Answers
Answer:
Step-by-step explanation:
3)
[tex]\sf \boxed{v_{f}^{2}=v_{i}^{2}+2gd_{y}}\\\\v_{f} - > final \ velocity\\\\v_{i} - > Initial \ velocity = 0 \\\\d_{y} - > distance \ travelled[/tex]
g -> gravitational acceleration = 9.8 m/s²
[tex]v_{f}^{2}= 0 + 2*9.8 * 45[/tex]
= 882 m
[tex]\bold{\huge{\underline{ Answer }}}[/tex]
Answer 1 :-Here, We have
Initial velocity = 0 , as jeepney started from rest Time = 2 seconds Distance = 20 mTherefore,By using second equation of motion
[tex]\sf{ S = ut {\times} }{\sf{\dfrac{1}{2}}}{\sf{at^{2}}}[/tex]
Subsitute the required values,
[tex]\sf{ 20 = 0{\times}2 {\times} }{\sf{\dfrac{1}{2}}}{\sf{{\times}a(2)^{2}}}[/tex]
[tex]\sf{ 20 = }{\sf{\dfrac{1}{2}}}{\sf{{\times}4a}}[/tex]
[tex]\sf{ 20 = 2a }[/tex]
[tex]\sf{ a = }{\dfrac{ 20}{2}}[/tex]
[tex]\sf{ a = 10\:m/s^{2}}[/tex]
Hence, The acceleration of the jeepeny is 10 m/s² .
Answer 2 :-Here, we have
Initial velocity = 0 , as the coins started rolling from rest. Acceleration = 4 m/s²Time = 3 secondsTherefore,
By using second equation of motion
[tex]\sf{ S = ut {\times} }{\sf{\dfrac{1}{2}}}{\sf{at^{2}}}[/tex]
Subsitute the required values,
[tex]\sf{ S = 0{\times}3 {\times} }{\sf{\dfrac{1}{2}}}{\sf{{\times}4(3)^{2}}}[/tex]
[tex]\sf{ S = }{\sf{\dfrac{1}{2}}}{\sf{{\times}4(9)}}[/tex]
[tex]\sf{ S = }{\sf{\dfrac{1}{2}}}{\sf{{\times}36}}[/tex]
[tex]\sf{ S = 18 \: m }[/tex]
Hence, The coin will reach 18 m after 3 seconds.
Answer 3 :-Here,
A stone fell from a 45 m high cliff and hit the ground.So,
Initial velocity = 0Distance = 45 mAcceleration due to gravityBy using third equation of motion
[tex]\sf{ v^{2} = u^{2} + 2gs }[/tex]
Subsitute the required values,
[tex]\sf{ v^{2} = 0^{2} + 2{\times}9.8{\times}45 }[/tex]
[tex]\sf{ v^{2} = 90{\times}9.8}[/tex]
[tex]\sf{ v^{2} = 882 m}[/tex]
[tex]\sf{ v = \sqrt{882} m}[/tex]
[tex]\sf{ v = 29.7 m/s}[/tex]
Hence, The final velocity of the stone when the stone hits the ground is 29.7 m.
Related Questions
A group of seven kids line up in a random order. Each ordering of the kids is equally likely. There are three girls and four boys in the group. What is the probability that all the girls are ahead of all the boys
Answers
Using the arrangements formula, it is found that there is a 0.0286 = 2.86% probability that all the girls are ahead of all the boys.
What is the arrangements formula?The number of possible arrangements of n elements is the factorial of n, that is:
[tex]A_n = n![/tex].
The total number of outcomes is the arrangement of 7 elements, hence:
T = 7! = 5040.
The desired number of outcomes is all girls(3!), then all boys(4!), hence:
D = 3! x 4! = 6 x 24 = 144.
Hence, the probability is:
p = D/T = 144/5040 = 0.0286.
There is a 0.0286 = 2.86% probability that all the girls are ahead of all the boys.
More can be learned about the arrangements formula at https://brainly.com/question/24648661
What is 7/47 as a percentage rounded to one decimal place?
Answers
Answer:
14.9%
When finding the unknown percentage, divide. For this case, separate 7 and 47 from the fraction and convert 7 to 7,000
[tex]0.47~/~7,000\\~~~~~~=14,893\\[/tex]
In percentage, 14,893 rounds to 14,900, which can be interpreted as 14.9%
Please Answer Both Questions!
If your correct I'll mark you brainliest if someone else answers
Only need answers
Answers
Answer:
Card 7: 59.66 Card 8: 25.12
Step-by-step explanation:
Determine the volume of the cylinder. Use 3.14 for T.
2 in.
SOUP
6.5 in.
cubic inches
Answers
Step-by-step explanation:
Given :-
Radius = 2 inchHeight = 6.5 inchTo find :-
Volume of CylinderSolution :-
Volume of Cylinder = πr²h
putting the known values ,3.14 × 2² × 6.5 cubic inches
Volume = 81.64 cubic inches
Answer:
81.64
Step-by-step explanation:
Volume
πr²hGiven
r = 2 inchesh = 6.5 inchesSolving
V = 3.14 x (2)² x 6.5V = 3.14 x 4 x 6.5V = 3.14 x 26V = 81.64 cubic inchesIf 3 · N = 3, then N is the _____.
A. 6
B.2
C.-3
D.3
Answers
Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answers
Answer:
1. Set A
2. [tex]\textsf{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}\left(a+b\right)\left(a-b\right)=a^2-b^2[/tex]
3.
[tex](x+7)(x-7)[/tex]
[tex]\implies a=x\:\textsf{and}\:b=7[/tex]
[tex]\implies x^2-7^2=x^2-49[/tex]
[tex](x-9)(x+9)=(x+9)(x-9)[/tex]
[tex]\implies a=x\:\textsf{and}\:b=9[/tex]
[tex]\implies x^2-9^2=x^2-81[/tex]
[tex](4x-3)(4x+3)=(4x+3)(4x-3)[/tex]
[tex]\implies a=4x\:\textsf{and}\:b=3[/tex]
[tex]\implies (4x)^2-3^2=16x^2-9[/tex]
4.
[tex](2x+5)(2x-5)[/tex]
[tex]\implies a=2x\:\textsf{and}\:b=5[/tex]
[tex]\implies (2x)^2-5^2=4x^2-25[/tex]
5. [tex](x-6)(x-6)[/tex]
Cannot use Difference of Two Squares Formula to expand this expression. To expand this expression, you would need to use the FOIL method: [tex]\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]
[tex]\implies (x-6)(x-6)=x^2-6x-6x+(-6)^2=x^2-12x+36[/tex]
Answer:
1.Set A
2.Aplyyanses of shortcut based
[tex] \beta \sin( \sec( \cos(e \alpha \% log_{14 |kkjja| }(?) ) ) ) bcaue \: f \: thd \: \: aakdx[/tex]
Step-by-step explanation:
thire9
A hot air balloon is 1,200 feet above the ground. The angle of depression from the basket of
the hot air balloon to the base of a monument is 54°.
Which equation can be used to determine the distance, d, in feet, from the basket of the hot
air balloon to the base of the monument?
Answers
Answer:1200/d
Step-by-step explanation:
Thirty
five years ago, the average price of a textbook was $36. Today, the average textbook is $79. What percent increase is this? Round to the nearest percent if needed
A.54%
B.67%
C.119%
D.107%
pls help its an exam
Answers
Answer:
107% if you want to be sure check
You can paint 75 square feet of a surface every 45 minutes. Determine how long it takes you to paint a wall with the
given dimensions.
7 ft x 6 ft
It will take you --- minutes to paint the wall.
Answers
Answer:
25.2minute
Step-by-step explanation:
75ft^2=45 minutes
1 ft^2=45/75
and, 7ft*6ft=42ft^2
42ft^2=45*42/75
=25.2minutes
Hope you like the solution. I am not sure of the answer. Mark me as brainlist.
A jar of peanut butter is in the shape of a cylinder. The jar has a radius of 4 centimeters. It is filled with peanut butter to an inside height of 12 centimeters.
Answers
Answer:
602.88
Step-by-step explanation:
Formula for area is r²
4² is 16
16*3.14 = 50.24
50.24 × 12 = 602.88
Brainliest please?
Answer:
To find how much peanut butter is in this jar, we use the formula for the volume of a cylinder.
(formula for vol. of cylinder)
V = π[tex]r^{2}[/tex]h
Where 'π' represents pi(22/7 or 3.14), 'r' represents the radius which is being squared, and lastly 'h' stands for the height.
We are given the dimensions of:
Radius = 4 centimetresHeight = 12 centimetresThis is all the information we need to fulfill the equation to this formula(volume of cylinder).
Plug in what you know:-
V = π[tex]r^{2}[/tex]h
(For 'pi' I'll be using 3.14 instead of 22/7)
V = 3.14(4^2) · 12 ← (The symbol ' ^ ' means to the power of.)
V = 3.14(16) · 12
V = 50.24 · 12
V = 602.88, 602.88 centimetres is the volume for this jar.
11 is a quotient of a number y and 6
Answers
Answer:
y = 66
Step-by-step explanation:
"11 is a quotient of a numer y and 6" can be re-written as:
y/6 = 11
To solve, multiply both sides by 6.
y = 66.
Find the slope of the line passing through (-4, 4) and (-4, 8)
Answers
Answer:
[tex]\Longrightarrow: \text{The slope is 0.}[/tex]
Step-by-step explanation:
The slope formula is used to determine the slope of the line.
Slope formula:
[tex]\Longrightarrow:\sf{\dfrac{Y_2-Y_1}{X_2-X_1} }[/tex]
y2=8
y1=4
x2=(-4)
x1=(-4)
Rewrite the problem down.
[tex]\sf{\dfrac{8-4}{-4-(-4)}=\dfrac{4}{0}=\boxed{\sf{0} }[/tex]
Therefore, the slope is 0, which is our answer.I hope this helps! Let me know if you have any questions.
Undefined
[tex]\sf \bold{ slope \ formula : \ \dfrac{y_2-y_1}{x_2-x_1} }[/tex]
insert the following coordinates
[tex]\hookrightarrow \sf \dfrac{8-4}{-4-(-4)}[/tex]
[tex]\hookrightarrow \sf \dfrac{4}{-4+4}[/tex]
[tex]\hookrightarrow \sf \dfrac{4}{0}[/tex]
Hence, following the rule [ (a/0) is undefined ] The slope is undefined.
1. Ms. Rodriquez wanted to grow out her hair. She measured the growth each month. The first month
her hair grew 1.775 centimeters. The next month it grew 1.45 centimeters. The third month it grew
1.2 centimeters. How many centimeters did Ms. Rodriquez's hair grow in three months?
Answers
Answer:
Step-by-step explanation:
Plot 2 3/8 and 1 3/4 on the number line below
Answers
Answer:
There is a picture below of the number line with the numbers, plotted.
Step-by-step explanation:
For the 2 3/8, you would simply go to 2 and count 3 to the right becuase there are 8 points for each whole number to the next. It's pretty hard to explain sorry. For 1 3/4, you would make the denominator 8, so multiply it by 2. When we do this, we multiply both the numerator and denominator. What is done to one must be done to the other. 3*2 to get 6. 4*2 to get 8. So, 3/4 becomes 6/8. Now, we can go to 1, and count 6 points to the right to get to 1 3/4.
Solve for x.
Your answer must be simplified.
Answers
Help pls I need it due tomorrow
Answers
Answer:
The length of A is 2. The height of A is 1.5. The Length of B is 5. The height of B is 15. The length of C is 6. The height of C is 6.
Step-by-step explanation:
Dimensions of A
Length: 4 multiplied by 1/2 is 2
Height: 3 multiplied by 1/2 is 1.5
Dimensions of B
Length: 2 multiplied by 2.5 is 5
Height: 6 multiplied by 2.5 is 15
Dimensions of C
Length: 2 multiplied by 3 is 6
Height: 2 multiplied by 3 is 6
Final answers are bolded
Some1 help
Find the volume
9
7
8
Answers
Volume = 1÷3 area of base × height
Answer:
168 in³
Step-by-step explanation:
Volume of a rectangular pyramid
[tex]V=\dfrac13lwh[/tex]
where:
l is the base lengthw is the base widthh is the pyramid heightGiven:
l = 8"w = 7"h = 9"[tex]\implies \textsf{volume}=\dfrac13\cdot 8 \cdot 7 \cdot 9=168\: \sf in^3[/tex]
PLEASE HELP QUICK
Parallel lines a and b are cut by the transversal t. Explain how transformations can be used to show that angle 4 congruent is to angle 8 and angle 4 is congruent to angle 5
Answers
We can apply a translation (aka shifting) to angle 4 to slide it down until it matches up perfectly with angle 8. This is one way to see how the two angles are identical copies of each other.
Once we know that [tex]\angle 4 \cong \angle 8[/tex], we can then show that angles 5 and 8 are congruent by rotating angle 8 exactly 180 degrees around so that it lands perfectly on angle 5. By the transitive property we can say
[tex]\text{ If } \angle 4 \cong \angle 8 \text{ and } \angle 8 \cong \angle 5, \text{ then } \angle 4 \cong \angle 5[/tex]
Another way is to reflect angle 4 over the transversal, and then slide it down so it matches up with angle 5. This bypasses the need for angle 8.
All of this is valid because of the parallel lines. If the lines weren't parallel, then angles 4 and 8 wouldn't be congruent (nor would angles 4 and 5). However, angles 5 and 8 are congruent since vertical angles are always congruent.
find the sixth term in the sequence 5, 20, 80…
Answers
Answer:
5120
Step-by-step explanation:
The sequence here is multiplying the previous value by 4. Following this sequence, we get the fourth value is 320, the fifth is 1280, and the sixth is 5120
Figure b 32.5 12.5 30 figure a 13 12 5
Answers
What is the equation of the line shown in this graph? Enter your answer in the box.
Answers
Answer:
[tex]y=-3[/tex] as any point on this line has a y-coordinate of -3
Solve the formula S = 47tr2 for r.
Answers
Answer:
A
Step-by-step explanation:
First divide S by 4pi. Then take the square root to solve for r.
How many 10 inch pieces of bar can be cut from a bar that measures 120 inches?
Please explain !!
Answers
Answer:
12 ten inch pieces
Step-by-step explanation:
you do 120 divided by 10 to get an answer of 12
hope this helped =)
I already know what a and b are i just need help on c
Answers
Answer:
180⁰
Step-by-step explanation:
Since the angle of straight line is 180⁰
Answer:
A and B = 180 degrees
Step-by-step explanation:
this is because a circle is 360 and a line wich would be cutting the line in half is 180. so the two andles must add up to 180 degrees.
If the relative frequencies being compared are 0.21 and 0.79, which conclusion is most likely supported by the data? an association cannot be determined between the categorical variables because the relative frequencies are not similar in value. there is likely an association between the categorical variables because the relative frequencies are not similar in value. an association cannot be determined between the categorical variables because the sum of the relative frequencies is 1.0. there is likely an association between the categorical variables because the sum of the relative frequencies is 1.0.
Answers
There is likely an association between the categorical variables because the relative frequencies are not similar in value.
What is the frequency?Frequency describes the number of waves that pass a fixed place in a given amount of time.
A conditional relative frequency table is generated by a column from a set of data. The conditional relative frequencies of the two categorical variables are then compared.
If the relative frequencies being compared are 0.21 and 0.79, which conclusion is most likely supported by the data.
To know more about Frequency follow
https://brainly.com/question/15946945
Answer:
There is likely an association between the categorical variables because the relative frequencies are not similar in value.
Step-by-step explanation:
Consider the geometric series: 1000, 500, 250, 125,.
Question: A. Does this sequence converge or diverge?
B. What is the sum of the first 10 terms of the series?
C. What is the sum of the first 30 terms of the series?
D. What do these two sums tell you about the series as it continues?
Answers
Answer:
a diverge
b512000
c1000(2^30-1)
d
Step-by-step explanation:
t10=ar^9
=1000*2^9
s30=a(r^n-1)/r-1
=1000(2^30-1)/2-1
The geometric series given as 1000, 500, 250, 125,... is seen to be; Convergent.
What is divergent or convergent series?
A series is said to be divergent if it doesn't converge at any finite point. However, a series is said to be convergent if it converges at a finite point.
In this question, we see the series progressively reducing by one quarter of the previous number. Thus, it means that the sequence will converge close to zero and as such we can say taht the sequence is convergent.
Formula for sum of geometric series is;
Sₙ = a(1 - rⁿ)/(1 - r)
Thus;
S₁₀ = 1000(1 - 0.5¹⁰)/(1 - 0.5)
S₁₀ = 1998.05
Sum of first 30 terms is;
S₃₀ = 1000(1 - 0.5³⁰)/(1 - 0.5)
S₃₀ = 2000
Read more about convergent and divergent series at; https://brainly.com/question/15415793
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An inground swimming pool contains 2.3 times 10 superscript 4 units of water. which unit of measure was used? teaspoons cubic centimeters fluid ounces gallons
Answers
The measurement unit used for the water in the swimming pool is 2.3×10⁴ gallons.
What is the Unit conversion?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimeter is equal to 10 mm,
Though the real measurement is still the same the units and numerical values have been changed.
As it is given, the pool's volume or the amount of water in the pool is equal to 2.3×10⁴ units.
We know that an average swimming pool has a volume of water that is in gallons, therefore, the unit of water that will be filled in the swimming pool will be equal to 2.3×10⁴ gallons.
Hence, the measurement unit used for the water in the swimming pool is 2.3×10⁴ gallons.
Learn more about Units conversion:
brainly.com/question/4736731
Question 1 of 10
What's the probability of getting an even number and a head when rolling a die and then tossing a coin?
A.1/4
B.1/2
C.1/3
D.1/5
Answers
Answer: 1/4
Step-by-step explanation: The coin is fair, the probabilities of getting a head and a tail are equal to 12 . The probability of getting an even number on a die is 36=12 because among 6 results there are 3 even numbers
Lin needs `5` cups of flour to make muffins for her family, but only has `3. 5` cups of flour left. How much more flour does she need?
Answers
Answer:
1.5 cups
Step-by-step explanation:
5 - 3.5 = 1.5
13) Which expression is equivalent to 2(5 – 3x)?
-
A) 10 - 5x
B) 10 - 6x
-
07 - 5x
D) 7 6x
Answers
Answer:
B
Step-by-step explanation:
you need to distribute the 2
this leads to (2*5)- (2*3x)
=10-6x !