Answer:
1. Melissa and Corey started on different trails.
2. Melissa hiked up the trail for a longer period of time than Corey.
3. Melissa and Corey crossed paths between 60 and 90 minutes.
4. Corey began his descent before Melissa.
Step-by-step explanation:
A. Melissa and Corey started on different trails. - TRUE
Rationale: at the start, when t = 0, Melissa hiking trail elevation was 8,342 ft while that of Corey was 10,004 ft. Therefore, they started on different trails.
B. Melissa hiked up the trail for a longer period of time than Corey. - TRUE
Rationale: It took Melissa 90 mins to reach the highest elevation of 12,921 while it took just 60 mins for Corey to teach same elevation height at 60 mins
C. Melissa and Corey crossed paths between 60 and 90 minutes. - TRUE
Rationale: As Melissa was still ascending between 60 - 90 mins from 11,239 to 12,921, Corey was descending at the same time . So their path crossed.
D. Corey began his descent before Melissa. - TRUE
Rationale: Corey started descending earlier at 60 mins before Melissa
E. As Melissa’s time increased from 0 to 60 minutes, her elevation decreased. - FALSE
Rationale: as Melissa's time increased from 0 to 60 mins, her elevation increased also from 8,342 ft to 11,239 ft.
Answer:
A) Melissa and Corey started on different trails.
B) Melissa hiked up the trail for a longer period of time than Corey.
D) Corey began his descent before Melissa.
Step-by-step explanation:
I got it right on Edge :D
Help a bab out please?
Answer: 5
Step-by-step explanation:
What is the area of the trapezoid showroelow?
7
25
4.
Answer:
180
Step-by-step explanation:
2
Select the correct answer.
Simplify the expression 53x55
Answer:
2915
Step-by-step explanation:
wuch equation represents O AB OB. re
Answer:
The answer that is C
Step-by-step explanation:
The equation would be y=1/2x + 8 because the line touches the y-intercept at +8. The others would be incorrect as the line does not increase by a slop of 8/1 and/or is the y-intercept at -8.
How many solutions does y+x=5 5x+5y=25 have?
A) One
B) Infinitely Many
C) None
D) Two
Answer:
B is the answer.
Step-by-step explanation:
Given equations y + x = 5 and 5x + 5y = 25.
These equations have infinetely many solutions because they are equivalent.
This can be proven by the multiplicative property of equality and the commutative property of addition.
y + x = 5 → y × 5 + x × 5 = 5 × 5 [multiplicative property of equality] → 5y + 5x = 25 → [commutative property of addition] 5x + 5y = 25.
calculate the value of 3√12 ÷ 6√27
answer??? please answer
Answer:
∠ 1 = 94°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
130° is an exterior angle of the triangle, then
∠ 1 + 36° = 130° ( subtract 36° from both sides )
∠ 1 = 94°
What is the solution to the system of equations?
Solve using the substitution method.
-5x – y=6
-8x + y = 20
A) (-2,4)
B) (1, -2)
D) (2, 1)
C) (1,2)
Answer:
-8x+y=20
y=20+8x
-5x-y=6
-5x-(20+8x)=6
-5x-20-8x=6
-13x=6+20
-13x=26
-13x÷ -13=26÷ -13
x= -2
-8x+y=20
-8×(-2)+y=20
16+y=20
y=20-16
y=4
A) (-2,4)
The midpoint of AB is M(6, 3) . If the coordinates of A are (7, 4) , what are the coordinates of B?
Answer:
5,2
Step-by-step explanation:
the difference between a and m is 1,1 so 1,1 subtracted from the mid point(M) would be 5,2
write an equation of the line in slope-intercept form.
Use three-unit multipliers to convert 97 cubic feet to cubic inches
which function is a translation of the parent absolute value function?
shift 5 units to the right
shifts 4 units down
Answer:
[tex]g(x) = |x-5|-4[/tex]
Step-by-step explanation:
[tex]f(x) = |x|\\\\g(x) = f(x-5)-4\\\\g(x) = |x-5|-4[/tex]
interpretation of the vertical line
Which of the following represents the factorization of the polynomial function
graphed below? (Assume it has no constant factor.)
O A. y = (x+3)(x+5)
B. y = (x-3)(x +5)
C. y = (x-3)(x-5)
O D. y = (x+3)(x-5)
Answer:
need this anyone got it?
Step-by-step explanation:
Answer:
Step-by-step explanation:
two pirate ships leave the same port at the same time. The first ship travels due North at a constant speed while the second ship travels due East at a constant speed. After one hour, the ships are 25 miles apart. The ship traveling North is 5 mph faster than the ship traveling East. Find the speed of each ship in miles per hour.
Step-by-step explanation:
the speed of the first ship is 20 mph
and the second ship is 15 mph
The speed of the ship that travelled North is 20 miles per hour and that of the ship that travelled East is 15 miles per hour.
Constant Speed:
'When the speed of an object remains the same - it does not increase or decrease - we say it is moving at a constant speed.'
According to the given problem,
Let the pirate ship that travelled north be A and the other ship that travelled east be B.
Since ship A went North which is upwards and ship B went east which is towards the right,
We can construct a right angled triangle with the perpendicular being the distance travelled by ship A and the base being the distance travelled by ship B.
It is given that after travelling for one hour, the ships are 25 miles apart.
Therefore we can consider the hypotenuse of the triangle to be 25 miles.
Now applying pythagoras theorem,
Hypotenuse² = Perpendicular² + Base²
⇒ 25² = x² + ( x + 5 )²
⇒ 625 = x² + x² + 10x + 25
⇒ 2x² + 10x + 25 - 625 = 0
⇒ 2x² + 10x - 600 = 0
⇒ x² + 5x - 300 = 0
⇒ x² + 20x - 15x - 300 = 0
⇒ x( x + 20 ) - 15( x + 20) = 0
⇒ ( x + 20 )( x - 15 ) = 0
⇒ x = 15 , -20
Since, distance cannot be negative,
x = 15
Therefore Distance travelled by ship A = ( 15 + 5 ) miles
= 20 miles
Time taken = 1 hour
Speed of ship A = [tex]\frac{Distance}{Time}[/tex]
= [tex]\frac{20}{1}[/tex] miles per hour
Distance travelled by ship B = 15 miles
Speed of ship B = [tex]\frac{15}{1}[/tex] miles per hour
Hence, after solving the problem, we can conclude that the speed of the ship travelling north is 20 miles per hour and the ship travelling east is 15 miles per hour.
Learn more about Constant Speed here:
https://brainly.com/question/18098874
#SPJ2
Image attached down bellow
Answer:
C
Step-by-step explanation:
David cooks a turkey in the oven at 450° for 30 minutes. Then he lowers the heat to 300° and cooks the Turkey for 2 more hours. How many minutes does David cook the turkey in all
Answer:
150 mins
Step-by-step explanation:
Answer:
150 minutes
Step-by-step explanation:
FILL IN THE BLANKS 1) 257x_____=(-257) 2)(-30)x_____=(-270) 3)_____x(-21)=_____ 4)918x_____=0 5)(-56)x[(-9)+(-1)]=_____
Answer:
[tex](a)\ 257 * [-1] =-257[/tex]
[tex](b)\ (-30) * [9] =-270[/tex]
(c) The additive inverse of -21 is 21
[tex](d)\ 918 *[0]=0[/tex]
[tex](e)\ (-56) * [(-9)+(-1)] = 560[/tex]
Step-by-step explanation:
Required
Fill in the blanks
Represent all blanks with x
[tex](a)\ 257 * x =-257[/tex]
Divide both sides by 257
[tex]x =\frac{-257}{257}[/tex]
[tex]x = -1[/tex]
So:
[tex](a)\ 257 * [-1] =-257[/tex]
[tex](b)\ (-30) * x =-270[/tex]
Divide both sides by -30
[tex]x =\frac{-270}{-30}[/tex]
[tex]x = 9[/tex]
So:
[tex](b)\ (-30) * [9] =-270[/tex]
(c)The complete question here is to determine the additive inverse of (-21)
The [tex]additive[/tex] [tex]inverse[/tex] of a [tex]number[/tex] x is -x
So:
[tex](-21) \to -(-21)[/tex]
[tex](-21) \to 21[/tex]
[tex](d)\ 918 *x=0[/tex]
Divide both sides by 918
[tex]x=\frac{0}{918}[/tex]
[tex]x = 0[/tex]
So:
[tex](d)\ 918 *[0]=0[/tex]
[tex](e)\ (-56) * [(-9)+(-1)] = x[/tex]
Solve the inner brackets
[tex](-56) * [-9-1] = x[/tex]
[tex](-56) * [-10] = x[/tex]
Multiply
[tex]560 = x[/tex]
So:
[tex](e)\ (-56) * [(-9)+(-1)] = 560[/tex]
Write the equation of the line which contains all images of point C.
(12.1)
С
(8,0)
B
2
10
12
(a,b)
(Α)
2
B
y = 4.3 – 2
C
y = 4.2
4.
Answer:
A
Step-by-step explanation:
y = 1/4 × x - 2
x=8 => y=0. correct for B
x=12 => y= 1. correct for C
all other answer options fail for these 2 points.
which of the following is a solid consisting of a disc, a point not in the same plane as the disc, and all the points between them
Answer:
the answer is cone.
Step-by-step explanation:
a p ex
The math question is in the picture thank you
Answer:
2+2=4 and 4*4=16 16+2 = 18 so WOOSH your answer is now a legal adult
Step-by-step explanation:
d nuts
3x^2 – 8x + 5 = 5x^2
Answer:
Step-by-step explanation:
[tex]3x^2 -8x +5 = 5x^2\\\\5x^2 - 3x^2 + 8x -5 =0\\\\2x^2 +8x -5 = 0\\\\[/tex]
a = 2, b = 8, c = -5
[tex]x = \frac{-b \pm \sqrt{b^2 -4ac} }{2a}\\\\x = \frac{-8 \pm \sqrt{8^2 - ( 4 \times 2 \times (-5))} }{2 \times 2}\\\\x = \frac{-8 \pm \sqrt{64 +40} }{4}\\\\x = \frac{-8 + \sqrt{64 +40} }{4} \ , \ x = \frac{-8 - \sqrt{64 +40} }{4}\\\\x = \frac{-8 + \sqrt{104} }{4} \ , \ x = \frac{-8 - \sqrt{104} }{4}\\\\x = \frac{-8 + \sqrt{4 \times 26} }{4} \ , \ x = \frac{-8 - \sqrt{4 \times 26} }{4}\\\\x = \frac{-8 +2 \sqrt{26} }{4} \ , \ x = \frac{-8 - 2\sqrt{26} }{4}\\\\[/tex]
[tex]x = \frac{-4 + \sqrt{26} }{2} \ , \ x = \frac{-4 - \sqrt{26} }{2}[/tex]
Select all the numbers that are irrational
A) [tex]-\sqrt{5}[/tex]
D) [tex]\pi[/tex]
===========================================
Explanation:
Choices B and C are rational because we can simplify them to form a fraction of integers.
[tex]-\sqrt{49} = -7 = -\frac{7}{1}[/tex]
[tex]\sqrt{0} = 0 = \frac{0}{1}[/tex]
Any rational number is of the form P/Q where P,Q are integers and Q is nonzero.
So we can rule out choices B and C.
---------------
Choice A on the other hand cannot be written as a fraction of integers. The 5 isn't a perfect square, which makes [tex]-\sqrt{5}[/tex] irrational.
The same can be said about [tex]\pi[/tex] which is roughly equal to 3.14; the decimal digits go on forever without a known pattern.
Choice A and choice D are the two answers.
----------------
If we know the pattern of the decimal digits, then we can turn the decimal number into a fraction of integers
The number -0.777, where the 7s go on forever, converts to the fraction -7/9
That means we rule out choice E.
The scale of the floor plan of a room is 1 cm : 6.5 m. On the floor plan, the room is 3 cm long by 2 cm wide. What are the actual dimensions of the room?
Answer:
The room is 19,5m long and 13m wide.
Step-by-step explanation:
1cm -> 6,5m
3cm -> 19,5m
2cm -> 13m
Help me pls ! Show your work
Answer:
y = (-2) 2^(x+1)
Step-by-step explanation:
Whenever x increases from by 1, y decreases by doubling (the negative value), so the exponent is -2
When x = -1, y = -2.
So the exponential equation (NOT linear) is
y(x) = -2*2^(x+1)
Check:
y(-1) = -2*2^(-1+1) = -2*1 = -2
y(0) = -2*2^(1) = -2*2 = -4
...
y(2) = -2*2^(2+1) = -2*8 = -16
all good.
PLS HELP!! WILL GIVE BRAINLIEST!!
Answer:
[tex] \dfrac{2x}{x + 7} [/tex]
Step-by-step explanation:
[tex] \dfrac{4x^2 - 16x}{2x^2 + 6x - 56} = [/tex]
Factor the numerator and denominator.
[tex]= \dfrac{4x(x - 4)}{2(x^2 + 3x - 28)}[/tex]
[tex]= \dfrac{4x(x - 4)}{2(x + 7)(x - 4)}[/tex]
[tex] = \dfrac{2x}{x + 7} [/tex]
Mahak is measuring the maximum space inside a watering can. This is a measure of A weight. B capacity.
Answer:
B. capacity.
Step-by-step explanation:
In this scenario, Mahak is measuring the maximum space inside a watering can. Thus, this is a measure of capacity because it gives the exact information as to the quantity of water the watering can hold at any given time.
Basically, the capacity of a container is a measure of the volume of fluid or any other substance that it is able to hold, which is typically measured in litres or cubic centimeters.
For example, if the shape of the watering can is cylindrical; its capacity (volume) would be measured using a mathematical expression.
Mathematically, the volume of a cylinder is given by the formula;
V = πr²h
Where;
V is the volume of a right circular cylinder.r represents the radius of the cylinder.h represents the height of the cylinder.Phineas is 5 years older than Ferb.
Four years ago, Phineas was twice
as old as Ferb. How old is Phineas
now?
Please answer ASAP!
What is the surface area of a cylinder with a radius of 5 and a height of 8? round to the nearest 10th
Answer:
408.4
Step-by-step explanation:
this is a trignometry question
hope u will do for me
i will mark brainliest..:)
Step-by-step explanation:
[tex]\cos^{4} x - \sin^{4} x[/tex]
[tex]= ( \cos^{2} x + \sin^{2} x)( \cos^{2} x - \sin^{2} x)[/tex]
[tex] = (1 - \sin^{2} x + \sin^{2} x)( 1 - \sin^{2} x - \sin^{2} x)[/tex]
[tex] = 1 - 2\sin^{2} x[/tex]
Note: I replaced all cos^2x terms using the identity
[tex]\cos^{2} x = 1 - \sin^{2} x[/tex]