Answer:
Bryce national park has the greatest cost per vehicle.
Step-by-step explanation:
From the question, we are given the following:
For Arches national park
Cost per vehicle or entry fee per vehicle at Arches national park = $25
For Bryce national park
We have:
y = 30x ........................... (1)
y = the total cost in dollars
x = the number of vehicles
To obtain the cost per vehicle at Bryce national park, we have to assume that the number of vehicles is one by setting x equal to one, that is, x = 1.
Substituting x = 1 into equation (1), we have:
y = 30 * 1 = 30
This implies that cost per vehicle at Bryce national park is $30.
Conclusion
Since the $30 cost per vehicle at Bryce national park is greater than the $25 cost per vehicle at Arches national park, it therefore implies that Bryce national park has the greatest cost per vehicle.
find the distance between (-4, -3) and (2,1)
Answer:
-4,-3 is 4 and 2,1 is 2
Step-by-step explanation:
From A to B a private plane flies 2.8 hours at 110 mph on a bearing of 64 degrees . It turns at point B and continues another 1.7 hours at the same speed, but on a bearing of 154 degrees to point C. Round each answer to three decimal places. a. At the end of this time, how far is the plane from its starting point? b. On what bearing is the plane from its original location?
Answer:
a. 360.323 m
b. [tex]95.265^{o}[/tex]
Step-by-step explanation:
Distance covered from A to B = speed x time
= 110 x 2.8
= 308 m
Distance covered from B to C = speed x time
= 110 x 1.7
= 187 m
The sum of angles at B = [tex]64^{o}[/tex] + [tex]26^{o}[/tex]
= [tex]90^{o}[/tex]
a. The distance of the plane from it starting point to C can be determined by applying the cosine rule.
[tex]b^{2}[/tex] = [tex]a^{2}[/tex] + [tex]c^{2}[/tex] - 2ac Cos B
Sot hat;
[tex]b^{2}[/tex] = [tex]187^{2}[/tex] + [tex]308^{2}[/tex] - 2(187 x 308) Cos [tex]90^{o}[/tex]
But, Cos [tex]90^{o}[/tex] = 0
So that,
[tex]b^{2}[/tex] = [tex]187^{2}[/tex] + [tex]308^{2}[/tex]
= 34969 + 94864
= 129833
b = [tex]\sqrt{129833}[/tex]
= 360.323
The distance from A to C is 360.323 m.
b. Applying the sine rule;
[tex]\frac{a}{SinA}[/tex] = [tex]\frac{b}{SinB}[/tex]
[tex]\frac{187}{SinA}[/tex] = [tex]\frac{360.323}{Sin90^{o} }[/tex]
[tex]\frac{187}{SinA}[/tex] = [tex]\frac{360.323}{1}[/tex]
Sin A = [tex]\frac{187}{360.323}[/tex]
= 0.5190
⇒ A = [tex]Sin^{-1}[/tex] 0.5190
= [tex]31.265^{o}[/tex]
The bearing of the plane from its original location = [tex]64^{o}[/tex] + [tex]31.265^{o}[/tex]
= [tex]95.265^{o}[/tex]
Using the Sine and Cosine rule on the triangle generated using the information given, the distance and bearing of the plane from its original location are :
360.32 mile 95.26°Using the Cosine Rule :
b² = a² + c² - 2abCosBb² = 187² + 308² - 2(187)(308)Cos(90°)
b² = 187² + 308² - 0
b² = 129833
b = √129833
b = 360.32 miles
B.)
Using the Sine rule :
a/sinA = b/SinB = c/SinC
187/sinA = 360.32/sin90
187/sinA = 360.32/1
sinA × 360.32 = 187
sinA = 187 / 360.32
sinA = 0.51898
A = Sin¯¹(0.51898)
A = 31.264
Hence, bearing of C from A = (64° + 31.264) = 95.26°
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Translate the following word sentence into a numerical expression: When you square five times a number, you get three more than the number. Let x be the number. **PLEASE HELP I REALLY DON'T GET THIS AND I ALREADY ASKED MY TEACHER**
Answer:
[tex]5x^{2}[/tex]×3x
How many terms are in the algebraic expression 3x^2 + 4y - 1
Answer:
3
Step-by-step explanation: There are 3 terms there
Answer:
3Step-by-step explanation:
The terms of this given expression are 3x^2, 4y and 1. Thus, there are three terms.
HELP!!!!!!
The line graphed by the equation, y =2/3 x +1/4 , has a slope of 1/4 and a y-intercept of 2/3. True False
Answer:
Um, no lo sé, lo siento, solo necesito los puntos
Step-by-step explanation:
Answer:
False; the slope is 2/3 and the y intercept is 1/4
I hope this is good enough:
1 A camera is capable of snapping 3/4 of a picture per second. How many pictures can be snapped within a 36-second period?
Answer:
27
Step-by-step explanation:
36*(3/4)
I just put that in a calculator so
GEOMETRY HELP ILL VOTE YOU BRAINLIEST I PROMISE PLEASE
Answer:
x=29
Step-by-step explanation:
4x-18+5x-71=180
9x=269
x=29
can you show your work for this 4m-5(3m+10)=126
Answer:
m=−16
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4m−5(3m+10)=126
4m+(−5)(3m)+(−5)(10)=126(Distribute)
4m+−15m+−50=126
(4m+−15m)+(−50)=126(Combine Like Terms)
−11m+−50=126
−11m−50=126
Step 2: Add 50 to both sides.
−11m−50+50=126+50
−11m=176
Step 3: Divide both sides by -11.
−11m /−11 = 176 /−11
m=−16
What is the number −37,860,000 written in scientific notation?
Select one:
A. -3786 x 104
B. -0.3786 x 108
C. -37.86 x 106
D. -3.786 x 107
Answer:
The answer is D - 3.786x10^7
A hobby shop sells small and large toy cars. A small toy car is $5.50, and a large toy car is $9. What is an equation that relates the cost, Cin dollars
with the number of small toy cars, S, and the number of large cars, L. purchased?
Answer:
C = 5.50S + 9L
.............
The equation that relates the cost, Cin dollars with the number of small toy cars, S, and the number of large cars, L is C = 5.50S + 9L.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
A hobby shop sells small and large toy cars. A small toy car is $5.50, and a large toy car is $9.
Let S be the number of a small toy car and L be the number of a large toy car.
The equation can be made:
Total cost:
C = 5.50S + 9L
Thus, the equation that relates the cost, Cin dollars with the number of small toy cars, S, and the number of large cars, L is C = 5.50S + 9L.
Learn more about the linear equation here:
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Which explanation do you prefer?
Answer:
hi how are you doing today Jasmine
2/3(9x-6)= 4x + 10
3
6x-4=4x+10
What is the value of x in the equation?
A X = 7
B X = 8
B X = 3.2
D X = -12
Answer:
the answer will be A. x=7
Your answer should be 7
in which quadrant will the point lie, if the ordinate is 4 and the abcissa is -1
Answer:
Either the abscissa is positive and the ordinate is negative or the abscissa is positive and the ordinate is negative. So, a point could be either (+,-), which lie in quadrant IV, or it could be of the type (-,+), which lie in quadrant II.
2y - 7 = 35
A
28
B
21
C
14
D
9
Answer:
Do u know the answer to
Step-by-step explanation:
Triangle ABC is a right triangle. The length of the legs are 3 in and 6 in, how long is the hypotenuse? (Round to the nearest tenth if necessary)
A) 3.3 in
B) 6.7 in
C) 7.9 in
D) 9.0 in
Answer:
21
Step-by-step explanation:
2y-7=35
2(21)-7 = 35
42-7= 35
35 =35
Question 5 points)
Determine if the two triangles shown are similar. If so, write the similarity statement.
A) ASUD - ATUE
B) ASUD - AEUT
C) Impossible to determine.
D) The triangles are not similar
triangles are not similar
Answer:
The triangles are not similar
Step-by-step explanation:
cuz it ain't duhhhhh
Find the slope of the line that passes through the points (2, -3) and (5, -4).
Use ELIMINATION:
2x - 6y = -54
X + 6y = 63
lipka reads a book of 1/34 hrs everyday she reads the entire book in 6 days how many hours in all were required by her to read the book
Answer: She needs 10 1/2 hours to read the book.
Step-by-step explanation:I day = 1 3/4 hours
6 days = 1 3/4 x 6
6 days = 7/4 x 6
6 days = 42/4
6 days = 10 1/2 hours
What is the value of k in the equation StartFraction k Over 3 EndFraction minus 5 = 34?
[tex]\huge\text{$k=\boxed{117}$}[/tex]
[tex]\displaystyle\frac{k}{3}-5=34[/tex]
To find the value of [tex]k[/tex], we need to isolate it on one side of the equation. Add [tex]5[/tex] to both sides of the equation, then multiply both sides of the equation by [tex]3[/tex].
[tex]\displaystyle\begin{aligned}\frac{k}{3}-5+5&=34+5\\\frac{k}{3}&=39\\\frac{k}{3}*3&=39*3\\k&=\boxed{117}\end{aligned}[/tex]
simplify [tex]\sqrt[4]{2} +\sqrt[7]{2}-\sqrt[3]{2}[/tex]
A. 2 square root of 8
B. 8 square root of 2
C. 8 square root of 6
D. 6 square root of 8
Answer:
Letter C.
Step-by-step explanation:
..................................
Each dimension of a parallelogram is multiplied by a positive number n. Write an expression for the area of the new parallelogram. Let b represent the base and h represent the height of the original parallelogram.
what is the expression for the area of the new parallelogram???
Answer:
b*h
Step-by-step explanation:
therethere are four sides to a parallelogram and two of them would be h and b and you must multiply that by n then each other
New area:
(b*n) * (h*n) = (b*h)n^2
3.7(x−5.9)=−26.64
help
Answer: -1.3
Step-by-step explanation:
Solve the equation: 25^2n+1=625
Answer:
The value of n is 1/2.
Step-by-step explanation:
[tex] {25}^{2n + 1} = 625[/tex]
[tex] log_{25}(625) = 2n + 1[/tex]
[tex]2 = 2n + 1[/tex]
[tex]2n = 1[/tex]
[tex]n = \frac{1}{2} [/tex]
The solution for the given equation is n=624/625.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is 25²n+1=625.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Here, 625n+1=625
625n=624
n=624/625
Therefore, the solution for the given equation is n=624/625.
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What is 0.8 as a fraction?
Answer:
8/10
Step-by-step explanation:
Answer: 0.8 = [tex]\frac{4}{5}[/tex]
Step-by-step explanation: We need to change 0.8 into a fraction.
0.8 = [tex]\frac{8}{10}[/tex]
[tex]\frac{8}{10}\\[/tex] = [tex]\frac{4}{5}[/tex]
Therefore, your answer is [tex]\frac{4}{5}[/tex]
hope this helps!
lovelymoonlight
24 point question
Graph f(x) =1/2x+2
Use the line tool and select two points to graph the line.
Please just give the x, y coordinates because I’ve tried to look at other ones and the way it was explained confused me a bit. Thank you
Answer:
(0,2), (2,3)
Step-by-step explanation:
I know that 0,2 would be a point because it is the constant in the problem, but I am not to sure about 2,3.
4. How do you solve x2 + 9x - 3 = 0 using the completing-the-square method?
Answer:
i used to have a problem with this
Step-by-step explanation:
Tim used the expression n3 to determine the volume of a cube where n represents a side length of the cube. Using this expression, what is the volume, in cubic inches, of a cube with a side length of 3.5 inches?
Answer: V≈42.88in³
Step-by-step explanation: i might be wrong but let me know
Solve |x + 3| – 1 = (x + 2)2 by graphing.
Answer:
x= -2, -1
Step-by-step explanation: The solution is the x-value of the point of intersection
what is the value of f
Answer:
f = 22
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
140° is an exterior angle of the triangle, thus
4f + 1 + 51 = 140, that is
4f + 52 = 140 ( subtract 52 from both sides )
4f = 88 ( divide both sides by 4 )
f = 22
HELP 66 hundreds÷10 Choose 1 answer: (Choice A) A 66 \text { thousands}66 thousands66, start text, space, t, h, o, u, s, a, n, d, s, end text (Choice B) B 66 \text { ones}66 ones66, start text, space, o, n, e, s, end text (Choice C) C 66 \text { tens}66 tens
Answer:
66 tens
Step-by-step explanation:
Required
Solve 66 hundreds / 10
First, we need to express 66 hundreds as a number.
1 hundred = 100
66 hundreds = 66 * 1 hundred
So:
66 hundreds = 66 * 100
66 hundreds = 6600
66 hundreds / 10 would then be calculated as:
66 hundreds / 10 = 6600/10
66 hundreds / 10 = 660
660 can be represented as:
66 hundreds / 10 = 66 * 10
or
66 hundreds / 10 = 66 tens
Hence, option C answers the question