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
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]
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
After a party there were 2 2/3 pepperoni pizzas and 1 5/6 cheese how many pizzas are left?
Answer:
4.5
Step-by-step explanation:
2+1=3
2/3+5/6=1.5
3+1.5=4.5
A meal at a restaurant cost $34.50, before tip. You decide to leave the server an 18% tip. What is your total bill?
Please help me and explain this.
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
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!!
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
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:
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
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
helpp plssssss i need
Answer:
3m^4
Step-by-step explanation:
x^y
x is the base and y is the exponent
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
1. Delia purchased a new car for $23,350. This make and model straight line depreciates to zero after 13 years.
a. Identify the coordinates of the x- and y- intercepts for the depreciation equation.
b. Determine the slope of the depreciation.
c. Write the straight-line depreciation equation that models this situation.
Answer:
a. y-intercept = 23350 and x-intercept = 13
b. [tex]m = -\frac{23350}{13}[/tex]
c. [tex]y = -\frac{23350}{13}x + 23350[/tex]
Step-by-step explanation:
Given
[tex]Years = 13[/tex]
[tex]Total\ depreciation = \$23350[/tex]
Solving (a): The x and y intercepts
The y intercept is the initial depreciation value
i.e. when x = 0
This value is the value of the car when it was initially purchased.
Hence, the y-intercept = 23350
The x intercept is the year it takes to finish depreciating
i.e. when y = 0
From the question, we understand that it takes 13 years for the car to totally get depreciated.
Hence, the x-intercept = 13
Solving (b): The slope
The slope (m) is the rate of depreciation per year
This is calculated by dividing the total depreciation by the duration.
So:
[tex]m = \frac{23350}{13}[/tex]
Because it is depreciation, it means the slope represents a deduction.
So,
[tex]m = -\frac{23350}{13}[/tex]
Solving (c): The straight line equation
The general format of an equation is:
[tex]y = mx + b[/tex]
Where
[tex]m = slope[/tex]
[tex]b = y\ intercept[/tex]
In (a), we have that:
[tex]y\ intercept = 23350[/tex]
In (b), we have that:
[tex]Slope\ (m) = -\frac{23350}{13}[/tex]
Substitute these values in [tex]y = mx + b[/tex]
[tex]y = -\frac{23350}{13}x + 23350[/tex]
Hence, the depreciation equation is: [tex]y = -\frac{23350}{13}x + 23350[/tex]
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]
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
identify two factors that have a product of 1 7/8
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:
Reflect the figure over the line y = -1/2x +1.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The line of reflection has a slope of -1/2, so each image point will be on a line of slope 2 through the corresponding pre-image point. It may be easiest to count the grid squares between the pre-image point and the line, then again from the line to the location of the image point. Those distances will be the same.
The reflected image is shown in the first attachment.
__
If you want to do this algebraically, the formulas for finding the reflected points are given in the second attachment. For the given line, these become ...
(x, y) ⇒ (4/5 + 3/5x -4/5y, 8/5 - 4/5x - 3/5y)
Example:
C(-3, -5) ⇒ ((4 +3(-3) -4(-5))/5, (8 -4(-3) -3(-5))/5) = (15/5, 35/5) = C'(3, 7)
Which of the following fractions is closest to
5/8
2/3
13/20
11/16
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?
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
Write the slope intercept form of the equation of the line through the given point plz
Please please help me get the anwser I just want the anwser I got a 33.3 on my last attempt and this is my last please :( I will literally give you 87 points I need help ASAP please I set it to 87 points please take Time and anwser correctly or I will report please :( I only have 11/6/2020
Answer: A
Step-by-step explanation:
Answer:
Its b
Step-by-step explanation:
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)
what is 3х - 4<-19=
Answer:
x= -5
Step-by-step explanation:
3х - 4<-19=
add +4 to both sides
3x<-15
divide 3 on both sides
x<-5
might have to rewrite the final answer
You move down 6 units and left 9 units. You end at (-5, -3). Where did you start?
Helppppppp
I need to find the area for this
Answer:
126
Step-by-step explanation:
70+56
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: