DETAILS PREVIOUS ANSWERS SCALCET9 4.9.079.EP. Since raindrops grow as they fall, their surface area increases, and therefore the resistance to their falling increases. A raindrop has an initial downward velocity of 10 m/s, and its downward acceleration is 9 - 0.90 a = {8 if Osts 10 if t > 10. Find the velocity v (in m/s) of the raindrop for time Osts 10. (t) = 55 m/s x If the raindrop is initially 600 m above the ground, find the height s of the raindrop (in meters) after it falls for 10 seconds. $(10) = 500 Xm How long in seconds) does it take to fall? (Round your answer to two decimal places.) 19.09 XS
Answers
In the given question, the raindrop's initial downward velocity is 10 m/s and the acceleration is given as9 - 0.90 a = {8 if Osts 10 if t > 10}.
For time Osts 10, acceleration is given as 8.
So, we can write the equation of motion of the raindrop as
v = u + atv = 10 + 8tVelocity of the raindrop
v (in m/s) after time t=10 can be found by putting the value of t in the above equation of motion:
v = 10 + 8 × 10
= 90m/s
Height of the raindrop after 10 seconds can be calculated using the equation,
s = ut + (1/2)at²Where u is the initial velocity,
a is the acceleration, t is time,
and s is the distance covered by the object or raindrop in this case.
Initial velocity (u) of the raindrop is 10 m/s.
The acceleration (a) of the raindrop is given as9 - 0.90
a = {8 if Osts 10 if t > 10}
For time Osts 10,
acceleration is given as 8.
So, we can write a = 8
s = ut + (1/2)at²= 10 × 10 + (1/2) × 8 × 10²= 500 m
Time taken by the raindrop to fall can be calculated using the equation of motion,
s = ut + (1/2)at²Here s is the distance travelled by the raindrop,
u is the initial velocity of the raindrop which is 10 m/s,
and a is the acceleration which is 8 m/s² for t < 10 and 10 m/s² for t > 10.
As the raindrop will fall from a height of 600 meters, s can be taken as 600 m.
600 = 10t + (1/2) × 8 × t²Thus,
600 = 10t + 4t² t² + 5t - 120
= 0(t - 8)(t + 15)
= 0 t
= 8 sec (because time cannot be negative)
Therefore, the time taken by the raindrop to fall is 8 seconds.
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Related Questions
Need help immediately
Answers
Answer:
52,5°
Step-by-step explanation:
0,5 × (135 - 30)
= 0,5 × (105)
= 52,5°
an object with no thickness that continues infinitely in two directions
A-plane
B-Line
C-Ray
D-opposite Ray
F-Point
Answers
Because a line is thin(flat) and it goes on forever.
Logan's solution and reasoning for solving an equation are shown below:
Given
Step 1: x-10-50 Reason 1: Given
Step 2
x-10+10=50+10 Reason 2 Addition Property of Equality
Step 3
60
Reason 3 Simplity
Step 4:
<= 60
Reason 4: Division Property of Equality
Step 5.
x = 40
Reason 5: Simplity
Choose which reason is incorrect.
O Reason 2
O Reason 3
O Reason 4
O Reason 5
Answers
Answer:
Logan's solution and reasoning for solving an equation are shown below:
Given
Step 1: x-10-50 Reason 1: Given
Step 2
x-10+10=50+10 Reason 2 Addition Property of Equality
Step 3
60
Reason 3 Simplity
Step 4:
<= 60
Reason 4: Division Property of Equality
Step 5.
x = 40
Reason 5: Simplity
Choose which reason is incorrect.
O Reason 2
O Reason 3
O Reason 4
Step-by-step explanation:
It costs $20 to get into Dollywood. Each ride costs an extra $4. f(x) = 20 + 4x is a function representing the total cost of a trip to Dollywood.
Answers
Answer:
f(x)=20+4x = -5
Step-by-step ;
answer is -5 .
Find the value of each variable.
4V3
b
60°
45°
C
d
Answers
Answer:
a = 6, b = 6√2, c = 2√3, d = 6
Step-by-step explanation:
Applying,
sin60° = a/4√3
Therefore,
a = sin60°×4√3
a = (√3/2)(4√3)
a = 3×2
a = 6
Also,
cos60 = c/4√3
c = cos60×4√3
c = 0.5×4√3
c = 2√3
also,
tan45 = a/d
d = a/tan45
d = 6/(1)
d = 6
Also,
sin45 = a/b
b = a/sin45
b = 6/(1/√2)
b = 6√2
PLEASE HELP DO SOON!!!
What is the length of CD?
What is the length of AB? Round answer to the nearest hundredth.
Answers
Answer:
CD=14AB=9.17Step-by-step explanation:
to understand thisyou need to know about:circlelet's solve:according to the question
DF×DG=CD×DEsubstitute the value of DF,DG, and DE:3×4=CD×2simplify multiplication:12=2CDsimplify substraction:2CD/2=12/2therefore CD=6SECOND QUESTION:
first find the measure of BE
6+2+612+214according to the question
AB²=BE×BCsquare both sides
\(\sqrt{AB^{2}}=\sqrt{BE\times BC}\)\(AB=\sqrt{BE\times BC}\)substitute the values of BE and BC
\(AB = \sqrt{14 \times 6} \)simplify multiplication:
\( \sqrt{84} \)simplify redical:
9.17Researchers are investigating the effectiveness of using a fungus to control the spread of an insect that destroys trees. The researchers will create four different concentrations of fungus mixtures: O milliliters per liter (ml/L), 1.25 ml/L, 2,5 ml/L, and 3.75 ml/L, An equal number of the insects will be placed into 20 individual containers. The group of insects in cach container will be sprayed with one of the four mixtures, and the researchers will record the number of insects that are still alive in each container one week after spraying (a) Identify the treatments, experimental units, and response variable of the experiment Treatments Experimental units: Response variable: (b) Does the experiment have a control group? Explain your answer, (c) Describe how the treatments can be randomly assigned to the experimental units so that each treatment has the same number of units.
Answers
(b) Yes, the experiment has a control group.
(c) The treatments can be randomly assigned to the experimental units by randomly selecting 20 containers and assigning each of the four treatments to 5 containers.
a) Treatments: Four different concentrations of fungus mixtures (0 ml/L, 1.25 ml/L, 2.5 ml/L, and 3.75 ml/L).
Experimental units: 20 individual containers with a group of insects.
Response variable: Number of insects that are still alive in each container one week after spraying.
(b) A control group is used to compare the results of the treatment group to a group that is not exposed to the treatment.
In this experiment, the control group can be the group of insects that are not exposed to any of the fungus mixtures.
c) The treatments can be randomly assigned to the experimental units by randomly selecting 20 containers and assigning each of the four treatments to 5 containers.
This way, each treatment has the same number of units and the assignment of treatments to units is random, which reduces the risk of bias in the experiment.
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IF YOU SOLVE THIS CORRECTLY WITH EXPLANATION U WILL GET BRAINILEST
-2r(8r+5)
Answers
Answer:
-16r^2 - 10r
Step-by-step explanation:
all you got to do is distribute
would you sing its you by ali gatie or im blue
Answers
Answer:
im blue
Step-by-step explanation:
I like it better than its you
Persevere with Problems A student scored 98, 94, 96, and 88 points out of 100 on the last four science tests. What score must the student score on the fifth test to have an average of at least 94 points? The student must score at least points on the fifth test to have an average of at least 94 points for all of the tests.
Answers
98+96+94+88+94=470
470÷5=94 (average)
The reflection of point S across the y-axis is point
. The reflection of point Q across the x-axis and the y-axis is point
, whose coordinates are (
,
).
Answers
Also point V
(-5,-5.5)
1. 6(4x+1)=78
2. 2(x+10)=60
Solve for x
Answers
Answer:
1. x= -3
2. x= 20
Step-by-step explanation:
sorry if this is wrong,
The inequality 10.45b + 56.50 < 292.67 is used to find the number of boxes (b) that can be loaded on a truck without exceeding the weight limit of the truck. The solution is written as {b | b < 22.6}. Which statement best describes the meaning of the solution? The truck can hold more than 22 boxes. The truck can hold more than 23 boxes. The truck can hold up to 22 boxes The truck can hold up to 23 boxes.
Answers
Answer:
The answer is C.
Step-by-step explanation:
The truck can hold up to 22 boxes.
Answer:C
Step-by-step explanation:
Is x = 2 a solution to the equation x + 7.6 = 7.8
A. No, because 2 + 7.6 = 7.8 is not true.
B. No, because 2 + 7.6 = 7.8 is true.
C. Yes, because 2 + 7.6 = 7.8 is not true.
D. Yes, because 2 + 7.6 = 7.8 is true.
Answers
Answer:
A.
Step-by-step explanation:
the solution to a relation (like an equation, but also inequalities and so on) is the set of values that make the whole thing true (or consistent).
every other value is not a solution.
I have a coupon to save 30% off of my bill. If my bill is originally $45.00
how much will I pay?*
Answers
Answer:
$31.50
Step-by-step explanation:
the decrease will be $13.50
Lea,Paul and Tynos invest in a business in the ratio 2:3:5.if the profit from the business is $450 000.how much does each person get?
Answers
Answer:
see explanation
Step-by-step explanation:
Sum the parts of the ratio, 2 + 3 + 5 = 10 parts
Divide the profit by 10 to find the value of one part of the ratio.
$450 000 ÷ 10 = $45 000 ← value of 1 part of the ratio, then
2 parts = 2 × $45 000 = $90 000 ← Lea's share
3 parts = 3 × $45 000 = $135 000 ← Paul's share
5 parts = 5 × $45 000 = $225 000 ← Tynos' share
7|r-5|+9=86 solve for x
Answers
Answer:
86-9 = 77
77/7 = 11
|r-5| = 11
r = -6, 16
Step-by-step explanation:
7|r-5|+9=86
7|r-5|=86-9
7|r-5|=77
|r-5|=11
r-5=11 or r-5 = -11
r = 16
or
r = -6
Las fracciones que tienen denominador 10, 100, 1000, etc las llamamos fracciones decimales y a su vez las podemos escribir como nummeros decimales 1) encierro las fracciones decimales con color 21/10; 43/8 ;31/12 ;439/100 ;34/10 ;84/7 , 35/1000 ;28/15 ;851/1000
Answers
Answer:
las fracciones decimales son:
21/10 = 2,1
439/100 = 4,39
34/10 = 3,4
35/1000 = 0,035
851 / 1000 = 0,851
Step-by-step explanation:
Toda fraccion cuyo denominador (el numero de abajo) es multiplo de 10 es considerada una fraccion decimal. No importa si el numerador es mayor al denominador. Justamente el sistema decimal fue concebido para facilitar la multiplicacion y division de los numeros por algun multiplo de 10.
Jamie did some push ups on Monday and Tuesday
Answers
Answer:
what would you like?
More information needs to be provided.
The volume of a cube is 343 cubic meters. what is the length of one of the sides?
Answers
The cube root of 343 is 7, because 7 x 7 x 7 = 343. Therefore, the length of one side of the cube is 7 meters.
You can also solve this problem by using the formula for the volume of a cube, which is given by:
Volume = s^3
where s is the length of one side of the cube.
Substituting the known volume (343 cubic meters) into this formula and solving for s, we get:
s = ∛343 = 7 meters
So, the length of one side of the cube is 7 meters. (Mark brainliest pls)
A survey was conducted two years ago asking college students their options for using a credit card. You think this distribution has changed. You randonty select 425 colage students and ask each one what the top motivation is for using a credit card. Can you conclude that there has been a change in the diston? Use -0.005 Complete pwts (a) through (d) 28% 110 23% 97 Rewards Low rates Cash back Discounts Other 20% 21% 100 8% 48 st What is the alemate hypothes, ₂7 OA The dirbusion of movatns a 20% rewards, 23% low rate, 21% cash back, 0% discours, and 20% other The deribution of motivations is 110 rewards, 97 low rate 109 cash back, 48 discounts, and other The distribution of motivations differs from the old survey Which hypsis is the dai? Hy (b) Determine the offical value- and the rejection region Mound to the deceal places a ded) Help me solve this View an example Clear all Get more help. 18 Points: 0.67 of 6 Rasponse Save Check answer tv N Bik Old Survey New Survey Frequency, f A survey was conducted two years ago asking college students their top motivations for using a credit card. You think this distribution has changed. You randomly select 425 colege students and ask each one what the top motivation is for using a credit card. Can you conclude that there has been a change in the distribution? Use a-0025. Complete parts (a) through (d) % 28% 23% 110 97 Rewards Low rates Cash back Discounts A% 21% 100 48 Other 20% 61 What is the alternate hypothesis, H,? CA The distribution of motivations is 28% rewards, 23% low rate, 21% cash back, 8% discounts, and 20% other The distribution of motivations is 110 rewards, low rate, 109 cash back, 48 discounts, and 61 other c. The distribution of motivations differs from the old survey. Which hypothesis is the claim? OH H₂ (b) Determine the critical value. and the rejection region. X-(Round to three decimal places as needed.)
Answers
To determine if there has been a change in the distribution of motivations for using a credit card among college students, a survey of 425 students was conducted.
The alternate hypothesis states that the distribution of motivations differs from the old survey. The critical value and rejection region need to be determined to test this hypothesis.
To test if there has been a change in the distribution of motivations, the null hypothesis assumes that the distribution remains the same as in the old survey, while the alternate hypothesis suggests a difference. In this case, the alternate hypothesis is that the distribution of motivations differs from the old survey.
To determine the critical value and rejection region, the significance level (α) needs to be specified. In this case, α is given as -0.005. However, it seems there may be some confusion in the provided information, as a negative significance level is not possible. The significance level should typically be a positive value between 0 and 1.
Without a valid significance level, it is not possible to determine the critical value and rejection region for hypothesis testing. The critical value is typically obtained from a statistical table or calculated based on the significance level and the degrees of freedom.
In conclusion, without a valid significance level, it is not possible to determine the critical value and rejection region to test the hypothesis regarding the change in the distribution of motivations for credit card usage among college students.
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what is the difference between 5.02 and 5.2
Answers
Answer:
0.18
Step-by-step explanation:
5.2-5.02=0.18
Subtract the smaller number from the larger number. Difference always means you have to subtract.
Answer:
\(\sf\longmapsto0.18\)
Step-by-step explanation:
\(\sf\longmapsto \: 5.2 - 5.02\)
\(\sf\longmapsto \: 0.18\)
Note:
Difference means Subtract (–)
Write an internet for this situation: a deposit of $245
Answers
Answer:
.
Step-by-step explanation:
MODELING REAL LIFE The table shows the amount y (in fluid Ounces) of carpet cleaner in a tank after x minutes of cleaning.
X
у
5 108
10 88
15 68
a. Write an equation that represents the amount of cleaner in the tank after x minutes.
y = - Ix + 128
b. How much cleaner is in the tank when the cleaning begins?
There are
fluid Ounces of cleaner in the tank.
C. After how many minutes is the tank empty?
Answers
The tank will be empty in 32 minutes.
What is the point-slope form of a line?If m is the slope of the line that passes through the point (x₁, y₁), then the equation of the line is y - y₁ = m (x - x₁).
(a)
The table of values is given.
Rewrite the table of values as ordered pairs:
(5,108), (10,88), (15,68)
Since the difference between any two consecutive y values and the difference between any two consecutive x values is constant, the data shows a linear relation.
The slope of the line that passes through (5,108) and (10,88) is:
m = (88-108)/(10-5)
m = -4
The equation of the line with slope m = -4 and passes through (5,108) is:
y - 108 = -4(x - 5)
y = -4x + 20 + 108
y = -4x + 128 (1)
(b)
Substitute x = 0into equation (1):
y = - 4(0) + 128
y = 128
The tank is 128 ounces cleaner at the beginning.
(c)
Substitute y = 0 into equation (1):
0 = -4x + 128
4x = 128
x = 32
Therefore, the tank will be empty in 32 minutes.
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A vine called the mile-a-minute weed is known for growing at a very fast rate. It can grow up to 0.5 ft per day. How fast in inches per hour can the mile-a-minute weed grow up to? Show your work using the correct conversion factors.
please show your work step by step by step.
Answers
the mile-a-minute weed can grow up to 0.25 inches per hour.
What is fraction?A fraction is a mathematical expression that represents a part of a whole. It is written as a ratio of two numbers, the numerator and the denominator, separated by a horizontal line. The numerator represents the part of the whole that is being considered, while the denominator represents the whole.
Given by the question.
To convert 0.5 ft per day to inches per hour, we can use the following conversion factors:
1 ft = 12 inches (since there are 12 inches in a foot)
1 day = 24 hours (since there are 24 hours in a day)
So, to convert 0.5 ft per day to inches per hour, we can use the following steps: Convert feet to inches:
0.5 ft x 12 inches/ft = 6 inches
Convert days to hours:
1 day = 24 hours, so:
6 inches/24 hours = 0.25 inches per hour
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Determine whether the triangles are similar, If similar state how( AA. SSS. SAS) and write a similarity statement.
Answers
By the AA similarity theorem, we can conclude that triangles FGH and FPQ are similar.
EquationsTo prove that triangles FGH and FPQ are similar, we need to show that their corresponding angles are congruent and their corresponding sides are proportional.
Angle F in triangle FGH corresponds to angle F in triangle FPQ
Angle H in triangle FGH corresponds to angle Q in triangle FPQ
Angle G in triangle FGH corresponds to angle P in triangle FPQ
From the problem, we know that angle F = 63 degrees and angle H = 30 degrees. We also know that angle GPQ = 93 degrees, which means angle G + angle P = 93 degrees. Therefore, angle G = 93 degrees - angle P
Using the fact that the sum of angles in a triangle is 180 degrees, we can find angle Q:
Angle FGH: angle F + angle G + angle H = 63 degrees + (93 - angle P) + 30 degrees = 186 - angle P degrees
Triangle FPQ: angle F + angle P + angle Q = 180 degrees
Therefore, angle Q = 180 - angle F - angle P = 117 - angle P degrees
Now, we can compare the corresponding sides:
Side FG in triangle FGH corresponds to side FQ in triangle FPQ
Side GH in triangle FGH corresponds to side PQ in triangle FPQ
Side FH in triangle FGH corresponds to side PQ in triangle FPQ
To show that these sides are proportional, we can use the Angle-Angle (AA) similarity theorem and We already know that angle F in triangle FGH corresponds to angle F in triangle FPQ, and angle G in triangle FGH corresponds to angle P in triangle FPQ. We just showed that angle Q in triangle FPQ corresponds to angle H in triangle FGH. Therefore, we have two pairs of corresponding angles that are congruent.
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Find out the length of segment GF?
Answers
Answer:
8
Step-by-step explanation:
Since the two horizontal lines are parallel, we have that triangle CDG and triangle CEF are similar (corresponding points in that order). Therefore, using similarity, CD/CG = CE/CF. Therefore 3/4 = 9/(4+x).
So 12 = 4+x, and x = 8.
Question 7
In the morning, the temperature starts out around 50°F. As
the day goes on, the temperature rises first slowly, then more
quickly. It stays constant for an hour before dropping slowly.
Select the graph that best represents this description.
Temperature (°F)
û Temperature (°F)
10 AM
10 AM
12 PM
Time
4PM
12 PM 2M
Time
emperature (°F)
emperature (°F)
Answers
1st graph.
It shows the accurate descent and rise as well as the constant motion.
Answer:
The answer is the top-left graph.
Step-by-step explanation:
Which function has a range of all real numbers greater than or equal to -4?
A. f(x) = x-4
B. f(x) = -4x
C. f(x) = (x+1)^2 - 4
D. f(x) = -|x-3|-4
Answers
Answer:
C. \(f(x)=(x+1)^2-4\)
Step-by-step explanation:
A. the graph is a straight line with slope 1. It goes up/down infinitely far so the range is all real numbers. Not A!
B. The graph is a straight line with slope -4, so, like the function in A, the range is all real numbers. Not B!
D. The graph is an absolute value function y = |x|, reflected over the x-axis, shifted right 3 units, then shifted down 4 units. So the graph starts witha "vee" shape opening up, becomes a vee opening down, then ultimately gets shifted down 4 units. The range is all real numbers less than or equal to -4.
See the attached graphs. image2 is the function in answer choice D.
Which polynomial is a factor of both expressions? x – 8 x + 7 x – 2 (x – 2)2
Answers
Answer:
C. x-2
Step-by-step explanation:
edge
Answer: the 3rd the answer c
x-2
Step-by-step explanation: