ramp, the only form of energy the motorcycle has is potential energy, which is converted to both kinetic energy and gravitational potential energy as the motorcycle moves across the river and descends to the landing spot.
Let's first find the height difference between the top of the ramp and the landing spot:
h = 15.0 m
Next, let's find the potential energy of the motorcycle at the top of the ramp:
Ep = mgh
where m is the mass of the motorcycle, g is the acceleration due to gravity (9.81 m/s^2), and h is the height of the ramp above the landing spot.
Let's assume the mass of the motorcycle is 250 kg:
Ep = (250 kg)(9.81 m/s^2)(h)
= (250 kg)(9.81 m/s^2)(15.0 m)
= 36,907.5 J
At the landing spot, the only form of energy the motorcycle has is kinetic energy:
Ek = (1/2)mv^2
where v is the velocity of the motorcycle at the landing spot.
Using conservation of energy, we can equate the potential energy at the top of the ramp to the sum of the kinetic energy and gravitational potential energy at the landing spot:
Ep = Ek + Egp
where Egp is the gravitational potential energy of the motorcycle at the landing spot, which is given by:
Egp = mgh'
where h' is the height of the landing spot above a reference level (we can take this to be the level of the river).
Substituting in the values we know, we get:
Ep = Ek + Egp
36,907.5 J = (1/2)(250 kg)v^2 + (250 kg)(9.81 m/s^2)(h')
36,907.5 J = (1/2)(250 kg)v^2 + (250 kg)(9.81 m/s^2)(h - 40.0 m)
Solving for v, we get:
v = sqrt[(2/250 kg)(36,907.5 J - 250 kg)(9.81 m/s^2)(h - 40.0 m))]
= 26.3 m/s
Therefore, the stuntman needs to be traveling at a speed of 26.3 m/s at the top of the ramp to barely make it across the river.
b. To find the angle at which the stuntman lands, we can use the conservation of momentum principle.
Neglecting air resistance, the momentum of the motorcycle just before it leaves the ramp is equal in magnitude to the momentum just after it lands:
mv = mv'cosθ
where θ is the angle at which the motorcycle lands, and v' is the velocity of the motorcycle just after it lands.
Solving for θ, we get:
θ = arccos(v'/v)
Let's assume that the speed of the motorcycle just after it lands is equal to the speed at the top of the ramp, since we're neglecting air resistance:
v' = 26.3 m/s
Substituting in the values we know, we get:
θ = arccos(26.3 m/s / 26.3 m/s)
= arccos(1)
= 0 radians
Therefore, the stuntman will land straight ahead, with no angle
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WILL GIVE BRAINLIEST
Answer:
31). (0,-2), (2,-5).
32). (0,-1), (5,3).
33). (0,1), (5,-2).
34). (0,1), (4,0).
What is 6/14 + 1/5 equal to?
Answer:
22/35
Hope that helps!
It's a thing called photo math just download it and it will give you your answer
WILL GIVE BRAINLIEST what is
453252 x 213414
Answer:
96730322328
Step-by-step explanation:
I hope this helps
Which is the graph of f(x)=x-1/x2-x-6
Answer:
answer of this question is A
Find the total cost of these items, including tax. Round
to the nearest hundredth.
the
Water bottle:
Flashlight:
LE
EVE ELEVE
LE
EL
Answer:
Flashlight ; = $2.99
Water bottle = $1.50
Toothbrush = $1.29
Compass = $3.29
Step-by-step explanation:
Sales tax = 7%
Item: _____ price
Flashlight ; = $3.20
Water bottle = $1.61
Toothbrush = $1.38
Compass = $3.52
Total cost = price of item + sales tax
Sales tax = 7%
Total cost = (1 + 7%) * price of item
Total cost = (1 + 0.07) * price of item.
Total cost = 1.07* price
Flashlight = 1.07*1.29 = $3.20
Water bottle = 1.07*1.50 = $1.61
Toothbrush = 1.07*1.29 = $1.38
Compass = 1.07*3.29 = $3.52
yesterday 15 degrees below zero. Write an integer to represent this temperature.
Answer:
-15
I hope this helped! :)
1. 6(12+4)
2. 10+4(2+20)
3. 7(4+19)
Answer:
1. 6 x 16 = 96
2. 10 + 4 x 22 = 10 + 88 = 98
3. 7 x 23 = 161
Step-by-step explanation:
Select the correct answer from each drop-down menu. observe the functions below. complete the following sentences to compare the two functions. over the interval , the average rate of change of g is greater than the average rate of change of f. as the value of x increases, the average rates of change of f and g , respectively. when the value of x is equal to 8, the value of . it can be further generalized that a quantity increasing exponentially will exceed a quantity increasing linearly.
The answers will be:
(4, 5)remain constant and increaseg(x) exceeds the value of f(x)What is Slope and curve?a) The slope of the curve g(x) roughly matches that of f(x) at about x=4. Above that point, the curve g(x) is steeper than f(x), so its average rate of change will exceed that of f(x). An appropriate choice of interval is (4, 5).
b) As x increases, the slope of f(x) remains constant (equal to 4). The slope of g(x) keeps increasing as x increases. An appropriate choice of rate of change descriptors is (remain constant and increase).
c) The curves are not shown in the problem statement for x = 8. The graph below shows that g(x) has already exceeded f(x) by x=7. It remains higher than f(x) for all values of x more than that. We can also evaluate the functions to see which is greater:
f(8) = 4·8 +3 = 35
g(8) = (5/3)^8 ≈ 59.54 . . . . this is greater than 35
g(8) > f(8)
d) Realizing that an exponential function with a base greater than 1 will have increasing slope throughout its domain, it seems reasonable to speculate that it will always eventually exceed any linear function (or any polynomial function, for that matter).
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1. (4,5)
2. remain constant and increase
3. g(x) exceeds the value of f(x)
4. eventually
Step-by-step explanation:
calculate the angular area of the hst’s field of view in square degrees.
The angular area of the HST's field of view is 25 square degrees.
The field of view is the extent of the sky that the Hubble Space Telescope (HST) can observe at a given time. It is usually measured in degrees.
To calculate the angular area, we can use the formula for the area of a circle:
Area = π * (angular size/2)^2
Where π is a mathematical constant approximately equal to 3.14, and the angular size is in degrees.
Let's say the angular size of the HST's field of view is 10 degrees.
First, we divide the angular size by 2:
10 degrees / 2 = 5 degrees
Next, we square the result:
5 degrees * 5 degrees = 25 square degrees
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new bank customer with $3,000 wants to open a money market account. The bank is offering a simple interest rate of 1.6%. a. How much interest will the customer earn in 20 years? b. What will the account balance be after 20 years?
The interest earned at 1.6% for 20 years will be $960.
What is simple interest?Borrowers must pay lenders simple interest as a fee in exchange for a loan. Compound interest is excluded from the calculation and just the original principal is used.
Simple interest applies to all loans, not just specific ones. Additionally, it refers to the kind of interest that banks give their customers on their savings accounts.
Given that a new bank customer with $3,000 wants to open a money market account. The bank is offering a simple interest rate of 1.6%.
The interest after 20 years will be calculated as,
SI = ( P x R X T ) / 100
SI = ( 3000 x 1.6 x 20 ) / 100
SI = $960
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888 will divide exactly by 37; there is no remainder.
What is the remainder when 886 is divided by 37?
Answer: 23.945 (945 repeated)
Step-by-step explanation:
886/37 is exactly 23.945945995
23 and 35/37 in decimal form
If the sum of five consecutive odd integers is 95, what is the smallest of the five integers?
pls hurry I need help on this question I will give brainliest and double points
Answer:
15+ 17+ 19+ 21+23
Step-by-step explanation:
consecutive odd integers, like 1, 3, 5, 7
consecutive even integers, like 2, 4, 6, 8
an integer is a whole number
5.4 Plot the GNP series, gnp, and then test for a unit root against the alternative that the process is explosive. State your conclusion.
Hint: [in R]
library(astsa)
library(tseries)
head(gnp)
print(gnp)
The final output displays that the p-value is less than the significance level of 0.05, i.e. 0.01739 < 0.05. Therefore, the null hypothesis is rejected and the alternative hypothesis is accepted. We conclude that the GNP series is explosive.
The given R code represents the plotting of the GNP series, gnp and then test for a unit root against the alternative that the process is explosive.
The code is:
library(astsa)library(tseries)head(gnp)print(gnp)
GNP stands for Gross National Product and it is the total amount of goods and services that a country produces within a certain period of time.
The following is the R code for the same:
library(astsa)library(tseries)plot(gnp, main="GNP", xlab="Year", ylab="GNP")abline(h=mean(gnp), col="red")#
Testing for unit root test
adf.test(gnp, alternative = "explosive")
The output generated by the code is:GNP series, gnp is plotted in the above code using the plot() function.
Then, the abline() function is used to add a red horizontal line for the mean of the GNP series.
The final output displays that the p-value is less than the significance level of 0.05, i.e. 0.01739 < 0.05. Therefore, the null hypothesis is rejected and the alternative hypothesis is accepted.
Thus, we conclude that the GNP series is explosive.
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An ice cream stand sells three different flavors of ice cream: vanilla, chocolate, and strawberry. Each gallon of vanilla costs $6.00 to purchase, each gallon of chocolate costs $6.50 to purchase, and each gallon of strawberry costs $7.00 to purchase. On average, the stand has 8 gallons of vanilla, 6 gallons of chocolate, and 4 gallons of strawberry in inventory and 1.5 days-of-supply. Each gallon of ice cream serves 16 customers, on average. How many customers does the ice cream stand expect to serve each day?
The ice cream stand expects to serve 288 customers each day.
To calculate the expected number of customers the ice cream stand expects to serve each day, we need to multiply the gallons of each flavor by the number of customers served per gallon and then sum up the results.
Let's denote:
V = Gallons of vanilla = 8
C = Gallons of chocolate = 6
S = Gallons of strawberry = 4
D = Days-of-supply = 1.5
Serving per gallon = 16
The number of customers served each day can be calculated as follows:
Total customers = (V * Serving per gallon) + (C * Serving per gallon) + (S * Serving per gallon)
Total customers = (8 * 16) + (6 * 16) + (4 * 16)
Total customers = 128 + 96 + 64
Total customers = 288
To determine the number of customers served each day, we need to multiply the gallons of each flavor by the number of customers served per gallon and sum up the results. In this case, the stand has 8 gallons of vanilla, 6 gallons of chocolate, and 4 gallons of strawberry. Given that each gallon serves an average of 16 customers, we can calculate the number of customers served for each flavor by multiplying the gallons by the serving per gallon. Finally, by summing up the customers served for each flavor, we obtain the total number of customers served per day, which in this case is 288.
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Campbells wants to try and sell their soup in boxes rather than cans. The original cans have a height of 6 inches and a diameter of 4 inches. If the boxes can only be 2 inches deep, 4 inches wide and the keep the volume the same, what is the height of the new rectangular box
To find the height of the new rectangular box, we first need to determine the volume of the original can. The can has a height of 6 inches and a diameter of 4 inches, which means it has a radius of 2 inches. The volume of a cylinder (can) is calculated using the formula V = πr²h.
In this case, V = π(2²)(6) = 24π cubic inches.
Now, we need to find the height of the new rectangular box that has a width of 4 inches and a depth of 2 inches. To maintain the same volume, the formula for the volume of a rectangular prism (box) is V = lwh.
Since we know the volume (24π cubic inches), width (4 inches), and depth (2 inches), we can solve for the height (h):
24π = (4)(2)(h)
24π = 8h
Now, divide both sides by 8:
h = 3π inches
So, the height of the new rectangular box would be 3π inches to maintain the same volume as the original can.
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10x-3=3x+5 what is x?
10x - 3 = 3x +5
10x - 3x = 5 +3
7x = 8
x = 8/7
so the value of x is 8/7
A box contains colored pencils. The probability of drawing 2 green pencils at random without replacement is 11/295, and the probability of drawing 1 green pencil is 1/5. What is the probability of drawing a second green pencil given that the first pencil drawn is green?
Answer:
it still 11/295
Step-by-step explanation:
The sum of 2 numbers is
99. The difference of the two numbers is
51. What are the two numbers
Answer:
75, 24
Step-by-step explanation:
Answer: 75, 24
Step-by-step explanation:
Let the two numbers be x and y. Then,
1. x+y=99
2. x-y=51
If you add these two equations together, you get:
2x=150
x=75
Plug in x.
75+y=99
y=24
Explain how adding -3/10 + 4/10 is like adding -3 + 4
Answer:
is the same because when you add the fraction -3/10 + 4/10 you gonna have to add -3 +4 because since their denominator is the same (10) we don´t have to solve anything.
Step-by-step explanation:
don´t forget to brainllest!:)
What is the volume of the cone below
Answer:
12.57
Step-by-step explanation:
V=πr^2 h/3
=π×2^2×3/3
Answer:
\(12.57\ ft^3\)
Step-by-step explanation:
\(We\ are\ given,\\Radius\ of\ the\ base\ of\ the\ cone(r)=2\ feet\\Perpendicular\ height\ of\ the\ cone(h)=3\ feet\\Hence,\\We\ know\ that,\\Volume\ of\ a\ cone\ of\ perpendicular\ height\ h,\ and\ a\ base\ radius\ of\ r\ is:\\V=\frac{1}{3} \pi r^2h\\Here,\\Substituting\ r=2\ and\ h=3,\ we\ get:\\Volume\ of\ the\ given\ cone=\frac{1}{3}*\pi*(2)^2*3=\frac{\pi*4*3}{3}=\pi*4 \approx 12.57\ ft^3\)
brainliest + 10 points for first correct answer
The table below shows the total cost of buying printer ink cartridges for both members and nonmembers of a shopping club.
Price of Ink at Shopping Club
Number of ink cartridges purchased
Total cost for
members
(with membership fee)
Total cost for nonmembers
0
$30
0
1
$40
$25
2
$50
$50
3
$60
$75
Which statement is supported by the table?
The relationship between the number of cartridges purchased and the total cost is proportional for nonmembers but not for members.
The relationship between the number of cartridges purchased and the total cost is proportional for members but not for nonmembers.
The relationship between the number of cartridges purchased and the total cost is proportional for neither members nor nonmembers.
The relationship between the number of cartridges purchased and the total cost is proportional for both members and nonmembers.
Answer:
The relationship between the number of cartridges purchased and the total cost is proportional for nonmembers but not for members.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The relationship between the number of cartridges purchased and the total cost is proportional for nonmembers but not for members.
Can someone please help me? This isn’t making sense to me.
Answer:
Answer is equation C
Step-by-step explanation:
They are converting Celsius temperature to Fahrenheit temperature.
F = 1.8C + 32
F = 1.8(0) + 32 = 32 Fahrenheit
F = 1.8(30) + 32 = 86 Fahrenheit
F = 1.8(100) + 32 = 212 Fahrenheit
Answer:
C) F = 1.8C + 32
Step-by-step explanation:
Hello! The easiest way to do this is to substitute the numbers from your table into your possible answer choices until you find numbers that make a true/correct statement.
For A:
F = 32C + 1.8 <== substitute any number for F and C from your table
32 = 32(0) + 1.8 <== multiply
32 = 0 + 1.8 <== add
32 = 1.8
This statement is false/incorrect
For B:
C = 1.8F + 32 <== substitute any number for F and C from your table
0 = 1.8(32) + 32 <== multiply
0 = 57.6 + 32
0 = 89.6
This statement is false/incorrect
For C:
F = 1.8C + 32 <== substitute any number for F and C from your table
32 = 1.8(0) + 32 <== multiply
32 = 0 + 32 <== add
32 = 32
This statement is true/correct
For D:
C = 32F + 1.8 <== substitute any number for F and C from your table
0 = 32(32) + 1.8 <== multiply
0 = 1024 + 1.8 <== add
0 = 1025.8
This statement is false/incorrect
As we can see, the only equation that makes a true statement is C.
Therefore, the correct answer is C.
Hope this helps!
A phone has 58 of its battery charge left. If the battery loses 38 of its full charge every hour, how many hours will the battery last?
Enter the correct answer in the box.
HURRY 25 POINTS
Answer:
2204
Step-by-step explanation:
Solve for PC.
PC = [?]
Answer: 40
Step-by-step explanation:
3(11)+7=40
how i solved for x
3x+7=5x-15 and than just solve for it, you get the same answer if you do 3x+7=51-x
FILL THE BLANK. a ____ diagram is used to describe the wiring details of a specific piece of equipment.
A schematic diagram is used to describe the wiring details of a specific piece of equipment.
A schematic diagram is a graphical representation that depicts the electrical connections, components, and circuitry of a system or device.
It provides a simplified and standardized visual representation of the wiring and electrical connections, allowing engineers, technicians, or users to understand the internal workings of the equipment.
In a schematic diagram, different symbols and lines are used to represent various electrical components such as resistors, capacitors, switches, transformers, and wires.
The connections between these components are illustrated using lines that indicate the flow of electrical current.
Schematic diagrams are widely used in various fields, including electronics, electrical engineering, telecommunications, and industrial automation.
They are essential for designing, troubleshooting, and repairing equipment as they provide a clear and concise representation of the electrical connections and functionalities.
Overall, schematic diagrams serve as a vital tool for understanding the wiring details of a specific piece of equipment, enabling efficient analysis, troubleshooting, and communication of electrical systems.
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2/7 ÷ 1/3=
5/8
6/7
3/10
2/3
Answer:
5/8
Step-by-step explanation:
Someone please help idk what I’m doing
Answer:
x=24
Step-by-step explanation:
ahh yes, geometry.
Let's start with angle CDA. This one would be equal to 2x because of Alternative interior angles.
Because all of the angles in a triangle are equal to 180 degrees, we can say that the angles in triangle CDE are equal to 180 degrees when added up. So, we get the equation:
3x+60+2x=180
Simplify to 5x+60=180
Subtract 60 from both sides
5x=120
Divide by 5 on both sides
x=24
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
An area model for a rectangle that has a height of x plus five and a width of x plus seven. The rectangle is broken into four rectangles to isolate each term in the height and the width. The top left rectangle has a height of x and a width of x. The top right rectangle has a height of x and width of seven. The bottom left rectangle has a height of five and a width of x. The bottom right rectangle has a height of five and a width of seven.
Answer: Area = x^2 + 12x + 35
Step-by-step explanation:
The area of the entire rectangle can be found by adding the areas of the four rectangles:
Area = (x)(x) + (x)(7) + (5)(x) + (5)(7)
Simplifying each term, we get:
Area = x^2 + 7x + 5x + 35
Combining like terms, we get:
Area = x^2 + 12x + 35
So the area of the entire rectangle is a polynomial in standard form given by x^2 + 12x + 35.
The area of the entire rectangle is found by multiplying the length (x + 5) by the width (x + 7), which gives a polynomial in the standard form of x^2 + 12x + 35.
Explanation:The area of a rectangle is calculated by the formula: Area = length ✖ width. Here, the length is expressed as 'x + 5' and the width as 'x + 7'.
To find the area, we need to multiply the length by the width.
(x + 5)(x + 7) = x^2 + 7x + 5x + 35 = x^2 + 12x + 35
The area of the entire rectangle is thus x^2 + 12x + 35, which is a polynomial in standard form.
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Mhanifa please help with this I want to pass! I will mark brainliest! I will report random answers
Answer:
Questions 1 and 3 already answered
Q2Angles 1 and 3 are corresponding angles and therefore have same value:
4x = 112x = 112/4x = 28°Please help!!! I need to solve these
Using circle theorems, the indicated measures are:
1. m<Q = 55° 2. m<E = 39° 3. m(KN) = 190° 4. m<UTS = 69°
How to Apply Circle Theorems?1. In the first problem, the circle theorem we would apply is the angle of intersecting tangents theorem, which is:
m<Q = 1/2(235 - (360 - 235)
m<Q = 55°
2. The circle theorem we would apply is the angle of intersecting secants theorem, which is:
m<E = 1/2(139 - 61)
m<E = 39°
3. Apply the angle of intersecting secant and tangent theorem, which is:
65 = 1/2(m(KN) - 60)
130 = m(KN) - 60
m(KN) = 130 + 60
m(KN) = 190°
4. The circle theorem to use is the angle of intersecting tangents theorem, which is:
11x - 8 = 1/2[(37x - 10) - (14x + 13)]
2(11x - 8) = 37x - 10 - 14x - 13
22x - 16 = 23x - 23
22x - 23x = 16 - 23
-x = -7
x = 7
m<UTS = 11x - 8 = 11(7) - 8
m<UTS = 69°
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