The function that represents the charges is [tex]t_{n}=[/tex] 10 + (n- 1 )12
What is the function representing the charges ?Here, let us apply Arithmetic sequence Let the charges for the first hour = a = $10 Let the common difference = d = $12The formula for the nth term is given by
[tex]t_{n}=[/tex] a +(n-1)d
The function that represents the charges is given by,[tex]t_{n}=[/tex] a +(n-1)d
[tex]t_{n}=[/tex] 10 + (n- 1 ) 12
a ) First hour
n = 1
[tex]t_{1 }=[/tex] 10 + (1- 1 ) 12
= 10
b ) Second hour
n = 2
[tex]t_{2 }=[/tex] 10 + (2- 1 ) 12
= 10 + 12
= 22
c ) Third hour
n = 3
[tex]t_{3}=[/tex] 10 + (3- 1 ) 12
= 10 + 24
= 34
d ) Fourth hour
n = 4
[tex]t_{4 }=[/tex] 10 + (4- 1 ) 12
= 10 + 36
= 46
e ) Fifth hour
n = 5
[tex]t_{4 }=[/tex] 10 + (5- 1 ) 12
= 10 + 48
= 58
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Four crayons are packaged in a row, three primary colors are touching. If neither is red or blue, which crayon is first
Answer:
yellow
Step-by-step explanation:
Plz help! If you can’t answer all the questions it’s ok just answer at least one but all would be great! You will get a brainly!
Answer:
1. 1.5 2. 84000 4. 3.9
Step-by-step explanation:
Please help me I can’t figure out how to solve
Answer: The answer is 20
Step-by-step explanation:
x-9.5=10.5
+9.5 +9.5
10.5+9.5=20
20-9.5=10.5
I hope this helps if so please mark brainliest
Please help me one more time
Answer: 24
Yes (x-2) is a factor. There is a remainder.
Step-by-step explanation:
2³-8•2²+14•2-4
8-8•4+14•2-4
0•4+14•2-4
0+14•2-4
14•2-4
28-4
24
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A cab company charges a $3.95 flat fee for rides up to 15 miles. For rides over 15 miles, the company charges the $3.95 flat fee and $1.25 per mile for every mile over 15 miles up to 75 miles. For rides over 75 miles the company charges a flat fee of $78.95 and $0.75 per mile over 75 miles. Using this information, write an equation that represents the total cost of the trip as a function of the number of miles traveled. (Remember: Identify your input and output variables, and use proper notation – I recommend you handwrite your function and add a picture in to this document)
Answer:
There are three intervals depending on the mileage:
0 - 15 miles15 - 75 milesMore than 75 milesFor each interval we have different cost and equation
Let miles = x, cost = y, then the equations are:
0 < x ≤ 15 ⇒ y = 3.9515 < x ≤ 75 ⇒ y = 1.25x + 3.95x > 75 ⇒ y = 0.85x + 78.95Step-by-step explanation:0 - 15 miles
15 - 75 miles
More than 75 miles
For each interval we have different cost and equation
Let miles = x, cost = y, then the equations are:
0 < x ≤ 15 ⇒ y = 3.95
15 < x ≤ 75 ⇒ y = 1.25x + 3.95
x > 75 ⇒ y = 0.85x + 78.95
Which of the following expressions are equivalent to -9/j?
A: 9/-j
B: - -9/j
C: none of the above
Answer:
A
Step-by-step explanation:
-9/j is the same as 9/-j
Vaughn threw the shot put 9 yards at a track meet. The official used a tape measure to measure the distance in feet. How many feet did he throw the shot put?
Answer:
27 feet
Step-by-step explanation:
There are 3 feet in 1 yard. 9×3=27
Mike bought 46 dozen eggs from the grocery store to bake some cakes how many eggs did mike buy
Answer:
552 eggs
Step-by-step explanation:
A dozen is equal to 12
Solve:
Multiply 46 by 12
A used automobile dealership recently reduced the price of a used compact car by 10%. If the price of the car before discount was $18,100, find the discount and the new price.
The discount in price is $
Thus, the new price is $
Answer:
A. $1,810, B. $16,290
Step-by-step explanation:
A. $18,100 * 0.10 = $1,810
B. $18,100 - $1810= $16,290
HELP PLEASE Find the surface area of the 3D shape.
Answer:
88 cm^2
Step-by-step explanation:
Answer:
Its totally (A) 88cm2
Step-by-step explanation:
Cause i got it right
Find the equation of the line passing through the points (-2,8) and (8,- 7). Write the equation in
slope-intercept form.
Answer:
Step-by-step explanation:
[tex]y=mx+b\\ \\ m=\frac{-7-8}{8-\ -2}=\frac{-15}{10}=\ -\frac{3}{2}\\ \\ y=\ -\frac{3x}{2}+b,\ (-2,8)\\ \\ 8=\ -\frac{3(-2)}{2}+b\\ \\ 8=3+b,\ b=5\\ \\ y=\frac{10-3x}{2}[/tex]
Answer: y = - 3/2x + 5
Step-by-step explanation:
To write the equation in slope intercept form, you will have to find the slope and the y-intercept.
(-2,8) (8,-7)
To find the slope using these points, you will find the difference in the y coordinates and divide it by the difference in the x coordinates.
-7 - 8 = - 15
8 - (-2) = 10
Slope: -15/10 = -3/2
The slope is -3/2
Now using the formula y=mx+b , use one of the given points and the slope to solve for b , which is the y-intercept.
8 = -3/2(-2) + b
8 = 3 + b
-3 -3
b = 5
What would the figure below look like after a reflection across the x-axis?
an isosceles triangle has congruent sides of 20 cm. the base is 10 cm. Find the height of the triangle. Round to the nearest tenth. (Pythagorean theorem)
Answer:
The height of the triangle would be
5
√
15
c
m
or
19.36
c
m
Step-by-step explanation:
Can anyone help with condensing this?
Answer:
log 16x^7.
Step-by-step explanation:
log 4 + 2 log 2 + 7 log x
= log4 + log 2^2 + log x^7
= log (4*4*x^7)
= log 16x^7.
-a^2+7b^4-2c^3 if a= -4 b= -2 and c=-3
Step-by-step explanation:
-(-4)²+7(-2)⁴-2(-3)³
=16+7(16)-2(-27)
=15+112+54
=181
The evaluation of the expression is 150.
What is an expression?In mathematics, expression is the combination of variables with the application of operations and prescribed rules. It might take the shape of an equation, some numbers, etc.
The given expression is:
-a² + 7b⁴ -2c³
Substituting, a= -4 b= -2 and c=-3
-a² + 7b⁴ -2c³
= -(-4)² + 7(-2)⁴ -2(-3)³
= -16 + 7 x 16 + 54
= 150
Therefore, the value of the expression is 150.
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help plz!! Marking most Brainly :)))
Answer: A
Step-by-step explanation:
12 black cards / 20 cards in all.
20 x 5 = 100, 12 x 5 = 60
describe the graphs of 3x - y = 4 and y = 3x + 2?
Answer:
3X-y=4
3x=4+y
3x-4=y
y=3x-4
Step-by-step explanation:
y=3x+2
y-2=3x
3x=y-2
x=y-2/3
I hope this answer help you
Please help right now which of the following is a major challenge to volcano preparedness
Answer:
D or C I think
Step-by-step explanation:
How do someone overrun so much lava and disaster kits are eated by lava so
13x+7=215
×=
Solve the equation and enter the value of x
Answer:
x=16, have a great day
Step-by-step explanation:
Answer:
x = 16
Step-by-step explanation:
13x + 7 = 215
13x = 208 (Subtract 7 from both sides.)
x = 16 (Divide both sides by 13)
Write the fraction in simplest form. *
8/12
Answer:
2/3
Explanation:
/////////////
Find the missing length. If needed, round to the nearest tenth.
B
6
7
5
Х
A
The value of x is
Answer:
x=5.8
Step-by-step explanation:
5/6=x/7
cross multiply
6x=35
x=35/6
x=5.8
em um campeonato de ciclismo um atleta precisou percorrer 54 000 m para a faixa de Chegada Sabendo que Ele demorou 7 2000 Segundos a Concluir a Corrida qual foi dua Velocidade Media em Km/h?
Answer:
Average speed in km / h = 2.7 km/h
Step-by-step explanation:
Given:
Total distance = 54,000 m
Total time = 72,000 sec
Find:
Average speed in km / h
Computation:
Average speed = Distance / Time
Average speed = 54,000 / 72,000
Average speed = 0.75 m/s
1 m/s = 3.6 km/h
So,
Average speed in km / h = 0.75 x 3.6
Average speed in km / h = 2.7 km/h
In a recent survey of 1,000 randomly selected registered voters in the town of Armstrong, 803
are in favor of installing bicycle safety signs. Based on the survey results, approximately how
many of Armstrong's 16,092 registered voters are in favor of installing bicycle safety signs?
A. 803
B. 3,170
C. 12,922
D. 15,092
Answer:
12,922
Step-by-step explanation:
estimate = 16,092 * 803/1,000 = 12,922
Tell whether the ordered pair is a solution to the system of linear equations. 1 point
(-2,-1); 2x – 4y= -8
6x + 5y = -7
Yes
No
Maybe
Tell whether the ordered nair is a solution to the
Answer:
Tell whether the ordered pair is a solution to the system of linear equations. 1 point
(-2,-1); 2x – 4y= -8
6x + 5y = -7
No
300x + 20 + 5x + 10 -40x2 =
Step-by-step explanation:
[tex]305x + 30 - 80 \\ 305x - 50 \\ 305x = 50 \\ x = \frac{305}{50} \\ x = \frac{61}{10} [/tex]
All the fractions that are equivalent to 4/5 A. 6/10 B. 8/10 C. 8/15 D. 10/15 E. 12/15
Answer:
B.8/10,E.12/15
Step-by-step explanation:
4/5×2=8/10
4/5×3=12/15
SHAYNA FREEL PLANS TO BUY $17.45 WORTH OF STATIONERY SUPPLIES. IF THE SALES TAX IS 13%, HOW MUCH WILL SHAYNA PAY?
9514 1404 393
Answer:
$19.72
Step-by-step explanation:
The sales tax is 13% of $17.45:
0.13 × $17.45 = $2.27 . . . . . . rounded (up) to the nearest cent
Then the total Shayna will pay is ...
$17.45 +2.27 = $19.72
a circle with the diameter of 40 inches. what is the area?
Answer:
A= 1256
Step-by-step explanation:
The formula for area of a circle is [tex]A=\pi r^{2}[/tex]
1. Diameter is DOUBLE of radius, so the diameter must be divided by 2. 40/2 = 20.
2. Then, plug in the values into the area formula. A= 3.14[tex](20^{2})[/tex]
3. Solve. A= 1256. (Remember that 20 squared is 20x20)
8 more than twice a number is greater than negative 18. Solve the inequality for the unknown number.
Answer:
x > -13
Step-by-step explanation:
Let x be the number
2x+8 > -18
Subtract 8 from each side
2x+8-8 > -18-8
2x> -26
Divide each side by 2
2x/2 > -26/2
x > -13
Answer:
x > -13
Step-by-step explanation:
Let x be the number
2x+8 > -18
Subtract 8 from each side
2x+8-8 > -18-8
2x> -26
Divide each side by 2
2x/2 > -26/2
x > -13
Elizabeth and McKenna are going to the county fair on free student admission night. Elizabeth and McKenna will be able to get in the fair for free however the fair charges $2 per ride. The girls want to know how many ride they can ride and how much will it cost them.WRITE AN EQUATION TO SHOW THE REALTIONSHIP between the independent and dependent variables?!?! ASAP I NEED ANSWER