The length of the line is 1712.12 miles if there were often long lines of cars waiting at gas stations. If there were a million cars in line, bumper to bumper.
Given :
What is average?
It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
There were often long lines of cars waiting at gas stations. If there were a million cars in line, bumper to bumper.
The average length = 9.04 feet
The length of the line can be found as follows:
= 9.04 * 1,000,000
The length of the line = 9,040,000 feet/5280 feet (1 mile)
= 1712.12 miles
Thus, the length of the line is 1712.12 miles if there were often long lines of cars waiting at gas stations. If there were a million cars in line, bumper to bumper.
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a and b are positive integers and a-b=2. Evaluate the following:
9^1/2b/3^a
Answer:
[tex] \frac{1}{ 9 }[/tex]
Step-by-step explanation:
[tex] \huge \frac{ {9}^{ \frac{1}{2}b } }{ {3}^{a} } \\ \\ = \huge \frac{ {( {3}^{2} )}^{ \frac{1}{2}b } }{ {3}^{a} } \\ \\ = \huge \frac{ { {3}}^{2 \times \frac{1}{2}b } }{ {3}^{a} } \\ \\ \huge = \frac{ {3}^{b} }{ {3}^{a} } \\ \\ \huge = \frac{1}{ {3}^{a - b} } \\ \\ \huge= \frac{1}{ {3}^{2} } \\ ( \because \: a - b = 2)\\ \\ \huge = \frac{1}{ 9 }[/tex]
The evaluation of the expression 9^((1/2)b)/3^a is 1/9
What are some basic properties of exponentiation?If we have a^b then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).
Exponentiation(the process of raising some number to some power) have some basic rules as:
[tex]a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\\\ a^b \times a^c = a^{b+c} \\\\^n\sqrt{a} = a^{1/n} \\\\(ab)^c = a^c \times b^c\\\\a^b = a^b \implies b= c \: \text{ (if a, b and c are real numbers and } a \neq 1 \: and \: a \neq -1 )[/tex]
Now, for this case, we are given that:
a - b = 2
The expression is:
[tex]\dfrac{9^\dfrac{1}{2}b}{3^a}[/tex]
Since we know that [tex]3^2 = 9[/tex], thus:
[tex]\dfrac{9^{\frac{1}{2}b}}{3^a} = \dfrac{(3^2)^{\frac{1}{2}b}}{3^a} = \dfrac{3^{2 \times 1/2 \times b}}{3^a} = \dfrac{3^b}{3^a} = \dfrac{1}{3^{a-b}}[/tex]
Since a-b = 2, therefore, we get:
[tex]\dfrac{9^{\frac{1}{2}b}}{3^a} =\dfrac{1}{3^{a-b}} = \dfrac{1}{3^2}} = \dfrac{1}{9}[/tex]
Thus, the evaluation of the expression 9^((1/2)b)/3^a is 1/9
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And expression is shown below f(x)=2x^2-x-10 party what are the X intercepts of the graph of f(x) show your work part B is the vertex of the graph of f(x) going to be a maximum or minimum what are the coordinates of the vertex justify your answer in show your work part C what are the steps you would use to graph f(x) justify that you can use the answer is obtained in part a and part B to draw the graph
Answer:
3
Step-by-step explanation:
» Quinn is a contestant on a quiz show. Quinn's score changes by -15 points for 4 questions in a row. D *) What is the total change in Quinn's score?
Answer:
-60
Step-by-step explanation:
PLSSSSS HELPPP solve for x, round to nearest tenth
Answer:
17.6
Step-by-step explanation:
What is the domain and range for function A?
Answer:
Domain → (-∞, ∞)
Range → (-∞, 5)
Step-by-step explanation:
Domain of a function is a set of x-values (input values) for which the function is defined.
Function A is a quadratic function (in the form of a parabola) opening downwards.
This function is defined for every input value from negative infinity to positive infinity.
Therefore, domain of the given function A is (-∞, ∞).
Similarly, y-values (output values) vary from negative infinity to 5.
Therefore, range of the given quadratic function will be (-∞, 5).
see image
thanks so much!!!
it’s about dilations
BRAINLIEST
a. 7 sqrt of 2
b. 14
c. 7
d. 7 sqrt of 3
Answer:
(a). 7√2
Step-by-step explanation:
Solve the 4 letter code please I need it before midnight, it's not a word.
9514 1404 393
Answer:
EAGI
Step-by-step explanation:
Your choices are correct except for "B". Graph 3 has a dashed line, so the inequality symbol is <, not ≤.
I need help on 13. Please someone help me. Don’t put a link. Please help me.
Answer and Step-by-step explanation:
How to know if the side lengths can form a triangle:
Add together two of the lowest numbers. If it is greater than the largest number, it can form a triangle.
13. Yes, these side lengths can form a triangle.
-- 4 + 5 = 9.
-- 9 is greater than 7, the largest length.
14. No, these side lengths can't form a triangle.
-- 2 + 3 = 6
-- 6 is equal to 6, not greater than.
15. Yes, these side lengths can form a triangle.
-- 2 + 4 = 6
-- 6 is greater than 5, the largest number.
16. Yes, these side lengths can form a triangle.
-- Don't get confused when you see that there are two side lengths that are the same (it means that this is an isosceles triangle); the rules still apply.
-- 2 + 8 = 10
-- 10 is greater than 8, the largest number.
17. Yes, these side lengths can form a triangle.
-- 5 + 6 = 11
-- 11 is greater than 9, the largest number.
18. Yes, these side lengths can form a triangle.
-- 4 + 5 = 9
-- 9 is greater than 8, the largest number.
I hope this helps!!
#teamtrees #PAW (Plant And Water)
Using the pattern, give the coefficients of (x + y)^5 and (x + y)^6
Answer:
6,y,5,
5,7,1,9,0 ok
tjis is a anwers
help ? im bad at math lol-
Answer:
c) 6 ft
Step-by-step explanation:
3^2+5^2 = 9+25 = 34
sqrt34 = approx 6
if f (x) =5x^{2} what is 3 f (x) ?
Answer:
15x²
Step-by-step explanation:
Given
f(x) = 5x² , then
3f(x) = 3 × 5x² = 15x²
If C = q^2-2+q and D = 3q^2+2q, find an expression that equals 3C - 3D in standard form.
Please help ;-;
Answer:
- 9q² - 3q - 6
Step-by-step explanation:
3C - 3D
= 3(q² - 2 + q) - 3(3q² + 2q) ← distribute parenthesis
= 3q² - 6 + 3q - 9q² - 6q ← collect like terms
= - 9q² - 3q - 6
The required expression is - 9q² - 3q - 6 which equals 3C - 3D in standard form.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The expression is given in the question as follows:
3C - 3D ....(i)
We have to determine the resultant expression that could represent the standard form.
As per the question, we have the equations
C = q² - 2 + q and D = 3q² + 2q
Substitute these equations into the expression (i):
3(q² - 2 + q) - 3(3q² + 2q)
Apply the distributive property of multiplication,
3q² - 6 + 3q - 9q² - 6q
Combine the likewise terms in the above expression,
- 9q² - 3q - 6
Thus, the resultant expression is - 9q² - 3q - 6.
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The sum of two numbers is 52 . The larger number is 2 less than twice the smaller number .What are the numbers
Answer:
35.34 and 16.66
Step-by-step explanation:
Given data
let the numbers be x and y
the smaller number = x
the larger number = y
x+y=52--------1
The larger number is 2 less than twice the smaller number
y=2x-2-------2
put y= 2x-2 in eqn 1
x+2x-2=52
3x-2=52
3x=52-2
3x=50
x= 50/3
x= 16.66
put x=16.66 in eqn 1 to find y
x+y=52
16.66+y= 52
y=52-16.66
y= 35.34
Hence the numbers are
35.34 and 16.66
Check
35.34+16.66= 52
Please please please please please please answer question y<-1/3x+2?
Answer:
Please see the attachment, none of the graphs you showed was correct.
Step-by-step explanation:
Hope it helps :)
x(x+7)=0
how do you solve this?
Answer:
x=0,-7
Step-by-step explanation:
Answer:
-7
Step-by-step explanation:
see you have to add something that equalles 0 so any questions like this you put a negitive infront of the 7.
A tablet and a digital camcorder are both on sale for 30% off. The regular price of the tablet is $185. The regular price of the camcorder is $140. What is the sale price of the tablet. A tablet and a digital camcorder are both on sale for 30% off. The regular price of the tablet is $185. The regular price of the camcorder is $140. What is the sale price of the tablet.
Answer:
$98
Step-by-step explanation:
Tablet
Divide 185 by 10 to get 18.5, this is 10% of the price.
Since it is 30% off, it is 70% of the price.
Multiply 18.5 by 7 to get the sale price, $129.50
Camcorder
Divide 140 by 10 to get 14, this is 10% of the price.
Since it is 30% off, it is 70% of the price.
Multiply 14 by 7 to get the sale price, $98
Second part of my last question please help me!
Answer:
AC = 28
Step-by-step explanation:
ΔADB ≈ ΔDBC
DC / BC = AD / 15
16 / 20 = AD / 15
cross-multiply:
20AD = 240
AD = 12
AD + DC = AC
12 + 16 = AC
28 = AC
Of the last 10 contestants on a game show, 8 won a prize. Considering this data, how many of the next 20 contestants would you expect to win a prize? contestants Submit Type the answer please or don't do it
Help meee i am stuck
Answer:
153.94 inches cubed
Step-by-step explanation:
plug in 7 as the radius
the formula is A = πr^2
Evaluate:
Σ18/1 (5n– 4) = [? ]
Basically, you are going to evaluate 5n - 4 from n = 1 to n = 18. Don't forget to add as you evaluate.
I will get you started.
Let n = 1 and then n = 2.
5(1) - 4 + 5(2) - 4 + the rest
5 - 4 + 10 - 4 + the rest
1 + 6 + the rest
7 + the rest
Just continue the pattern. You will then let n be 3, 4, 5, etc all the way to 18.
The diameter of a compact disc is 12 centimeters. What is the approximate circumference of the compact disc? 37.69 cm 75.39 cm 113.09 cm 452.38 cm
Answer:
37.69cm i might be wrong, u gonna have to check
Step-by-step explanation:
What is the least common denominator of 4 and 6?
Answer:
12
Step-by-step explanation:
From the above-given multiples of 4 and 6 is the multiple 12 is the smallest common multiple. Therefore, LCM. of 4 and 6 is 12.
2(10+p)−20<140 what the answer
Answer:
p<70
Step-by-step explanation:
Answer:
p < 70
Step-by-step explanation:
2(10 + p) - 20 < 140
20 + 2p - 20 < 140
2p < 140
p < 70
please help :-( !! What is the scale factor of the dilation shown? Round your answer to 2 decimal places if necessary.
Answer: Scale factor is 1.5
Step-by-step explanation:you get scale factor e.g F'G' : FG= 12:8 =1,5
Someone help:
1 Asalesman leaves home at 0800 and travels for 13 hours at an average
speed of 60km/h. He then stops for 30 minutes. He continues for 2 more
hours at 50km/h and stops for 1 hour. He then returns home and arrives
home at 1600.
a) Show this in a travel graph.
b) Calculate his average speed for his return journey.
Answer:
a) Please find attached the required travel graph with times increasing from (0:00) of the day of travel to the following day
b) The average speed of return journey = 880 km/(15.5 h) ≈ 56.77 km/h
Step-by-step explanation:
The given information includes;
The time of departure of the salesman, t₁ = 0800
The duration of travel of the salesman = 13 hours
The average speed with which the salesman travels = 60 km/h
The time duration in which he stops = 30 minutes
The speed with which he continues = 50 km/h
The time duration he travels at 50 km/h = 2 hours
The time he arrives home after he turns, t₂ = 16:00
The appropriate graph is a distance time graph
So as to show the given information in a travel graph, we calculate the distances as follows;
Time [tex]{}[/tex] Location
08:00 [tex]{}[/tex] 0
08:00 + 13 = 21:00 [tex]{}[/tex] 13 × 60 = 780
21:00 + 0.30 = 21:30 [tex]{}[/tex] 780
21:30 + 2:00 = 23:30 [tex]{}[/tex] 780 + 50 × 2 = 880
23:30 + 1:00 = 0:30 (24: hours ) [tex]{}[/tex] 880
16:00 [tex]{}[/tex](40 hours from 0:00 the previous day)
Therefore, we have;
Location; 0, 780, 780, 880, 880, 0
Time; 08:00, 21:00, 21:30, 23:30, 24:30, 40:00
To show the distance traveled over the given time periods graphically, we let 00:30 = 24.30 and the arrival time (the next day) 16:00 = 40.00 hours after midnight (0:00) the previous day
Please find attached the required travel graph created with Microsoft Excel
b) The average speed of return journey = (Total distance of return journey)/(Total time)
The total distance going = 880 km
Therefore the return journey is also 880 km
∴ The total time taken on return journey Δt = (Time at arrival home) - (Time of start of return journey)
∴ Δt = 40 - 24.5 = 15.5
Δt = 15.5 hour
∴ The average speed of return journey = 880 km/(15.5 h) ≈ 56.77 km/h.
two three digit numbers are formed using the same integers and then when they are added they form another three digit number with the same integers find the added number
Answer:
I just cannot find it, so I appologize to the author. ... 2. Sum of all the numbers which can be formed by using the digits (repetition being ... Same is true for the other two digits. ... One more tip: when we add up all the numbers, we can start with the ... (1+5+8)/3 * 111 - another way to write 3-digit number formed from "average
Step-by-step explanation:
Drum Roll Please
Our school band is selling sweatshirts and t
shirts to raise money. The goal is to raise
$1200. The sweat shirts cost $12.50 and will
be sold for $15. The shirts will cost $6.50
and be sold for $8.
a) Write a function to describe the
number of shirts and sweatshirts the band can sell to reach their profit goal.
Explain your reasoning.
Jamal has 16 marbles. Zing has 9. How many fewer marbles does Zing
have than Jamal?
Answer:
7
Step-by-step explanation:
16 - 9 = 7
Answer:
7
Step-by-step explanation:
16-9=7
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pls helpppppppppppppppppppppp
Answer:
∠A = 6x + 4
Step-by-step explanation:
Hello There!
We are given the exterior angle ∠ACD and an interior angle ∠B
If you didn't know this is the rule for exterior angles of a triangle:
An exterior angle is equal to the sum of its opposite interior angles
so ∠ACD = ∠A + ∠B ( ∠A and ∠B being the opposite interior angles)
So with the information that we are given we plug them into their corresponding angle
then we would have
8x+5 = ∠A + 2x + 1
now we solve for A
Well how do we solve for A?
Well we have to isolate the variable
To do so we want to get rid of 2x + 1
We do that by subtract each side by 2x and 1
8x + 5 - (2x + 1 ) = 6x + 4
we're left with
∠A = 6x + 4