Answer:
Each decent was 500 meters
Step-by-step explanation:
I found the slope
Each decent was 500 meters.
What is the Slope?The slope is a line that defines the direction and the steepness. Slope is defined in many ways. Slope is also equal to tanQ additionally, slope = dy/dx
How to determine?Finding the slope :
8000/1600=5
1000/200=5.
Each decent was 500 meters.
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HURRY PLEASE DON'T HAVE MUCH TIME TO FINISH!
Another plan to secure the roller coaster involves using a cable and strut. Using the center of the half-circle as the origin, the concrete strut can be modeled by the equation and the mathematical model for the cable is . The cable and the strut will intersect.
6. Graph the cable and the strut on the model of the roller coaster using the graphing calculator. Take a screenshot of your graph and paste the image below, or sketch a graph by hand. (5 points)
7. Algebraically find the point where the cable and the strut intersect. Interpret your answer. (10 points)
Answer:
Hello there this is number 6 the graph and number 7. I am also doing this assignment and I was wondering if you had a graph for number 8? If so I have a question posted on my account and I would greatly appreciate you adding the graph, but if not have a nice day
Step-by-step explanation:
7.
root 2x+8=x-8
2x+8=x^2-16x+64
-x^2+18x-56=0
x^2-18x+56=0
x(x-4)-14(x-4)=0
(X-4)(x-14)=0
x=4 ,x=14
x=14
Hope that this helps, Peace and love. And if you are feeling kind will you please mark me the brainliest?
If system of linear equations has no solution,then
Answer:A system of linear equations has no solution when the graphs are parallel. Infinite solutions. A system of linear equations has infinite solutions when the graphs are the exact same line.
Step-by-step explanation:
PLEASE HELP I WILL GIVE 100 points
Using the drawing below to answer the questions that follow
Part A what is the scale factor used when going from the larger rectangle to smaller one?
Part B
What is the length of missing side?
PLEASE HELP
Answer: the scale factor is 1/2
And the missing side is 5.5
Step-by-step explanation:
The larger triangle is twice the smaller triangle
The scale factor is 1/2 and the length of the missings side is 5.5 after using the concept of the scale factor.
What is a scale factor?The ratio among comparable dimensions of an object and a model with that object is known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.
It is given that:
The two rectangles are shown in the picture:
Part A what is the scale factor used when going from the larger rectangle to the smaller one?
The scale factor = 8/16 = 1/2
The length of the missings side = 1/2(11) = 5.5
Thus, the scale factor is 1/2 and the length of the missings side is 5.5 after using the concept of the scale factor.
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please help ALGRBRA II 10 points
How long does it take the kangaroo to travel 5 km
Answer:
Time taken by kangaroo to travel 5 km = 4.27 minutes.
Step-by-step explanation:
Speed of kangaroo is 44 mph.
Speed of kangaroo = 44 mph = 44 x 1.6 = 70.4 kmph = 19.5 m/s
We need to find how much time it takes to travel 5 km
Distance traveled = 5 km = 5000 m
We have
Distance traveled = Speed x Time taken
5000 = 19.5 x Time taken
Time taken = 256.41 seconds
Time taken = 4.27 minutes.
Answer:7.5
Step-by-step explanation:
Alex mows lawns. He earns $15 per lawn. How much does he earn in 4 days if he mows 5 lawns per day?
Answer:
He would make 300 dollars.
Step-by-step explanation:
15 x 5 = 75
75 x 4 = 300.
Answer:
answer is 300
Step-by-step explanation:
Because if your doing it for 1 day you would have to 15*5 which five you 75. Then you multiple that 75 with the 4 and give you 300 within the 4 days..
Hopes this help.
does increase in sample size increases degrees of freedom for t-tests.
Joseline has 347 marbles. Ever has 4 times as many as Joseline. Pablo has 799 fewer than Ever. How many marbles does Pablo have? Joseline tiene 347 canicas. Ever tiene 4 veces más que Joseline. Pablo tiene 799 menos que nunca. ¿Cuántas canicas tiene Pablo?
Answer:
its D
Step-by-step explanation:
Please help!
Write an equation of the line in slope-intercept form.
Answer:
y=4/2m-3 OR y=2m-3
Step-by-step explanation:
Identify the VERTEX
Please help
Answer:
1,-4
Step-by-step explanation:
The vertex is always that little spot there at the tip of a nonlinear function.
Need help! ASAP! With algebra
Answer:
2;4;3
Step-by-step explanation:
y=2x²+4x+3
Find the sine of HELP ASAPP
Find the equation of the purple line.
Answer:
Y-3/5x+2
Step-by-step explanation:
i will give brainliest to the right answer<3
Answer:
the whole
Step-by-step explanation:
Which of the following inequalities is correct?
Answer:
B
Step-by-step explanation:
whats -4 times (-9)
please help
HELLP PLZ... Also MERRY EARLY CHRISTMAS
Answer:
Step-by-step explanation:
0 would represent the surface of the water
4 seguall
3
2
1 above water
0-surface of the water
-1 in the water
-2
-3
-4
Answer:
on the surface, because 0 represents sea level.
Step-by-step explanation:
Hope this helps and good luck :)
What is the value of x?
(6x – 1)º
(5x + 5)º
(4x + 8)º
(3x)º
(5x + 3)º
X =
Step-by-step explanation:
(1 point)
No, there isn't a more efficient way to solve this system.
Yes, a more efficient way is to multiply the first equation by 4, add to eliminate y, then solve for x.
Yes, a more efficient way is to multiply the first equation by −4, add to eliminate y, then solve for x.
Yes, a more efficient way is to multiply the first equation by −4, add to eliminate x, then solve for y.
1998 hurricane Bonnie approached the United States at a speed of 8 miles per hour . The function y= 8x disproves how many miles y hurricane Bonnie traveled x hours . Use the graph to estimate how far the hurricane traveled in 2.5 hours
Answer:
y=20
Step-by-step explanation:
8x
8(2.5)
8×2=16
8×0.5=4
16+4=20
y=20 in this equation
how to find rations in triangles
Answer:
When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles.
Step-by-step explanation:
Find the value for x.
5x - 12
3x + 30
48
The value of x will be;
⇒ x = 3.75
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 5x - 12 + 3x + 30 = 48
Now,
Solve the expression for x as;
The expression is,
⇒ 5x - 12 + 3x + 30 = 48
⇒ 8x - 12 + 30 = 48
⇒ 8x + 18 = 48
Subtract 18 both side as,
⇒ 8x - 18 = 48 - 18
⇒ 8x = 30
Divide by 8 as;
⇒ x = 30/8
⇒ x = 3.75
Thus, The value of x will be;
⇒ x = 3.75
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Find the dimensions of the rectangular box with maximum volume in the first octant with one vertex at the origin and the opposite vertex on the ellipsoid 4x^2+y^2+4z^2=4
a. The length of the box in the x-direction is:_______
b. The length of the box in the y-direction is:_______
c. The length of the box in the z-direction is:_______
Solution :
Let x, y, z be the dimensions of the rectangle.
Volume of the rectangle (V) = xyz
Given that the vertex should lie on ellipse [tex]$4x^2 + y^2+4z^2=4$[/tex] .......(i)
So here the volume xyz must be maximum with constraints above.
We solve this using Lagranches method with variable λ
Lagranches function is
[tex]$F : xyz + \lambda(4x^2+y^2+4z^2-4)=0$[/tex] .....(ii)
To find λ, [tex]$\frac{dF}{dx}=0; \frac{dF}{dy}=0;\frac{dF}{dz}=0$[/tex]
[tex]$\frac{dF}{dx}=0 \Rightarrow yz+\lambda(16x)=0 \Rightarrow \lambda = -\frac{yz}{16x}$[/tex] .............(iii)
[tex]$\frac{dF}{dy}=0 \Rightarrow xz+\lambda(2y)=0 \Rightarrow \lambda = -\frac{xz}{2y}$[/tex] ..................(iv)
[tex]$\frac{dF}{dz}=0 \Rightarrow xy+\lambda(16z)=0 \Rightarrow \lambda = -\frac{xy}{16z}$[/tex] ...............(v)
Equating (iii) and (iv)
[tex]$-\frac{yz}{16x}=-\frac{xz}{2y} \Rightarrow y^2=8x^2 \Rightarrow y = \sqrt8 x$[/tex] ...............(vi)
Equating (iii) and (v)
[tex]$-\frac{yz}{16x}=-\frac{xy}{16z} \Rightarrow z^2=x^2 \Rightarrow z = x$[/tex] ....................(vii)
Substitute (vi) and (vii) in (i),
From (i),
[tex]$4x^2 + (\sqrt8 x)^2+4x^2 = 4$[/tex]
[tex]$\Rightarrow 4x^2 +8x^2+4x^2 = 4 \Rightarrow x = \frac{1}{4}$[/tex]
From (vi),
[tex]$y = \sqrt8 x$[/tex]
[tex]$\Rightarrow y= \sqrt8 \times \frac{1}{4} \Rightarrow y =\frac{\sqrt8}{4}$[/tex]
[tex]$\Rightarrow y =\frac{\sqrt{2\times4}}{4} \Rightarrow y = \frac{1}{\sqrt2}$[/tex]
From (vii),
z = x
[tex]$z =\frac{1}{4}$[/tex]
Therefore, for maximum volume the dimensions of a rectangle box are
[tex]$x =\frac{1}{4} ; y = \frac{1}{\sqrt2} ; z =\frac{1}{4}$[/tex]
The rain gauge at the airport showed 22 inches of rain in April. Which of these is the SAME as 22 inches?
Answer:
24
Step-by-step explanation:
First things first you multiply 22inches of rain times 22 and that is how you get 24
the reciprocal of 3 - 1/5 is
Answer:
[tex]\frac{5}{14}[/tex]
Step-by-step explanation:
First subtract the two terms by setting the first term as a fraction.
3 * [tex]\frac{5}{5}[/tex] = [tex]\frac{15}{5}[/tex]
Then subtract the terms.
[tex]\frac{15}{5}[/tex][tex]-\frac{1}{5}[/tex] = [tex]\frac{14}{5}[/tex]
Finally, flip the numerator and the denominator.
What is the measure of ZA?
100"
A. 30
B. 50°
C. 70°
D. 130°
What is the product of(5)(3)
Answer:
15
Step-by-step explanation:
just cause
Solve 11 < 3x+8 < 20.
Answer:
1<x<4
Step-by-step explanation:
this helps me out a lot in my math class
Answer:
x=4 and thats your answer thanks for helping you but if using the z-score it's 0
Step-by-step explanation:
1<x<4
I need help again please
Simplify 3(12 - 8) + 5.
O A. 32
O B. 17
O C. 33
O D. 27
Answer:
b
Step-by-step explanation:
parentheses first 12-8=4
3x4=12
12+5=17
u do parentheses then exponents then division then multiplication then add then subtract
hope this helps!!!
pleaseeee help eoth #7
Answer:
SAS
Step-by-step explanation:
statements:
line KN = LMline KN || LMline LN = LN∠KNL = ∠MLNΔKLN = ΔMNLreasons:
givengivenreflexive propertyalternate interior angleSAS