Answer: 2.49 s
Step-by-step explanation:
Given
Rock is dropped from a height of [tex]h=100\ ft[/tex]
Using the equation of motion [tex]h=ut+\frac{1}{2}at^2[/tex]
here, [tex]u=0[/tex] (Rock is dropped)
[tex]a=g[/tex]
Putting values
[tex]\Rightarrow 100=0+\dfrac{1}{2}gt^2\\\\\Rightarrow t^2=\dfrac{2h}{g}=\dfrac{2\times 100}{32.2}\\\\\Rightarrow t=\sqrt{6.211}=2.49\ s[/tex]
What is the speed of a car that traveled a
total of 300 kilometers north in 2 hours?
Speed = Distance/Time
So, speed
= 300 km/2h
= 150km/h
= (150 × 1000m) / 3600s
= 150000m/3600s
= 41.66m/s [approximately]
Nathan started out on a road trip with his friend Ryan. Nathan picked Ryan up at his house and they started out. Nathan kept track of the distance he was from his house, d, after h hours of driving in the chart below.
Hours
2
4
6
10
Distance
114
224
334
554
How fast were the boys traveling? Be sure to give the correct units. "Show your work."
Answer:
57 mph
Step-by-step explanation:
Half of 114=57.
Which speeds are equal to 1/2 mile per hour? Mark all that apply.
5/6 mile/5/12 hour
1/4 mile / 1/2 hour
1/10 hour / 1/5 mile
3/8 mile / 3/4 hour
2/3 hour / 1/3 mile
4/5 mile / 4/10 hour
/
answer :
3/8 mile / 3/4 hour
What is the equation of the line that passes through the point (5, -2) and has a
slope of -2/5
Answer:
y=-2/5x
Step-by-step explanation:
y-y1=m(x-x1)
y-(-2)=-2/5(x-5)
y+2=-2/5(x-5)
y=-2/5x+10/5-2
y=-2/5x+2-2
y=-2/5x
Simplify 3/8 squared
Answer:
9/64
Step-by-step explanation:
3 x 3 is 9 and 8 x 8 is 64 and this fraction cannot be simplified
Drag each label to the correct location on the tree diagram. Each label can be used more than once, but not all labels will be used.
Brandon is making party decorations by selecting one of two kinds of balloons—heart-shaped balloons or oval-shaped balloons. He puts them in one of three baskets—red, pink, or white. The sample space for the event of selecting a balloon and putting it in one of the baskets is represented in the tree diagram. Complete the sample space.
oval
red
white
pink
Answer:
He is 100% right
Step-by-step explanation:
How would you begin to plot the ordered pair ( 6,2)?
find hcf of x³y and x⁴y³
no a and d
Answer:
See solutions below
Step-by-step explanation:
a) Given the expressions
x³y and x⁴y³
Find their factors
x³y = (x * x * x * y)
x⁴y³ = (x * x * x * y) * x * y * y
GCF = x*x*x*y
GCF = x³y
The expressions in parenthesis is the GCF. Hence the GCF of x³y and x⁴y³ is x³y
b) For 48m⁶n⁵p⁴ and 20m⁴n⁵p⁶
48m⁶n⁵p⁴ =12 * (4 * m⁴ * n⁵ * p⁴) * m²
20m⁴n⁵p⁶ = 5 * (4 * m⁴ * n⁵ * p⁴) * p²
GCF is the expression common to both terms
GCF = 4 * m⁴ * n⁵ * p⁴
GCF = 4m⁴n⁵p⁴
Subtract one-third from 8 times b
i think the answer is 1/3 from 8x 6 =-46.7 i think
PLEASE HELP
consider the function f(x)=3x+10
In a quiz contest, Mary answers 90% of the questions correctly without any additional clues from the quiz coordinator. The randomly generated numbers below simulate this situation.
The numbers 0 to 8 represent questions answered correctly without additional clues, and the number 9 represents questions that needed additional clues.
44 51 99 66 23
68 72 20 20 59
50 89 39 36 20
90 13 51 47 92
49 20 89 10 13
52 82 52 52 99
28 10 33 35 73
40 44 30 95 22
99 10 55 10 35
36 78 92 37 96
The estimated probability that it would take at least three questions for Mary to need additional clues is (_____)
The estimated probability that Mary needed additional clues to answer two consecutive questions is (_____)
To solve this problem, we should note that there are:
total questions = 100
questions answered correctly = 90
questions that needed additional clues = 10
1. The first question is to find the probability that in the third question, Mary would need additional clue. Therefore this implies that in the first and second questions, Mary would answer it correctly. Therefore:
Probability = (question 1 answered correctly) * (question 2 answered correctly) * (question 3 needed clue)
Probability = (90/100)*(89/99)*(10/98)
Probability = 0.08256 = 8.26%
2. The second question finds for the probability that two consecutive needs additional clue, therefore:
Probability = (question 1 needed clue) * (question 2 needed clue)
Probability = (10/100)*(9/99)
Probability = 9.1*10^-3 = 0.91%
Answer:
1. The estimated probability that it would take at least three questions for Mary to need additional clues is 0.24
2. The estimated probability that Mary needed additional clues to answer two consecutive questions is 0.06
Step-by-step explanation:
I just took the test! I hope this helps you! <3
Which of the following is true?
Swing Company
A -1 > 3
B -26 > -14
C -20 < 0
D 9 < -7
Answer:
C..... I think it is a answer
Julio's family traveled 3 8 of the distance to his aunt's house on Saturday. They traveled 3 5 of the remaining distance on Sunday. What fraction of the total distance to his aunt's house was traveled on Sunday?
Answer: [tex]\dfrac{3}{8}[/tex]
Step-by-step explanation:
Given
Julio traveled [tex]\frac{3}{8}[/tex] of distance to his aunt's house on Saturday
they have traveled [tex]\frac{3}{5}[/tex] of the remaining distance on Sunday
suppose the total distance is [tex]x[/tex]
Distance traveled on Saturday
[tex]\dfrac{3x}{8}[/tex]
Remaining distance is
[tex]x-\dfrac{3x}{8}=\dfrac{5x}{8}[/tex]
Distance traveled on Sunday
[tex]\Rightarrow \dfrac{3}{5}\times \dfrac{5x}{8}=\dfrac{3x}{8}[/tex]
The fraction of distance traveled on Sunday is
[tex]\Rightarrow \dfrac{\frac{3x}{8}}{x}=\dfrac{3}{8}[/tex]
help me find the cube of 1000
Answer:
10 X 10 X 10
Step-by-step explanation:
if thts what you talking aboyt
HELP ME NOW PLS WBAHS
Answer:
8
Step-by-step explanation:
you would add 1+3+4
Answer: The answer is 12
Step-by-step explanation: 4 x 3 x 1 just multiply all the number together
Find x. Round to the nearest tenth and only type the number for your
answer.
25
X
16
22
Answer:
10.7
Step-by-step explanation:
To find x we have to basically do pythagoream theorem twice. Both the traingles share the same long side. The find the long side of the top traingle do, [tex]a^{2} +16^{2} =25^{2}[/tex], and we find the long side to be [tex]\sqrt{369}[/tex]. Using this we now plug it into the pythagoream theorem for the bottom triangle. [tex]\sqrt{369} ^{2} +x^{2} =22^{2}[/tex], and doing this out we find that x=[tex]\sqrt{115}[/tex] or about 10.7.
Factor x^3 +5x^2- 24x
Step-by-step explanation:
(−3)(+8)
A farmer plants the same amount every day, adding up to 134 acres at the end of the year. If the year is 12 over, how many acres has the farmer planted?
fAnswer:
1608 acres
Step-by-step explanation:
total acres planted in 12 years = acres planted per year x number of years
134 x 12 = 1608
Answer:
5/6
Step-by-step explanation:
1 2/3 x 1/2 = 5/6
Please answer correctly! I will mark you as Brainliest!
Answer:
56.5 in
Step-by-step explanation:
Answer:
56.5 in³
Step-by-step explanation:
I wrote out the work in the file below:
Help pls I’ll give brainleist.
Answer:
Step-by-step explanation:
C and E look good Dani
What is the vertex for y= 4 (x-2)^2 +3
an expression that is equivalent to 60x+28y.
Answer:
Step-by-step explanation:
The trick here is to identify the greatest common factor of 60 and 28. 4 is such a factor. We can therefore rewrite 60x + 28y as
4(15x + 7)
There are other possible answers.
600x + 280y
------------------- is an example.
100
Help Me Please
The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.
What is the value of x?
Answer:
x = 59
Step-by-step explanation:
combine all four angle measure expressions and set equal to 360°, then solve
x + x + 2x + 3 + 2x + 3 = 360
6x + 6 = 360
6x = 354
x = 59
Simplify: (16-5)-9 x 1 A. 5 B. 2 C. 4 D. 3
Answer:
B it right...
Step-by-step explanation:
Answer: B 2
Step-by-step explanation:
16 - 5 = 11
11 - 9.1 = 2 option B
from the Deck of 52 cards is drawn at a random . what is the probability of a face card or ace ?
Step-by-step explanation:
Given that,
Total no. of cards = 52 (Total no. of outcomes)
There are 12 face cards. No of favorable outcomes = 12
P(E) = favorable outcome/total no of outcomes
So,
[tex]P(F)=\dfrac{12}{52}\\\\=\dfrac{3}{13}[/tex]
There is 4 ace in a deck of 52 cards.
[tex]P(A)=\dfrac{4}{52}\\\\=\dfrac{1}{13}[/tex]
Hence, this is the required solution.
7. The value of a piece of land in a town is
increasing every year. Its value, in dollars, t
years after 1970 and until 2001 can be modeled
by the function 31,000(1.001). What is the
domain of the function?
OA. All whole numbers greater than or equal to
1971 and less than or equal to 2001.
OB. All real numbers greater than or equal to
1971 and less than or equal to 2001.
Oc. All non-negative real numbers less than or
equal to 31.
OD. All whole numbers less than or equal to 31
it is C
Step-by-step explanation:
got an A for homework
USING YOUR MATH
5. A circular swimming pool has a diameter of 22 feet. A cover that just fits over the top of the
pool would have an area that is closest to which of the following?
(1) 69 sq.ft
(3) 732 sq.ft
(2) 380 sq.ft
(4) 1,521 sq.ft
Answer:
[tex]area = \pi {r}^{2} \\ = \frac{22}{7} ( { \frac{22}{2} )}^{2} \\ = 380 \: sq \: feet[/tex]
Add. Write your answer in simplest form. 3/8+2/5
Answer:
31/40
Step-by-step explanation:
it cannot be simplified any further
Answer:
3/4
Step-by-step explanation:
First, you have to find a common demenator between the fractions, you can do this by multiplying the denomenators together, 8 * 5 is 40
Next, you have to multiply the first fraction by 5/5 and the second fraction by 8/8 and now you have 15/40 + 16/40, and now that the fractions have the same denomenators you can just add the numerators
And you get 30/40, which can be reduced to 3/4 by diviging both the numerator and denomenator by 10
martin has \frac{5}{6} of pizza liam has 4 times as much pizza
Answer:
10/3 pizza
Step-by-step explanation:
step one:
This problem is focused on ratios and fractions
from the problem statement, Martin has 5/6 pizza
Liam has 4 times more of what Martin have
step two:
so we can express what Liam has as
=(5/6)*4 = 20/6or
=5/6+5/6+5/6+5/6= 20/6
= 20/6
The store has 6 blue notebooks, 11 red notebooks, 7 purple notebooks, 5 black notebooks, and 3 green notebooks. What is the probability that Melissa will buy a purple notebook?
7/25
7/32
3/16
11/32
Answer: 7/32
Step-by-step explanation:
Answer:
7/32
Step-by-step explanation:
i did the test and got it right