Answer: C(t) = 8 + 7t
Step-by-step explanation: 15 for first hour. 15 is constant and every hour after that is counted (t-1)·7, so 15 + 7(t-1) = 15 +7t - 7 = 8 + 7 t .
So when t = 1 C(1) = 15
Elite parking charges cost $15 for the first hour and then $7 for each additional hour then the equation for this will be C = $15 + $7(t).
What is an equation?Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.
As per the statement mentioned in the question,
Elite parking charges $15 for the first hour which is a constant value.
An additional charge is $7 for every extra hour.
So, the equation according to this is,
C = $15 + $7(t).
Here, C is the total cost and t is the number of hours of car parking, if the number of hours will increase the cost will also increase.
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A game company gave each customer one game to test and asked whether he or she would recommend the game. What is the probability that a customer who would recommend his or her game tested Game A?
Answer:
1/2 = 0.5
Step-by-step explanation:
Given that the game company gave each customer a single game for testing
There is definitely just two outcomes, i.e. the customer will either recommend the game or Not recommend the game.
since we do not have additional information regarding what might influence the decision of the customer, hence the probability of either recommending the tested game or not recommending the game will be equal
∴P ( recommending tested game ) = 1 - 0.5 = 0.5
Find the roots of the Equation 16+x^2=0
Answer:
x = 0 or x = - 16
Step-by-step explanation:
16+x^2=0
x ( x + 16 ) = 0
using the algebra rule a . b = a = 0 and b = 0
x = 0 or x = - 16
so the answer is x = 0 and x = -1 6
Mark brainliest plsssssssssss
can I have help, please
simplify 5t + 8t - 12t (with explaining the steps)
Answer:
Hello There!!
Step-by-step explanation:
Combine like terms:
•5t+8t-12t
•5t+8t=13t
•13t-12t=1t
•1t=t
hope this helps,have a great day!!
~Pinky~
Answer:
T
Step-by-step explanation:
See the steps below:)
What is the 46th term of the arithmetic sequence shown below? -1,-5,-9,-13,-17,-21,...
Answer:
-181
Step-by-step explanation:
According to the arithmetic calculator, it should be this.
Determine whether each expression is equivalent to 10^t^2+2t-3
All answer choices are equivalent
All the expressions given in option is equivalent to the expression
([tex]10^{t^{2}+2t-3 }[/tex])
What is an expression?An expression in maths, a sentence with a minimum of two numbers or variables and at least one maths operation. This maths operation can be addition, subtraction, multiplication, or division.
Given is an expression, ([tex]10^{t^{2}+2t-3 }[/tex])
We know, when equal base get multiplied with different powers, the power get added and in case of division they get subtracted,
([tex]10^{t^{2}+2t-3 }[/tex]) = [tex]10^{t^{2} }[/tex]x[tex]10^{2t}[/tex]x[tex]10^{-3}[/tex]
[tex]10^{t^{2} }[/tex]x[tex]10^{2t}[/tex]x[tex]10^{-3}[/tex] = [tex]\frac{10^{t^{2} +2t } }{1000}[/tex]
When we factorize, t²+2t-3, we get,
t²+2t-3 = (t+3)(t-1)
Therefore, ([tex]10^{t^{2}+2t-3 }[/tex]) = [tex]10^{t^{2} }[/tex]x[tex]10^{2t}[/tex]x[tex]10^{-3}[/tex] = [tex]\frac{10^{t^{2} +2t } }{1000}[/tex] = [tex]10^{(t+3)(t-1)}[/tex]
Hence, we can say that, All the expressions given in option is equivalent to the expression ([tex]10^{t^{2}+2t-3 }[/tex])
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What number makes the expressions equivalent?
12(−1.4+0.4)=?+0.2
1
2
(
-
1
.
4
m
+
0
.
4
)
=
?
m
+
0
.
2
–1.4
1.4
–0.7
0.7
Answer:
-11,8 or 11,8........both are correct
Austin’s monthly gross pay is $4,200. Federal withholding is 16.05% of his pay. His other deductions total $321.30. What is his net pay.
Answer:
[tex]gross \ pay = 4200\\\\federal \ deduction = \frac{16.05}{100} \times 4200 = 674.10\\\\Net \ pay = 4200 - 674.10 -321.30= 3204.60[/tex]
Amy is packing up 434 books to ship a customer. She can fit 8 books in each box. How manky boxes will Amy need to use to ship the the entire order
Answer:
55
Step-by-step explanation:
the real answer would be 54.25 but you have to round
Step-by-step explanation:
434/8= 54.25
We can't have a decimal of a box, so,
55 boxes
Match each series with the equivalent series written in sigma notation
Answer:
[tex]3 + 12 + 48 + 192 + 768 = \sum\limits^4_{n=0} 3 * 4^n[/tex]
[tex]4 + 32 + 256 + 2048 + 16384 = \sum\limits^4_{n=0} 4 * 8^n[/tex]
[tex]2 + 6 + 18 + 54 + 162 = \sum\limits^4_{n=0} 2* 3^n[/tex]
[tex]3 + 15 + 75 + 375 + 1875 = \sum\limits^4_{n=0} 3* 5^n[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required
Match equivalent expressions
Solving (a):
[tex]3 + 12 + 48 + 192 + 768[/tex]
The expression can be written as:
[tex]3 \to 3*4^{0[/tex] --- 0
[tex]12 \to 3 * 4^{1[/tex] ---- 1
[tex]48 \to 3 * 4^{2[/tex] --- 2
[tex]192 \to 3 * 4^{3[/tex] ---- 3
[tex]768 \to 3 * 4^{4[/tex] ---- 4
For the nth term, the expression is:
[tex]Term = 3 * 4^{n[/tex] ---- n
So, the summation is:
[tex]3 + 12 + 48 + 192 + 768 = \sum\limits^4_{n=0} 3 * 4^n[/tex]
Solving (b):
[tex]4 + 32 + 256 + 2048 + 16384[/tex]
The expression can be written as:
[tex]4 \to 4 * 8^0[/tex] --- 0
[tex]32 \to 4 * 8^1[/tex] ---- 1
[tex]256 \to 4 * 8^2[/tex] --- 2
[tex]2048 \to 4 * 8^3[/tex] ---- 3
[tex]16384 \to 4 * 8^4[/tex] ---- 4
For the nth term, the expression is:
[tex]Term \to 4 * 8^n[/tex] ---- n
So, the summation is:
[tex]4 + 32 + 256 + 2048 + 16384 = \sum\limits^4_{n=0} 4 * 8^n[/tex]
Solving (c):
[tex]2 + 6 + 18 + 54 + 162[/tex]
The expression can be written as:
[tex]2 \to 2 * 3^0[/tex] --- 0
[tex]6 \to 2 * 3^1[/tex] ---- 1
[tex]18 \to 2 * 3^2[/tex] --- 2
[tex]54 \to 2 * 3^3[/tex] ---- 3
[tex]162 \to 2 * 3^4[/tex] ---- 4
For the nth term, the expression is:
[tex]Term \to 2 * 3^n[/tex] ---- n
So, the summation is:
[tex]2 + 6 + 18 + 54 + 162 = \sum\limits^4_{n=0} 2* 3^n[/tex]
Solving (d):
[tex]3 + 15 + 75 + 375 + 1875[/tex]
The expression can be written as:
[tex]3 \to 3 * 5^0[/tex] --- 0
[tex]15 \to 3 * 5^1[/tex] ---- 1
[tex]75 \to 3 * 5^2[/tex] --- 2
[tex]375 \to 3 * 5^3[/tex] ---- 3
[tex]1875 \to 3 * 5^4[/tex] ---- 4
For the nth term, the expression is:
[tex]Term \to 3 * 5^n[/tex] ---- n
So, the summation is:
[tex]3 + 15 + 75 + 375 + 1875 = \sum\limits^4_{n=0} 3* 5^n[/tex]
Write an equation that represents the line.
Use exact numbers.
ting sio
Answer:
y = 3/4x + 2
Step-by-step explanation:
By looking at the graph, we can easily see that the y-intercept (where the line passes through y) is 2. In the equation y = mx + b. B is the y-intercept. So at the moment, we have, y = mx + 2. Now to find the slope which will take place over "m" all we need is the rise over run. To get this we will look at the points provided, count up the amount to get to the next point above then count to left/right to the point. For this we count up 3 points and 4 points to the right. So we finally get y = 3/4x + 2.
(3/4 = 0.75 if decimal is needed)
If you live in a rectangular city that is 1 mile along the southern border and contains 1000 people, what is the density of people in the city?
Group of answer choices
A. We cannot calculate this value.
B. 1000 people per square mile
C. 1 person per square mile
D. 100 people per square mile
Answer:
A. We cannot calculate this value.
Step-by-step explanation:
Had it on my test c:
We cannot calculate this value because the width is not given so we cannot find the area of the region option (A) is correct.
What is population density?It is defined as the ratio of the population to the total area. The population density represents the average number of people living on each square unit.
We have:
If you live in a rectangular city that is 1 mile along the southern border and contains 1000 people,
As we know,
population density = number of people/area of the region
As we have a rectangular city,
The area of the city = length×width
Width is not given so we cannot find the area of the region.
Thus, we cannot calculate this value because the width is not given so we cannot find the area of the region option (A) is correct.
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Find the surface area. 10 ft 3 ft 5ft
Answer:
5.7 feet i think
Step-by-step explanation:
Please help out I can’t really love this
========================================================
Explanation:
When we divide two fractions like this, we flip the second fraction and multiply like so...
[tex]\frac{5}{7} \div \frac{8}{9}\\\\\frac{5}{7} \times \frac{9}{8}\\\\\frac{5 \times 9}{7 \times 8}\\\\\frac{45}{56}\\\\[/tex]
which points us to choice B as the answer.
The fraction 45/56 cannot be reduced further because 45 and 56 do not have any factors in common other than 1.
Answer:
45/56
Step-by-step explanation:
5/7 ÷ 8/9
Copy dot flip
5/7 * 9/8
5*9 =45
7*8 = 56
45/56
For a going-out-of-business sale, a jewelry shop owner
marks all of the store's merchandise 50% off. The price
tag on a necklace indicates that it is an additional 20%
off the sale price. If the original price of the necklace was
$600, what will it cost after the discounts?
Answer:420
Step-by-step explanation:
600 x 0.70 is 420. so 600 minus 420 is 180
A shopkeeper earns a profit of Rs. 1 by selling a pencil and a loss of 20 paisa by selling an eraser. In a given day he had a loss of Rs. 10. On this day, he sold 35 pencils. How many erasers were sold on this day
Given :
A shopkeeper earns a profit of Rs. 1 by selling a pencil and a loss of 20 paisa by selling an eraser.
To Find :
In a given day he had a loss of Rs. 10. On this day, he sold 35 pencils. How many erasers were sold on this day.
Solution :
Money earned by selling 35 pencils.
P = 35 × 1 = Rs 35 .
Now, it is given that he had a loss of Rs 10 .
Therefore, amount of loss done by money is :
E = 35 + 10
E = Rs 45
Now, number of erase sold :
[tex]n = \dfrac{E}{0.2}\\\\n = \dfrac{45}{0.2}\\\\n = 225\ erasers[/tex]
Hence, this is the required solution.
(NR) Natural Resources:Question 10
Which statement best describes why large aquifers of groundwater are distributed unevenly
around the earth?
Answer: D) Groundwater collects only where the soil and geological features allow water to seep down into underground chambers.
In other words, as long as there are gaps to allow water through, then that would lead to underground aquifers. Another important component is the amount of rain water that happens. Sources such as rivers, lakes and streams are also a contributing factor.
Stuff like earthquakes, volcanic activity, and continental movement doesn't really have much an effect on where or how aquifers form. It's really all about the soil type and how the landscape is formed, and of course the other factors mentioned in the previous paragraph.
If Uber charges a $4.15 pickup fee plus $1.12 per mile, which equation can be used to calculate the cost of a ride of
x
x miles?
Answer:
4.15+1.12x
Step-by-step explanation:
So lets go over what we know.
The cost of a pickup is 4.15 dollars.
The cost of the pickup fee increases by 1.12 dollars per mile.
So when we start off, it will orginate as 4.15 dollars.
We know that this price is going to be increased by the other value, so we can write it as:
4.15+
We know that for each mile, this price goes up by 1.12.
If we went 10 miles, for instance, it would be 1.12 10 times, or 11.2 dollars.
So we know that thr 4.15 will be increased by 1.12 times the amount of miles.
Or:
4.15+1.12*m
=
4.15+1.12m.
Hope this helps!
What is the approximate area of a circle with a diameter of 10 in?
A. 314 in2
B. 78.5 in2
C. 31.4 in2
D. 15.7 in2
Answer:
Hello! answer: 78.5 in2
Step-by-step explanation:
IMPORTANT ATTENTION: Im using 3.14 for pi so answers might vary if you are using say 22/7 for pi so please know that since this problem doesn't tell to use a certain method I will use 3.14
area can be found by doing radius × radius × 3.14 so... diameter is just twice the radius so... 10 ÷ 2 = 5 5 × 5 = 25
25 × 3.14 = 78.5 therefore 78.5 is the answer HOPE THAT HELPS!
The approximate area of a circle with a diameter of 10 in is,
⇒ Area of circle = 78.5 in²
Given that;
Diameter of circle = 10 in.
Now, We know that;
⇒ Area of circle = πr²
Where, 'r' is radius of circle.
Here, Diameter of circle = 10 in.
Hence, Radius = 10 / 2 = 5 in
Thus, We get;
⇒ Area of circle = πr²
⇒ Area of circle = 3.14 x (5)²
⇒ Area of circle = 78.5 in²
Thus, The approximate area of a circle with a diameter of 10 in is,
⇒ Area of circle = 78.5 in²
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HELPPPPPPPPPPPPPPPPPPP I’LL MARK YOU BRAINLIST SHOW WORK
Answer:
(-1,-1)
Step-by-step explanation:
From the diagram you can see that the two equation crossed each other at this point
A line, line segment, or ray that intersects a line segment at its midpoint is a segment bisector. True or fals?
Answer:
true.
Step-by-step explanation:
hope this helps, i looked it up :)
Find the value of y when x=3.
y=10-3x
y=
Answer:
10
Step-by-step explanation:
PLEASE HELP ME!! I APPRECIATE IT
Answer:
C
Step-by-step explanation:
The diagonal of a rectangle is 25 in. The width is 15 in. What is the area of the rectangle
graph (-5,0) (9,0) (8,-39)
Answer:
just plot the coordinates down on graph and then u'll have them graphed
Step-by-step explanation:
I don't know I'm too lazy 2 put an explanation
a person jogs 1/6 mile in 1/42 hour. what is the person's speed in miles per hour
out of 2 billion person trips, 75 percent were leisure travel. what was the number of person trips for leisure travel?
The number of personal trips for leisure travel will be equal to 1.5 billion.
What is the percentage?The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that out of 2 billion person trips, 75 per cent were leisure travel.
The number of the person trips will be calculated as,
N = ( 2 x 75 ) / 100
N = 150 / 100
N = 1.5 Billion
Therefore, the number of personal trips for leisure travel will be equal to 1.5 billion.
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Which question is a statistical question? A Which U.S. States have mountains?Which U.S. States have mountains? B Which mountain range do U.S. Citizens most enjoy visiting?Which mountain range do U.S. Citizens most enjoy visiting? C How many mountain ranges are in the U.S.?How many mountain ranges are in the U.S.? D How tall is the tallest mountain in the U.S.?
Answer: C. How many mountain ranges are in the U.S.
Step-by-step explanation:
A statistical question first of all has to have a quantitative response i.e., answers should be in numbers.
The only two questions here that would yield a numeric answer are options C and D.
Furthermore, a statistical question has variability in it which means that the answer is based on multiple observations not just one. The observations in option C are mountain ranges and as the question requires finding out details about multiple mountain ranges, this is a statistical question.
This is opposed to option D which addresses issues surrounding just one mountain.
Amelia needs to buy some dog food. At the nearest store, 2 bags of dog food cost $7.50. How much would Amelia spend on 5 bags of dog food?
Answer: $18.75
Step-by-step explanation: Each bag cost $3.75 individually.
The perimeter of a regular pentagon is 60 meters. How long is each side of the
pentagon?
Answer and Step-by-step explanation:
To find out how long each side is, divide 60 by 5 (since there are 5 sides in a pentagon).
60 divided by 5 = 12.
Each side is 12 meters long.
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