As the ball falls, the velocity of the ball increases with increase in distance
Velocity and MotionGiven Data
Distance = 100mIt should be noted that when an object falls, it velocity increases from zero to the maximum just before it hits the ground from the initial point of lunch.
Note: For a projectile the ball might reach a zero velocity at maximum height
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A population consists of 8 items. The number of different simple random samples of size 3 that can be selected from this population is a. 128 b. 56 c. 512 d. 24
Using the combination formula, it is found that the number of different simple random samples of size 3 that can be selected from this population is:
b. 56.
The order in which the items are selected is not important, hence the combination formula is used to solve this question.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, 3 items are chosen from a set of 8, hence:
[tex]C_{8,3} = \frac{8!}{3!5!} = 56[/tex]
Hence option b is correct.
More can be learned about the combination formula at https://brainly.com/question/25821700
The number of peanuts in bags is normally distributed with a mean of 172.5 peanuts and a standard deviation of 1.9 peanuts.
What is the z-score of a bag containing 168 peanuts?
−2.37
−2.06
−1.32
−1.05
5. Solve the following differential equations
(a) dy/dx = 3y sin x (general solution)
(b) dy/dx = (given that x=0 when y=0)
Answer:
Step-by-step explanation:
hello :
dy/dx = 3y sin x means : (1/3) dy/y =sinx dx.....continu integ
Simplify: |3 – 10| – (12 / 4 + 2)^2
0 - 32
O – 18
O3
0 - 6
Answer:
-18
Step-by-step explanation:
Simplify: |3 – 10| – (12 / 4 + 2)^2
[tex]|3 - 10| - (\frac{12}{4} + 2)^2\\\\|-7|-(\frac{12}{4} + 2)^2 < == absolute\ numbers\ are\ always\ positive\\\\7-(3+2)^2 < ==add\ numbers\ in\ parenthesis\\\\7-5^2 < ==square\ the\ number\ (5)\\\\7-25 < ==add\ numbers\\\\-18 < ==final\ answer[/tex]
Hope this helps!
Answer:
simplify the matrix:
36,−32,−18,3,−6
If csc a = -5square root 6 /12 and cos a >0, find cot a
The measure of cot(a) given that csc(a) = -5√6/12 is -1/4√61.5
Trigonometry identityGiven the following trigonometry function as shown below:
csc(a) = -5√6/12
Since csc(a) = 1/sin(a)
sin(a) = -12/5√6
sin(a) = -12√6/30 = -4√6/15 = opp/hyp
Determine the measure of cos(a)
adj^2 = (-4√6)^2+15^2
adj^2 = 144+225
adj = √369
cot(a) = cos(a)/sin(a)
cot(a) = √369/15 * 15/ -4√6
cot(a) = -1/4√61.5
Hence the measure of cot(a) given that csc(a) = -5√6/12 is -1/4√61.5
Learn more on trigonometry function here: https://brainly.com/question/1143565
What’s value of x in 12x-11=2x+5
Answer:
x = 1.6 or [tex]\frac{8}{5}[/tex]
Step-by-step explanation:
12x - 11 = 2x + 5
Add 11 to both sides,
12x - 11 + 11 = 2x + 5 + 11
12x = 2x + 16
Subtract 2x from both sides,
12x -2x = 2x - 2x + 16
10x = 16
Divide both sides by the same factor (in this cas the factor is 10),
[tex]\frac{10x}{10} =\frac{16}{10}[/tex]
[tex]x=\frac{8}{5}[/tex]
x = 1.6 or [tex]\frac{8}{5}[/tex]
What is an intercept?
100 points
Aaron goes to his favorite hamburger joint with a friend and orders two hamburgers and two French fries. His total cost is $10.50. The next week, he goes with two other friends. They order four hamburgers and three French fries. This time the total is $19.50. Choose two equations that could be used to determine the cost of hamburgers (h) and French fries (f).
Each french fry costs $1.5 and hamburger $3.75
=================
two hamburgers + two French fries = $10.50 ____ equation 1four hamburgers + three French fries = $19.50 _____equation 2Consider hambugers as "h" and fench fries as "f"
2h + 2f = 10.5 ___ equation 14h + 3f = 19.5 ___ equation 2We can solve them to find the cost of each hambuger and fench fry
Solve for f :
(10.5 - 2f)/2 = (19.5 -3f)/442 - 8f = 39 -6f-6f + 8f = 42 - 392f = 3f = 1.5Solve for h :
h = (10.5 - 2f)/2h = (10.5 - 2(1.5))/2h = 3.75In a lottery, the top cash prize was $657 million, going to three lucky winners. Players pick five different numbers from 1 to 53 and one number from 1 to 43.
A player wins a minimum award of $200 by correctly matching four numbers drawn from the white balls (1 through 53) and matching the number on the gold ball (1 through 43). What is the probability of winning the minimum award?
Answer:
1 chance in 123,396,455
Step-by-step explanation:
Number of permutations of 5 out of the 53 = 53*52*51*50*49 = 344362200
Number of permutations of 4 out of these 5 correct = 120
So number permuations for first 53 = 344362200/ 120 = 2869685
So for minimum prize there are 2869685 * 43 = 123396455 perms.
The population of a city increases by 0.7% per year. If this year's population is
390,000, what will next year's population be, to the nearest individual?
Answer:
392,730
Step-by-step explanation:
This increase will be over one year which will just be a 0.7% increase
to 390,000
0.7% of 390,000 is 2730
(0.007 * 390,000 = 2730)
390,000 + 2730 = 392,730
Or more simply we can add the increase in percentage to 1 for our multiplier
390,000 * 1.007 = 392,730
Write the slope-intercept form of the equation of the line that passes through the point (-4,0 ), and is parallel to y=-(5/4x)+4
Answer:
Step-by-step explanation:
hello :
note :
Use the point-slope formula.
y - y_1 = m(x - x_1) when : x_1= -4 y_1= 0
m= +5/4 (parallel means same slope)
an equation in the point-slope form is : y +0= -5/4(x+4)
4 pounds of apples cost $6. how much will 6 pounds cost
Answer:10 bucks
Step-by-step explanation:
have a good day
Help please i need to finish or i will not pass
Answer:
its 12p bro...
Step-by-step explanation:
There are 12 cards a pack. Carter bought a unknown amount of packs, so this is represented by p.
Think of it this way.
12p = 12*p
This is because of the distributive property.
Is 3x + 4 a factor
of f(x) = 3x2 + 13x2 + 18x + 8?
Answer:
Yes
Step-by-step explanation:
Yes, because the remainder of f(x) is 0
Answer:
4/3
Step-by-step explanation:
correct this answer
In what fraction of their games did Darnel's team score 2 or more runs?
Answer:
0.75 or 3/4Step-by-step explanation:
According to the given box plot, the 25% point matches the number 2.
It means the rest of the scores are 2 or more runs:
100% - 25% = 75% = 0.75 = 3/4 of all the runsA game requires rolling a six-sided die numbered 1 to 6 and flipping a coin. What is the
probability rolling an even number and flipping a head
Answer:
1/4
Step-by-step explanation:
on flipping a coin, we either get a heads or a tails and both the events are equally likely. So the probablity of getting a tails is 1/2.
Now
On rolling a die, we can get 6 possible outcomes(1,2,3,4,5,6)
But the favourable outcomes (an even number) are only 3. So the probablity of getting an even number is 3/6=1/2
In case. we have 2 events that need to occur together, we simply need to multiply their individual probablities to get the probablity of getting both the events together
So our required answer is
p(even number)× p(tails)= 1/2 × 1/2 = 1/4
In the diagram, ΔGEF and ΔHEF are congruent. What is the value of x? will give brainliest
A.
60
B.
41
C.
28
D.
30
Answer:
C. 28
Step-by-step explanation:
According to the provided figure :
The measure of the angle EFG equal to the measure of the angle EFH
Which means 2(x + 2) = 60
2(x + 2) = 60
Then
2x + 4 = 60
Then
2x = 60 - 4
Then
2x = 56
Then
x = 56/2
Then
x = 28
Hi my name is Leah and I need help with my homework that's on Ken Academy I'm in the 5th grade and I need help with this screenshot Can anybody give me an answer? it's due today!
What is the measure of BDC?
Answer:
250 degrees
Step-by-step explanation:
180-55 = 125
360-125= 250
need help asap 5 + 4 – (10^2 – 8 × 3) × 4 simplified into a group portion going on a plane in a hour need help fast
Answer:
-295
Step-by-step explanation:
10^2=100
8x3=24
100-24=76
76x4=304
5+4=9
9-304=-295
76.280
seventy-six and twenty-eight ten-thousandths
seventy-six point two eight zero
seven and six hundred twenty-eight thousandths
seventy-six and two hundred eighty thousandths
Answer:
seventy-six and two hundred eighty thousandths.
Step-by-step explanation:
[tex]-35x^{6}=(-5x^2)(B)[/tex]
Find the missing factor of B that makes this equation true
A patient is ordered 2 2/3 ounces of oral medication per dose today. How many ounces of this oral medication should the patient receive per day?
Answer:
Varies - possibly not enough information
Step-by-step explanation:
How many doses per day?
Do you only need to know the amount of oz. for "today"?
Does this need to be expressed in decimal form?
If the patient is ordered to take 2- 2/3 oz. per day, you have your answer.
Decimal form: 2-2/3 = 8/3 = 2.667 oz.
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sestion 1
In one week, Neha spends hours cooking and y hours cleaning.
The time she spends cleaning is at least equal to the time she spends cooking.
This can be written as y > r.
She spends no more than 16 hours in total cooking and cleaning.
What are the two inequalities in x and /or y to show this information
Answer:
Y ≥(greater than or equal to) R or Y ≤(less than or equal to) R
The phrase at least means about equal to, represented by that sign. In this case, equal to, because x + y = 16 total since she spent 16 hours cooking and cleaning. That would mean they both have to equal 8 to get 16. You can also do 10 + 6 to get 16. There are a few more solutions after this you can try, which I will not list at the moment.
__________________________________________________________
Questions?Ask in the comments box.
Find 12 1/2% of #400.00
find 12 1/2 percentage of 400 naira
Answer:
I think its 50 if this is correct can u mark me brainliest?
the sum of two integers is - 120 if one of them is 82 find the other
Answer:
38
Step-by-step explanation:
Here,
Let one of the unknown integer be x whereas the other one be 82 (according to question)
Now,
X+82=120
Or, x=120-82
Or, x=38
Therefore the value of the unknown integer is 38.
Super easy math, problem solving 7th grade
Answer:
P=1, G=2, T=3, E=6, D=7, A=9
explanation:
CAT+DOG=PETS
Replace each letter with its value:
893+742=1635 which is true
I will give Brainliest!
Mayra bought x grams of rice.
Anika bought 1/3 more than Mayra bought.
Select ALL of the equations that represent the relationship between the amount of rice that Mayra bought, x, and the amount of rice that Anika bought, y.
y = 4/3x
y = 2/3x
y = x - 1/3x
y = x + 1/3x
y = 1/3x
Answer:
i think last one is the right answer
Step-by-step explanation:
y=1/3x
At the popular restaurant fire wok 55% of guests order the signature dish what fraction of guests order the signature dish?
Answer:
The simplest fraction is 11/20
Step-by-step explanation:
Given that,
Guests order the signature dish is 55%.
We need to find simplest fraction of guests who order signature dish.
Let the fraction be X.
According to above information, calculation of data are as follows,
x=55/100
x=11/20
So, the simplest fraction of guests is 11/20
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2 Mae has 36 orange slices. She will fill each of
7 bags with the same number of orange slices.
How many slices will be in each bag? How many
slices will be left over?
Answer:
5 with 1 left.
Step-by-step explanation: 7 goes into 36 5 times.
5x7=35
36-35=1 left over.