Answer:
12
Step-by-step explanation:
mikayla has 90 minutes to answer 36 questions on a school survey. how many minutes per question does she have ?
Juan is training for the Great Bike
Race. Yesterday, Juan rode his bike
for 45 minutes and covered 15 miles.
He would like to increase his speed.
How many more miles would he need
to ride in 45 minutes in order to reach
his goal of 25 miles per hour?
10 Miles Because 25-15=10
Solve for k, please!
2(k − 5) = 12
Answer:
k = 11
Step-by-step explanation:
Expand brackets
2k - 10 = 12
add 10 on both sides
2k = 22
divide both sides by 2
k = 11
Share $54 among 3 girls in the proportion 11:5:2
Answer: $54 / 3 = $27 for each girl
Step-by-step explanation:
Answer:
33 : 15 : 6
Step-by-step explanation:
Tafu is working with subatomic particles in the Physics lab. A positron is traveling in a straight line down the particle accelerator. Tafu models its position with the function
p(t)= t^2/t – 1
(g) Find a time t>1 when the positron's instantaneous velocity is zero
(h) Where is the positron located at the time you found in (g)
Answer:
g) 2 h) 4
Step-by-step explanation:
g) The time t when the instantaneous velocity of the positron is zero is;
t = 2
h) The location of the positron at the time of t = 2 is;
p = 4.
g) We are told that the function that models the position of the sub atomic particles is;
p(t) = t²/(t - 1)
Instantaneous velocity is simply the derivative of the distance with respect to time.
Thus, Instantaneous velocity is gotten by using online differentiation calculator to get; dp/dt = [2t/(t - 1)] - [t²/(t - 1)²]
When Instantaneous velocity is zero, we have;
[2t/(t - 1)] - [t²/(t - 1)²] = 0
Rearranging to get;
[2t/(t - 1)] = [t²/(t - 1)²]
Cross multiply to get;
2t(t - 1)² = t²(t - 1)
divide both sides by t to get;
2(t - 1)² = t(t - 1)
Expand the bracket to get;
2(t² - 2t + 1) = t² - t
2t² - 4t + 2 = t² - t
Rearrange to get;
t² - 3t + 2 = 0
Using online quadratic equation solver gives;
t = 1 or 2
We are told that t > 1
Thus, we will adopt t = 2
h) At t = 2 seconds gotten in g above, the positron is located at;
p(2) = 2²/(2 - 1)
p(2) = 4
Read more at; https://brainly.com/question/2020753
HELP I DONT UNDERSTAND OR MAYBE I DO BUT IM YK I JUST NEED HELP PLEASE
Answer:
9/16
Step-by-step explanation:
;)
Answer:
-0.5625
Step-by-step explanation:
-0.75 x 0.75 = -0.5625
There were 60 runners to start a race. In the first half of the race, 1/3 of them dropped out. In the second half of the race, 4/5 of the remaining runners dropped out. How many runners finished the race?
Answer:
08 runners finished the race.
Step-by-step explanation:
Given that:
Number of runners at the race = 60
Number of runners dropped in first half = 1/3 of 60
Number of runners dropped in first half = [tex]\frac{1}{3}*60 = 20[/tex]
Remaining runners = 60 - 20 = 40
Number of runners dropped in second half = 4/5 of 40
Number of runners dropped = [tex]\frac{4}{5}*40 = 32[/tex]
Runners left = 40 - 32 = 08
Hence,
08 runners finished the race.
1 of 6
Use the conversions given below to change 34 kg into stones.
Give your answer rounded to 1 dp.
1 kg = 2.2 pounds
1 stone = 14 pounds
stones
Answer:
ggggmd
hsmhdmvx.hffyfylltet
Expand and simplify (x-3)(2x+1)(x+1)
Answer: x(2x=1)(x+1)-3(2x+1)(x+1)
Step-by-step explanation:
19. An aircraft maintaining a constant airspeed of 525 MPH is headed due south. The jet stream is
120 MPH in the northeasterly direction.
a. Sketch the scenario on the x-y axis.
b. Express the velocity of the plane relative to the air as a vector.
c. Express the velocity of the jet stream as a vector.
d. Find the velocity of the plane relative to the ground.
Find the actual speed and direction of the plane relative to the ground. Round to the
tenths.
e.
Answer:
a. Sketch is given in the attachment
b. [tex]V_{p}[/tex] = (0,-525)
c. [tex]V_{w}[/tex] = ([tex]\sqrt{2}[/tex],[tex]\sqrt{2}[/tex])
d. [tex]V_{g}[/tex] = (60[tex]\sqrt{2}[/tex], 60[tex]\sqrt{2}[/tex] - 525)
e. Actual Speed = |[tex]V_{g}[/tex]| = 448.3 MPH
Direction = Ф = - 79.1°
Direction = Ф = 280.9° with respect to x - axis.
Step-by-step explanation:
a. Sketch the scenario on the x-y axis.
Where,
Velocity of the plane relative to air = [tex]V_{p}[/tex]
Velocity of the jet stream = [tex]V_{w}[/tex]
Velocity of the plane relative to ground = [tex]V_{g}[/tex]
Solution:
Note: Solution is given in the attachment. Please refer to the attachment for the sketch.
b. Express the velocity of the plane relative to the air as a vector.
Solution:
[tex]V_{p}[/tex] = |[tex]V_{p}[/tex]| cosФi + |[tex]V_{p}[/tex]| sinФj
where,
|[tex]V_{p}[/tex]| = magnitude of the vector.
|[tex]V_{p}[/tex]| = 525 MPH
Ф = 270° w.r.t to x - axis. (See the sketch in the attachment)
[tex]V_{p}[/tex] = |[tex]V_{p}[/tex]| cosФi + |[tex]V_{p}[/tex]| sinФj
Plug in the values into this equation to express it in the vector form as required.
[tex]V_{p}[/tex] = (525) cos270i + (525) sin270j
As, Cos270 = 0
and
Sin270 = -1
So,
[tex]V_{p}[/tex] = (525) (0)i + (525) (-1)j
[tex]V_{p}[/tex] = 0i -525j
[tex]V_{p}[/tex] = (0,-525)
c. Express the velocity of the jet stream as a vector.
Solution:
Velocity of the jet stream as a vector.
[tex]V_{w}[/tex] = |[tex]V_{w}[/tex]| cosФi + |[tex]V_{w}[/tex]| sinФj
where,
|[tex]V_{w}[/tex]| = magnitude of the vector.
|[tex]V_{p}[/tex]| = 120 MPH
Ф = 45° (See the sketch in the attachment)
[tex]V_{w}[/tex] = |[tex]V_{w}[/tex]| cosФi + |[tex]V_{w}[/tex]| sinФj
Plug in the values into this equation to express it in the vector form as required.
[tex]V_{w}[/tex] = (120) cos45i + (120) sin45j
As, Cos45 = [tex]\frac{1}{\sqrt{2} }[/tex]
and
Sin45 = [tex]\frac{1}{\sqrt{2} }[/tex]
So,
[tex]V_{w}[/tex] = (120) ([tex]\frac{1}{\sqrt{2} }[/tex])i + (120) ([tex]\frac{1}{\sqrt{2} }[/tex])j
[tex]V_{w}[/tex] = 60[tex]\sqrt{2}[/tex]i +60[tex]\sqrt{2}[/tex]j
[tex]V_{w}[/tex] = ([tex]\sqrt{2}[/tex],[tex]\sqrt{2}[/tex])
d. Find the velocity of the plane relative to the ground.
Solution:
Velocity of the plane relative to the ground = Sum of velocity of plane relative to the air and velocity of the jet stream
[tex]V_{g}[/tex] = [tex]V_{p}[/tex] + [tex]V_{w}[/tex]
[tex]V_{g}[/tex] = 0i -525j + 60[tex]\sqrt{2}[/tex]i +60[tex]\sqrt{2}[/tex]j
[tex]V_{g}[/tex] = 60[tex]\sqrt{2}[/tex]i + 60[tex]\sqrt{2}[/tex] - 525j
[tex]V_{g}[/tex] = (60[tex]\sqrt{2}[/tex], 60[tex]\sqrt{2}[/tex] - 525)
e. Find the actual speed and direction of the plane relative to the ground. Round to the tenths.
Solution:
Actual Speed = |[tex]V_{g}[/tex]| = magnitude of the velocity of the plane relative to the ground.
Actual Speed = |[tex]V_{g}[/tex]| = [tex]\sqrt{(60\sqrt{2}) ^{2} + (60\sqrt{2}-525) ^{2} }[/tex]
Actual Speed = |[tex]V_{g}[/tex]| = 448.3 MPH
Direction = Ф = [tex]tan^{-1}[/tex] ([tex]\frac{60\sqrt{2}-525 }{60\sqrt{2} }[/tex])
Direction = Ф = - 79.1°
To find out the direction with respect to x - axis.
Direction = Ф = 360 - 79.1
Direction = Ф = 280.9°
Please help ASAP !! Via the photo below
Answer:
y-3 = -4 (x-1)
Step-by-step explanation:
y= -4x - 5
In slope-intercept form, they give us the slope, -4, and the y-intercept, -5 (we don't need for point-slope form).
Use the point (1,3) and substitute it into the equation.
Point-slope form: y-y1 = m(x-x1)
y-3 = -4 (x-1)
Alice had 12 needles in her sewing kit, but then lost n needles
Answer:
12-n
Step-by-step explanation:
im confused but sure
There are 7 newborn puppies in a litter. These
are their weights in ounces: 8.8, 9.4, 12.7, 13.5,
13.6, and 16.7.
What is the interquartile range of their weights?
Answer:
1
Step-by-step explanation:
plz help i need help thank you
Answer:
I am not the person to answer this question but the answer is B or74/3
A survey was done in Ms. G's class regarding students preferred type of pizza.
She has 80 students in her classes.
3/4 of them prefer cheese pizza.
How many prefer cheese pizza?
3/4 of 80 = 60.
First off let's start with 1/4 of 80.
80/4 = 20.
But the question asks for 3/4 and that’s three times more than 1/4 so you multiply 3 to 20.
20*3 = 60.
So your answer is 60.
1 20 points Which expression is equivalent to 8 + 20? 2(6 + 13) 4(4 + 20) ОООО 4(2 + 5) 2(2 + 10)
Nelson did 44 push-ups in 4 minutes.
What is the unit rate?
Answer:
5
Step-by-step explanation:
good luck
Five years ago the population of Washington was 0.7 million. It has now grown by 165 000.
What is the population now?
Answer:
The Population is 865000
Step-by-step explanation:
0.7 Million is equal to 700,000
700,000 + 165,000=865000
ken has saved $120 in the bank account. Do the following situations leaves ken with a balance of $0
I GIVEEEEE BRAINLILSTE
Answer:
39 in³
Step-by-step explanation:
Pyramid volume: v = 1/3Bh b=13 h=9
volume; 1/3 * 13 * 9 = 39
ang water ba ay tubeg?
Answer:
water has be taken to separate and has been take the Kyon bag and tricks to win their water to bag and separate the tube and water the
95°
60°
29
o
X =
Plzzzz I need this
Answer:
x=95
Step-by-step explanation:
They are vertical angles
A 750ml bottle of highland.Spring Water cost $0.96.Work out the cost per litre when bought in this way
Answer:
$1.28 per liter
Step-by-step explanation:
750ml/1 L = .75
.96/.75 = 1.28
What is the square route of 16?
Answer:
4
Step-by-step explanation:
4² = 16
(PLEASE HELP ASAP)
Find the measure of angle
Answer:
It would be 58 degrees
Step-by-step explanation:
Hope it helps :)
Is 8x-2y=2 a direct or inverse variation
Answer:
Neither, why... for it to be direct or inverse variation, the model has to fit either y=k/x or y=kx, it may not have a y-intercept at all if it is inverse variation and it must have a y-intercept of 0 for it to be direct variation.
Step-by-step explanation:
The statement y=2 is quite specific. Because k is positive, y increases as x increases. So as x increases by 1, y increases by 1.5. Inverse Variation: Because k is positive, y decreases as x increases. yx is a constant number -8. The constant of variation, k , is 23 . Inverse Variation
An inverse variation can be represented by the equation xy=k or y=kx .
That is, y varies inversely as x if there is some nonzero constant k such that, xy=k or y=kx where x≠0,y≠0 .
Suppose y varies inversely as x such that xy=3 or y=3x . That graph of this equation shown.
Zoom
Based on Passage 2, which of the following is most likely to
affect whether a river has a tidal bore?
A the depth of the water in the river
B the size of islands near the river
© the direction of the river's flow
the speed of the river's currents
As an estimation we are told 5 miles is 8 km.
Convert 17.8 miles to km.
Answer:
the answer would be about 28.60 km
Answer:
28 KM
Step-by-step explanation:
As an estimation we are told 5 miles is 8 km
mathematically , 5 miles = 8 KM
So , therefore 1 miles = 8/5 KM
now just , multiply 17.8 with 8/5
including the phones tablets and cloud, how many total bits of storage does the family have al together
Answer:
650,000,000
Step-by-step explanation:
6.5x10^8
Please I need help to complete this table please
Answer:
1+4+7
2+4+6
3+4+5
Step-by-step explanation:
Answer:
6+4+2=12 5+4+3 =12
Step-by-step explanation:
