The person must make 8 trips for Plan A and B to be equal.
Plan A will cost $144 and then $10 for every parking. Assuming the number of trips is x, the expression would be:
= One time fee + (Fee per parking x number of trips)
= 144 + 10x
Plan B will cost $48 then parking of $22. Expression will be:
= 48 + 22x
To find out the number of trips where the cost will be equal, equate the two:
144 + 10x = 48 + 22x
144 - 48 = 22x - 10x
96 = 12x
x = 96 / 12
x = 8 trips
The person must therefore make 8 trips for Plan A and B to be equal.
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In order to simulate conditions near roads treated with road salt, scientists raised wood frog tadpoles in a high concentration of salt, and tadpole survival was measured. The survival rates for 5 replicates were 32, 37, 41, 45, and 50 percent. The sample mean for these values is 41 percent, and the sample variance is 48.5 percent squared. Determine the standard error of the sample mean for this data set.
Answer:
[tex]SE_{\bar x} = 0.311[/tex]
Step-by-step explanation:
Given
[tex]n=5[/tex]
[tex]\bar x = 41\%[/tex]
[tex]\sigma^2= 48.5\%[/tex] --- variance
Required
The standard error of the sample mean
This is calculated as:
[tex]SE_{\bar x} = \frac{\sigma}{\sqrt n}[/tex]
This can be rewritten as:
[tex]SE_{\bar x} = \frac{\sqrt{\sigma^2}}{\sqrt n}[/tex]
So, we have:
[tex]SE_{\bar x} = \frac{\sqrt{48.5\%}}{\sqrt 5}[/tex]
Rewrite as:
[tex]SE_{\bar x} = \sqrt{\frac{48.5\%}{5}}[/tex]
[tex]SE_{\bar x} = \sqrt{0.097}[/tex]
[tex]SE_{\bar x} = 0.311[/tex]
A certain type of bacteria is growing at an exponential rate that is modeled by the equation y=aekt, where t represents the number of hours. There are 100 bacteria initially, and 500 bacteria five hours later.
Answer:
meow meow
Step-by-step explanation:
Pleaseeeeeeee help me
Answer:
The answer is "The discriminant is positive"
Step-by-step explanation:
When the discriminant is positive there is two real solutions.
When the discriminant is equal to 0, there is one real solution.
When the discriminant is negative, there is no real number solutions.
The diagram shows a triangle ABC in which AB= 6 cm, BC=8 cm and ABC = 90°.
Calculate the length of AC.
The answer should be 12. please help with explanation and calculation!!!
Answer:
AC = 10
Step-by-step explanation:
This is a right triangle
use the pythagorean theorem
a² + b² = c²
6² + 8² = c²
36 + 64 = c²
100 = c²
Take the square root of both sides
10 = c
AC = 10
The correct answer is 10 not 12
A baker uses 20 cups of flour to make 4 loves of bread. Use this to solve the question in the picture!
Answer:
60 cups of flour
Step-by-step explanation:
Since it takes 20 cups of flour for 4 loves of bread this means we're going to need to multiply 20x3=60
Which side lengths form a right triangle?
Answer:
answer is option B
9² +40² =41²
81+1600=1681
Answer:
B) 9 , 40, 41
............
Is it better to buy a used car or a new car? Why
Answer: This depends on how well the used car was taken care of if the used car has no problems wrong with it and is cheaper than the unused car you are looking to buy then the used car is best if you are wanting to save money, but if the used car has problems that cost more to fix then the car cost then you should go with the unused car.
Which of the following best describes the graph of the polynomial function
below?
Answer:
Step-by-step explanation:
The given curve crosses the x-axis in two places, (-2, 0) and (0, 0), which are the zeros. This parabolic curve opens up and has its vertex (minimum) at (-1, -1).
Answer: The graph has two zeros.
Step-by-step explanation:
The given graph is the graph of parabola open upward. In the graph of parabola, we will have two solutions since the highest degree of the function is 2.
y = ax^2 + bx + c, where a, b, c are real number and a ≠ 0.
You can see the height degree of the function is 2.
Therefore, there should be two zeros of the function.
According to the given graph of parabola has two zeros at x = -2 and x = 0.
The graph cross the x-axis at x = -2 and x = 0.
Hence, the graph has two zeros.
Answer is A. The graph has two zeros
Select all expressions that at equivalent to the expression 3x + 5. A. 9x − (−5 + 6x) B. 9x − (5 − 6x) C. 9x − (6x + 5) D. 9x − (6x − 5) E. 9x − (−6x + 5)
Answer:
A. 9x − (−5 + 6x)
D. 9x − (6x − 5)
Step-by-step explanation:
Select all expressions that at equivalent to the expression 3x + 5.
To get our answer, we have to solve each option
A. 9x − (−5 + 6x)
= 9x + 5 - 6x
= 9x - 6x + 5
= 3x + 5
Option A is correct
B. 9x − (5 − 6x)
= 9x - 5 + 6x
= 9x + 6x - 5
= 15x - 5
Option B is wrong
C. 9x − (6x + 5)
9x - 6x - 5
= 3x - 5
Option C is wrong
D. 9x − (6x − 5)
= 9x - 6x + 5
= 3x + 5
Option D is correct
E. 9x − (−6x + 5)
= 9x + 6x - 5
= 15x - 5
Therefore, Option A and D are the correct options with the right expressions
(x^(2)+4x-12)/(x^(2)-25)-:(x+6)/(x^(2)-5x)
Step-by-step explanation:
PS:Thas some questoin
simplify 2⁴
please help me with this question
Answer:
16
Step-by-step explanation:
2^4= 2x2x2x2 = 16
Answer:
16
Step-by-step explanation:
Raise 2 to the power of 4.
4x2x2= 16
You're rasing 2 two times so...
4x2x2= 16
explain fully please
Answer:
whats the question..........
Which values of a, b, and c correctly represent the answer in simplest form?
3
- 2
b
32
O a=38, b= 14, C = 1
O a=1,5=14, C= 38
O a=1,b=7.C= 19
O a= 19, b=7,C= 1
Answer:
The answer for this is a=1,b=7,c=19.
Pls help me with this it's urgent!
Answer:
function is the correct answer
Answer:
an = a1 + (n - 1 ) d (Function)
Step-by-step explanation:
This is the formula that will be used when we find the general (or nth) term of an arithmetic sequence. So it is function
Solve 2x-5/x-2 ≤ 1
please answer fast
Answer:
x<=-3
Step-by-step explanation:
2x-5/x-2 <= 1
Multiply both sides by x-2
2x-5<=x-2 (anything times 1 is that number.)
add 5 to both sides
2x<=x-3
subtract x from both sides
x<=-3
Answer:
Step-by-step explanation:
[tex]\frac{2x-5}{x-2} \leq 1\\case ~1. both ~numerator~and~denominator \geq 0\\x\neq 2\\2x-5\leq x-2\\x\leq 3\\so~0\leq x<2U2<x\leq 3\\case~2.\\both~numerator~and~denominator<0\\2x-5\geq x-2\\x>3\\which~is~rejected~as~it~gives~both~2x-5~and ~x-2>0[/tex]
The equation of the line of best fit of a scatter plot is y = −8x + 3. What is the the y-intercept?
A. −8
B. −3
C. 3
D. 8
Answer:
C. 3
Step-by-step explanation:
The y intercept will always be the 'b' in the formula
y= mx+b
since your formula is y = -8x +3, and 3 is in the place of "b", your y intercept will be 3
Answer:
C.3
Step-by-step explanation:
In the equation of y = -8x +3 you can find the y - intercept by looking at number which replaces b which is a positve three. Meaning that your y - intercept would be answer choice C which is positive three.
Could someone help me solve a right triangle (all sides and angles)
angle c = 90
angle b= 62
Adjacent side is 25
Answer:
Step-by-step explanation:
If you've any doubts feel free to ask :)
(6n-25) + (3n + 20) = 180
Answer:
n = 185/9
Step-by-step explanation:
(6n-25) + (3n + 20) = 180
Combine like terms
9n -5 = 180
Add 5 to each side
9n - 5 +5 = 180+5
9n = 185
Divide each side by 9
9n/9 = 185/9
n = 185/9
I don’t know where to start
Answer:
Either 90 degrees clockwise or 90 degrees counterclockwise
Step-by-step explanation:
Answer:
First the image would need to be reflexed over y = 2
Then the x values would need to be increased by 6
(x+6, y)
Step-by-step explanation:
Which graph represents an exponential function?
On a coordinate plane, a curve decreases rapidly and then levels out.
On a coordinate plane, a curve decreases, changes directions, and then decreases again.
Answer:
A
Step-by-step explanation:
A
What are the zeros of the polynomial function y = (x - 3)(2x + 1)(x - 1)? A. 1/2, 1, 3 B. -1, 1, 3 C. -1/2, 1, 3 D. -3, 1/2, -1
Answer:
x=3 x = -1/2 x=1
Step-by-step explanation:
y = (x - 3)(2x + 1)(x - 1)
Set the function equal to zero
0 = (x - 3)(2x + 1)(x - 1)
Using the zero product property
x-3 =0 2x+1 =0 x-1 =0
x=3 2x = -1 x=1
x=3 x = -1/2 x=1
Andres went out to a restaurant for dinner. His total bill before tax and tip was $27.30. He was charged an additional 9% tax and he also paid a 15% tip on the original bill.
Answer:
$25.66
Step-by-step explanation:
Given data
Total Bill before tax and tip= $27.30
Tax= 9%
Tip= 15%
Let us find the tax
=9/100*27.30
=0.09*27.30
=$2.457
Let us find the tip
=15/100*27.30
=0.15*27.30
=$4.095
Therefore his bill after tax and tip is
=27.30+2.457-4.095
=$25.66
The area of a triangle is 92 and its height is 23 what is its base?
Answer:
7.36
Step-by-step explanation:
Area=92
Height=23
Base=?
Area=1/2*base*height
92=1/2*23*height
92=12.5*height
920/125=height
7.36=height
Pleae mention unit in answer
Mark me as brainliest
Write the expression using an exponent.
1·7·7·7·7·7
Answer:
7⁵
Step-by-step explanation:
An exponent indicates how many times a number multplies itself.
Examples:
2² = 2* 2
2⁴ = 2 * 2 * 2 * 2
determine tan(t) if cos(t) = -12/13 and sin(t)
Determine tan(t) if cos(t) = -12/13 and sin(t) = 5/13
Answer:tan(t) = [tex]\frac{-5}{12}[/tex]
Step-by-step explanation:Method 1:
The sketch of the trigonometry is attached to this response.
Since cos(t) is negative and sin(t) is positive, then t should be in the second quadrant as shown in the sketch. A triangle is formed.
We know that, in a given triangle, the cosine of a given angle is the ratio of the adjacent side to the hypotenuse side.
i.e
cos (t) = adjacent / hypotenuse = - 12 / 13
Where;
adjacent = -12 [the adjacent side is in the -x direction]
hypotenuse = 13
Also, the sine of a given angle is the ratio of the opposite side to the hypotenuse side.
sin (t) = opposite / hypotenuse
Where;
opposite = 5
hypotenuse = 13
These sides - opposite, adjacent and hypotenuse - are labelled in the sketch.
From this triangle and the labels, the tangent can be found.
We know that the tangent of a given angle is the ratio of the opposite side to the hypotenuse side. i.e
tan (t) = opposite / adjacent
Where;
opposite = 5
adjacent = -12
Therefore,
tan (t) = [tex]\frac{-5}{12}[/tex]
Method 2:
The tangent of an angle is the ratio of the sine of that angle to the cosine of that angle. i.e
tan(t) = sin(t) / cos (t) ---------------(i)
sin(t) = 5 / 13
cos(t) = -12 / 13
Substitute for sin(t) and cos (t) in equation (i)
tan(t) = [5 / 13] / [-12 / 13]
tan(t) = [5 / 13] x [-13 / 12]
tan(t) = [tex]\frac{5}{13} * \frac{-13}{12}[/tex]
tan(t) = [tex]\frac{-5}{12}[/tex]
A mechanic has a set fee for working on someone's automobile and charges by the hour for making repairs. The total cost of her services (yes she
female mechanic), is c(t) = 100t + 90. Which statement(s) about this function is true?
1. The one time fee for working on the car is $90.
II. The mechanic charges $100 per hour.
III. The number of hours the job takes is represented byt
a. I and III
b. I, II, and III
c. I and II
d. ll and III
helpppppppppppppppppppppppppppppppppp!!!!!!!!!
ally and bo share 60$ how much money does bo get
Answer:
If Ally and Bo share evenly, Bo will get 30$, so will Ally. The half of 60 is 30.
the volume of this triangular prism is ….. cubic inches. please someone help, will give brainliest asap ❤️❤️❤️❤️❤️
Answer:
576'' squared
Step-by-step explanation:
Help!! Please also explain how you got your answer
Answer:
y = -½x + 4
Step-by-step explanation:
the line passes point of y-intercept (0, 4) ,
and another point (6, 1)
the slope = (1-4)/(6-0) = (-3)/6 = -½
so the Equation is y = -½x + 4