Answer:
490
Step-by-step explanation:
Thanks!
Harry fills up his Jeep with gasoline and notes that the odometer reading is miles. The next time he fills up his Jeep, he pays for gallons of gasoline. He notes his odometer reading is miles. How many miles per gallon did he get?
Complete question :
Harry fills up his Jeep with gasoline and notes that the odometer reading is 23,568.7 miles. The next time he fills up his Jeep, he pays for 12.6 gallons of gasoline. He notes his odometer reading is 23,706.3 miles. How many miles per gallon did he get?
Answer:
10.9 miles per gallon
Step-by-step explanation:
Given that :
Odometer reading when filled up with gasoline = 23,568.7 miles
Odometer reading with 12.6 gallons of gasoline = 23,706.3 miles
Miles per gallon gotten :
(Current Odometer reading - reading when filled up) / gallon of gasoline
(23706.3 - 23568.7) / 12.6
= 10.920634
= 10.9 miles per gallon
A hot air balloon rising vertically is tracked by an observer located 4 miles from the lift-off point. At a certain moment, the angle between the observer's line-of-sight and the horizontal is pi/6, and it is changing at a rate of 0.1 rad/min. How fast is the balloon rising at this moment?
Answer:
0.533 miles/min
Step-by-step explanation:
Calculate how fast the balloon is rising at the moment : dy /dt
location from the lift-off point = 4 miles
angle between the observer's line-of-sight and the horizontal ( ∅ ) = [tex]\frac{\pi }{6}[/tex]
d∅ / dt = 0.1 rad/min
tan ∅ = y / 4
derivate
sec^2 ∅ . d∅ / dt = 1/4 . dy/dt
= sec^2 [tex]\frac{\pi }{6}[/tex] . 0.1 = 1/4 . dy/dt
= ( sec^2 0.5238 * 0.1 ) * 4 = dy/dt
dy/dt = 8 / 15 miles/min
(-4)100x(-4)20 answer in exponential form please
Answer:
the answer is (-4)^120
A meal at a restaurant cost $34.50, before tip. You decide to leave the server an 18% tip. What is your total bill?
A certain model of remote-control Stanley garage door opener has nine binary (off/on) switches. The homeowner can set any code sequence. (a) How many separate codes can be programmed
Answer:
[tex]Codes= 512[/tex]
Step-by-step explanation:
Given
[tex]Switches = 9[/tex]
[tex]Controls = 2[/tex] ------- on or off
Required
Determine the number of codes to be programmed
Since each switch has any of the on or off controls (i.e on or off), then:
The first switch can be coded in any of the 2 controls
The second switch can be coded in any of the 2 controls
The third switch can be coded in any of the 2 controls
Up till the ninth switch
So, we have that:
[tex]Codes= 2 * 2 *2*2*2* 2 *2*2*2[/tex]
[tex]Codes = 2^9[/tex]
[tex]Codes= 512[/tex]
Hence, there are 512 possible codes
What is the least common denominator of 5/6 and 3/8?
Answer:
Step-by-step explanation:
5/6 and 3/8 LCD is 24
Consider the line y=5x -3 Find the equation of the line that is patellar to this line and passes through the point (-8, -3) Consider the line y=5x -3
Answer:
The equation of the line that is parallel to given line and passes through the point (-8, -3) is: [tex]y = 5x+37[/tex]
Step-by-step explanation:
Given equation of line is:
[tex]y=5x-3[/tex]
The general form of equation of line in slope-intercept form is written as:
[tex]y = mx+b[/tex]
Here m(co-efficient of x) is the slope of the line and b is the y-intercept.
Comparing the given equation with the general form we get
m = 5
Two parallel lines have same slope so the slope of any line parallel to given line will also be 5.
Let m1 be the slope of required line parallel to y=5x-3
Then m1=5
Putting in general form
[tex]y = m_1x+b[/tex]
[tex]y=5x+b[/tex]
To find the value of b(y-intercept) the given point has to be put in the equation from which the line passes.
The point is (-8,-3)
[tex]-3 = 5(-8)+b\\-3 = -40+b\\b = -3+40\\b = 37[/tex]
Putting the value of b and m1, we get
[tex]y = 5x+37[/tex]
Hence,
The equation of the line that is parallel to given line and passes through the point (-8, -3) is: [tex]y = 5x+37[/tex]
Help me please I don’t . Get so please give me the answer
Answer:
1953125
Step-by-step explanation:
Answer:
5⁹ =5⁴
5⁵
Step-by-step explanation:
this is my answer
Harpo, Groucho, Chico, Zeppo, Gummo and Karl are the finalists in the fabulous Clearers’ Publishinghouse sweepstakes.
Two prizes will be awarded: the Grand Prize and the Even Grander Prize. The prizewinners will be randomly selected (and it is possible that one person may win both prizes).
How many outcomes are possible?
Answer:
ADGTSGADADASDAWDSDWA
Step-by-step explanation:
AADASDWADS
workout the value of (10^4)^2
Answer: the answer is 100000000
Step-by-step explanation: that is that because 10 to the 4th power is 10000 times 10000 is 100000000
Find the inverse of the function.
Answer:
A) [tex]f^{-1}(n)= (n+2)^3[/tex]
Step-by-step explanation:
[tex]f(n) = \sqrt[3]{n} -2[/tex]
[tex]y = \sqrt[3]{n} -2[/tex]
[tex]y = n^{1/3}-2[/tex]
[tex]n = y^{1/3} -2[/tex]
[tex]n + 2 = y^{1/3}[/tex]
[tex]y = (n + 2) ^3[/tex]
[tex]f^{-1}(n) = (n + 2)^3[/tex]
Hope this helps!
Answer:
Option A
Step-by-step explanation:
f(n) =∛n-2
y= ∛n-2
Interchange y and n
n =∛y-2
Subtract -2 on both sides
n+2 = ∛y
both both sides to the 3rd power:
(n+2) to the 3rd power = y
Inverse :
f-1(n) = (n+2) to the 3rd power (option A)
A music store has 1,440 CDs. Each CD rack holds 90 CDs. How many racks does the store need to use to hold all the CDs?
Answer:
16 cd racks
Step-by-step explanation:
1,440%90
The cougars baseball team played 16 games last year and won 12 of them. They are scheduled to play 28 games. If they end up winning the same percentage,how many games will they win? Pls help ASAP!!
If the income of the consumer increases, the budget constraint line will shift:
a.
away from the origin, but its slope will remain the same
b.
away from the origin, and its slope will become steeper
c.
toward the origin, but its slope will remain the same
d.
toward the origin, and its slope will become steeper
Answer:
b
Step-by-step explanation:
this is for the 20 characters thing
Write the slope intercept form of the equation of the line through the given point plz
How do I know if the triangles are simulat
Answer:
triangles are not similar because all angles of similar triangle's are equal but in the given figure one angle's are equal but other are not equal
Step-by-step explanation:
Please graph this and if you do I'll give you brainliest (If you just say deijos or not enough info I will report and you may get banned *You have been warned* Please help though if you can.
Answer:
[tex]use \: the \: following \: ponts \: to \: graph \\ \: the \: equation \to \\ \underline{\boxed{( - 1, \: - 9)...... \boxed{is \: the \: first \: point}}} \\ \underline{\boxed{( 1, \: 0)...... \boxed{is \: the \: second \: point}}} \\ \underline{\boxed{(2, \: 4)...... \boxed{is \: the \: third \: point}}} [/tex]
Step-by-step explanation:
[tex]when \: \boxed{f(x) = 3x - 5} : \: if \: \boxed{x \leqslant - 1} \\then \to \: \boxed{x = - 1} \\ f(x) = 3( - 1) - 5 \\ f(x) = - 4 - 5 \\ f(x) = - 9 \: ......... \: hence \to \\ \underline{\boxed{( - 1, \: - 9)...... \boxed{is \: the \: first \: point}}} \\. \\ . \\ . \\ when \: \boxed{f(x) = - 2x + 3} : \: if \: \boxed{ - 1 < x < 4} \\then \to \: \boxed{x = 1} \\ f(x) = - 2( 1) + 3 \\ f(x) = - 3 + 3 \\ f(x) = 0 \: ......... \: hence \to \\ \underline{\boxed{( 1, \: 0)...... \boxed{is \: the \: second \: point}}} \\ . \\ . \\ . \\ when \: \boxed{f(x) = 2 } : \: if \: \boxed{ \geqslant 4} \\then \to \: \boxed{x = 4} \\ f(x) = 2 \: ......... \: hence \to \\ \underline{\boxed{(2, \: 4)...... \boxed{is \: the \: third \: point}}} [/tex]
write the slope-intercept form of the equation of each line. (DONT do number 26 )
Answer:
25) -4, -1
Equation: -4x-1
27) 4, 4
Equation: 4x+4
29) 5/2,0
Equation: 5/2x
Step-by-step explanation:
Y=mx+b
Find the domain of the function. g(x)=√2+x Write your answer using interval notation.
Answer:
2+x=O
x= -2
x€ Real number [-2+ infinite )
Answer:
[tex]x\geq -2[/tex]
Step-by-step explanation:
[tex]g(x)=\sqrt{2+x}[/tex]
We know we can only take the square root of a number greater than or equal to 0.
[tex]2+x\geq 0\\x\geq -2[/tex]
the number of successes and the sample size are given for a simple random sample from a population. determine the sample proportion for x
Complete Question
The number of successes and the sample size for a simple random sample from a population are given below. x-4, n 200, [tex]H_o[/tex]: p- 0.01, Ha p>0.01, a 0.05 . determine the sample proportion of x
Answer:
The sample proportion of x is [tex]\^ p = 0.02[/tex]
Step-by-step explanation:
From the question we are told that
The number of success is x = 4
The sample size is n = 200
The null hypothesis is [tex]H_o : p = 0.01[/tex]
The alternative hypothesis is [tex]H_a : p > 0.01[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
Generally the sample proportion of x is mathematically represented as
[tex]\^ p = \frac{x}{n}[/tex]
=> [tex]\^ p = \frac{4}{200}[/tex]
=> [tex]\^ p = 0.02[/tex]
Which of the following fractions is closest to
5/8
2/3
13/20
11/16
Part B: What length of rope would enable the goat to eat 30 square yards of
grass? Show all your reasoning.
omg pls help
me
Refer to question: https://brainly.com/question/18999872
Answer:
9.42 yd²3.57 ydStep-by-step explanation:
Part AThe area of circle with radius of 2 yd (the length of the rope) is:
A = π*r² = 3.14*2² = 12.56 yd²Since 1/4 of the circle is occupied by the shed, the area of the grass is:
12.56*3/4 = 9.42 yd²Part BLet the area be 30 yd², finding the r as per above formula:
3/4*3.14*r² = 30r² = 30*4/3*3.14r² = 12.74r = √12.74r = 3.57 yd
|2x + 7| >7
what are the boundary points?
Answer:
the answer is [tex]\begin{bmatrix}\mathrm{Solution:}\:&\:x<-7\quad \mathrm{or}\quad \:x>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-7\right)\cup \left(0,\:\infty \:\right)\end{bmatrix}[/tex]
Step-by-step explanation:
i hope this helps :)
Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations (I use it all the time).
Answer:
absolute value
Step-by-step explanation:
If your talking about the two lines by the 7 and the 2.
there used to find the absolute value of a number.
lets say you have this |-2| your answer would be 2.
|1| =1
-|1|= -1
I hope you get the point
the question would be 2x=7>7 its that easy
ILL GIVE BRAINLIEST FOR BEST AWNSER!!!
A football player kicks a ball with a force of 50 N
How does the impulse above change if he doubles the amount of time that his foot is in contact with the ball?
Answer: AP= 30 kgm/s c) Calculate the final velocity of the object, if it was initially at rest. A 0.5kg baseball experiences a 10N force for a duration of 0.1s.
Step-by-step explanation:
wilt weighs 1 1/2 times as much as Anita. together they weigh 250 lb. find anita's weight. choices for Anita's weight: 90, 100, 105, 150
Anita would weigh 100 lbs
There is a playground behind Jayden’s school where kids go outside for recess. The playground is 85 feet wide and 236 feet long. Jayden is curious if the playground has an area of more or less than 20,000 square feet. Does it? Show and explain how you know.
Answer:
Yes
Step-by-step explanation:
A = L x W
A = 236 x 85
A = 20,060
20,060 is more than 20,000 so yes
What is 1.3*10^4 in standard notation
A. 1.3^4
B. 13,000
C. 0.00013
D. 1300
Answer:
13000
Step-by-step explanation:
If you go 4 steps forward at first, it is 13. Add three zeros and then it is at 10^4 and 13000
One zero added is one power in scientific notation
Answer:
C. 13,000
Step-by-step explanation:
You do 10x10x10x10 and get 10,000 and then multiply that by 1.3 or move the decimal point do the right 4 times for the 4 zeros
Find the number of miles per hour in each of the following cases,
100 miles per hour 200 miles per hour 900 miles per hour
000 miles in 9 hours
9000 miles in 00 hours
100 miles in 5 hours
100 miles
100 miles
100 miles
100 miles 100 miles
100 miles ok?
you should solve the answer for z not m pls
Step-by-step explanation:
we can factor out z
so that'll be
z((1/m)-(1/n))=1
divide by the value in parentheses on both sides
z=1/((1/m)-(1/n))
I can't tell if there's more the problem wants you to do. I could rewrite the equation on paper more easily, but I don't have one on hand
Answer: The answer is z=1/((1/m)-(1/n). Abhlnav, I'm sorry about not finding the answer to solve for z, and that’s the reason why you told me to solve for z not m to your algebraic expression to find the answer. Are you very good at mathematics, Abhlnav?
Step-by-step explanation:
A bird is flying at a constant rate.
This equation y = 8x + 15 can be used to represent this situation, where y is the bird's elevation in meters and x is the number of minutes the bird has been flying.
Which statement best describes the bird's elevation, given this equation?
The bird started at a height of 15 meters and is ascending at 8 meters per minute.
The bird started at a height of 15 meters and is descending at 8 meters per minute.
The bird started at a height of 8 meters and is descending at 15 meters per minute.
The bird started at a height of 8 meters and is ascending at 15 meters per minute.
Answer:
It is the first one 15 is the y intercept slope 8/1