Answer:
V = 53.7 m/s ∠-21.41°
Step-by-step explanation:
Since the stone's initial vertical velocity, u is 0m/s(since it is thrown horizontally), we find the stone's final vertical velocity, v from v = u - gt where u and v have the meanings as given above, g = acceleration due to gravity = 9.8 m/s² and t = time = 2 s
So, v = u - gt
v = 0 m/s - 9.8 m/s² × 2 s
v = 0 m/s - 19.6 m/s
v = - 19.6 m/s
Since the stone's horizontal velocity is u' = 50 m/s, we find the resultant magnitude of velocity V from V = √(u'² + v²)
So, V = √((50 m/s)² + (-19.6 m/s)²)
V = √(2500 m²/s² + 384.16 m²/s²)
V = √(2884.16 m²/s²)
V = 53.7 m/s
Its direction Ф = tan⁻¹(v/u')
Ф = tan⁻¹(-19.6 m/s/50 m/s)
Ф = tan⁻¹(-0.392)
Ф = -21.41°
So it velocity V = 53.7 m/s ∠ -21.41°
At a football game, a vender sold a combined total of 181 sodas and hot dogs. The number of hot dogs sold was 51 less than the number of sodas sold. Find the
number of sodas sold and the number of hot dogs sold.
Answer: Number of hot dogs sold = 65
number of soda sold = 116.
Step-by-step explanation:
Let the number of hot dogs sold be represented by x.
Since the number of hot dogs sold was 51 less than the number of sodas sold, then the number of soda sold will be: = x + 51
Since the addition of both hot dogs and soda equals 181, we can form this into an equation which will be:
= x + (x + 51) = 181
x + x + 51 = 181
2x + 51 = 181
2x = 181 - 51
2x = 130
x = 130/2
x = 65
Number of hot dogs sold = 65
Since number of soda sold equals:
= x + 51
= 65 + 51
= 116
Therefore, number of soda sold is 116.
What is the length of each leg of the triangle below?
explain it please so i know how to do it please
Answer:
I can't see the file. But I did something that sounded LIKE this. So try multiplying the parallel sides.
Step-by-step explanation:
Jack and Jill each opened accounts that earn 5% interest compounded annually. Jack deposited $2500 and Jill deposited $3000. No additional money was deposited or withdrawn. At the end of 6 years, what will be the combined balance of these two accounts? (Round to the nearest cent)
Answer:
3,850
Step-by-step explanation:
have a good day!!
Find the values of the measures shown when each value in the data set increases by 25. Mean: 109 Median: 104 Mode: 96 Range: 45 Standard deviation: 3.6
Answer:
The new values are as follows:
Mean: 134
Median: 129
Mode: 121
Range=45
Standard Deviation=3.6
Step-by-step explanation:
When a k real number is added to all the elements of the dataset, the new measures of center (mean, median, and mode) are simply found by adding the value k to the previous values. Thus
[tex]Mean_{new}=Mean_{old}+k[/tex]
Here [tex]Mean_{old}[/tex] is 109 and k is 25 thus
[tex]Mean_{new}=Mean_{old}+k\\Mean_{new}=109+25\\Mean_{new}=134[/tex]
Similarly
[tex]Median_{new}=Median_{old}+k[/tex]
Here [tex]Median_{old}[/tex] is 104 and k is 25 thus
[tex]Median_{new}=Median_{old}+k\\Median_{new}=104+25\\Median_{new}=129[/tex]
Also
[tex]Mode_{new}=Mode_{old}+k[/tex]
Here [tex]Mode_{old}[/tex] is 96 and k is 25 thus
[tex]Mode_{new}=Mode_{old}+k\\Mode_{new}=96+25\\Mode_{new}=121[/tex]
When a k real number is added to all the elements of the dataset, the new measures of variation (range and standard deviation) remain the same thus.
[tex]Range_{new}=Range_{old}\\Range_{new}=45[/tex]
Similarly
[tex]Standard\ Deviation_{new}=Standard\ Deviation_{old}\\Standard\ Deviation_{new}=3.6[/tex]
So the new values of mean, median, mode, range, and standard deviation are 134, 129, 121, 45, and 3.6 respectively.
Martha rolls a 6 sided number cube two times.
What is the probability that she will roll a prime number both times.
Answer:
25% chance
Step-by-step explanation:
There are 3 prime numbers on a 6-sided die so that means there is a 1/2 chance you roll a prime number. In order to calculate the probability of 2 or more events you multiply their probability which would be
1/2 * 1/2 = 1/4
So the chance of rolling a prime number on both rolls is a 1/4 chance or a 25% chance
The probability that she will roll a prime number both times is 0.25.
What is the probability?The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.
Given:
Martha rolls a 6 sided number cube two times.
And the prime numbers in the cubes are {2, 3, 5}.
The probability that she will roll a prime number both times,
= 3/6 x 3/6
= 1/2 x 1/2
= 1/4
= 0.25
Therefore, 0.25 is the probability.
To learn more about the probability;
brainly.com/question/11234923
#SPJ2
A circle is graphed on a coordinate grid and then reflected across the y axis. if the center of the original circle was located at (x,y), which ordered pair represents the center of the new circle after the transformation?
Answer:
(-x,y)
Step-by-step explanation:
If it's positive and you flip it accross the y-axis, the x- coordinates become negative.
The following ordered pairs model a linear function rule.
(-2,-9), (-1,-7), (0,-5), (1,-3), (2,-1)
Which ordered pair can be added to the given set and still have the set represent the same linear function?
a. (1,3)
b. (-3,-11)
c. (3,11)
d. (4,0)
Answer:
c (3,11)
Step-by-step explanation:
Use your understandinh of rational functiosn to answer the followinh wuestions about the relationship of concert profit
Question:
Use your understanding of rational functions to answer the following question about the relationship of concert profit P(x)=-25x^2+875x-4750 to concert operating expenses c(x)=4750-125x.
Write an algebraic rule for the function T(x), which gives the ratio of profit to operating expenses, that is, the number of dollars earned for every dollar spent by the concert promoters.
Answer:
[tex]T(x) = \frac{x^2-35x+190}{5x-190}[/tex]
Step-by-step explanation:
Given
[tex]P(x)=-25x^2+875x-4750[/tex] --- concert profit
[tex]c(x)=4750-125x.[/tex] --- concert operating exercise
Solving (a): An expression for T(x)
T(x) is the ratio of P(x) to c(x)
So:
[tex]T(x) = \frac{P(x)}{c(x)}[/tex]
[tex]T(x) = \frac{-25x^2+875x-4750}{4750-125x}[/tex]
Factorize
[tex]T(x) = \frac{-25(x^2-35x+190)}{-25(-190+5x)}[/tex]
[tex]T(x) = \frac{x^2-35x+190}{-190+5x}[/tex]
Rewrite as:
[tex]T(x) = \frac{x^2-35x+190}{5x-190}[/tex]
Xander had $24, he spent 3/4 of it how much money does he have left? What is the common mistake? Write in (show your work)
Answer:
6. The common mistake is believing that the 3/4 money is remaining.
Step-by-step explanation:
Since Xander spent 3/4 of the money, you would need to multily 24 dollars by 3/4 and find amount spent. This would be 18. Then subtract 24 -18 to get an answer of $6
Una moto A consume 8,2 litros de gasolina por cada 100km y otra moto B 8,9 litros de gasolina también por cada 100km. Calcula la gasolina que consume una moto en 1 km
Respuesta:
Motocicleta A = 0.082 litros por km
Motocicleta B = 0.089 litros por km
Explicación paso a paso:
Dado :
Consumo de gasolina de la motocicleta A y la motocicleta B por 100 km
Motocicleta A = 8.2 litros
Motocicleta B = 8,9 litros
Consumo por kilómetro:
Litros consumidos por 100 km / 100 km
Motocicleta A:
8.2 / 100 km
= 0,082 litros por km
Motocicleta B:
8,9 / 100 km
= 0,089 litros por km
Which answer describes the type
of sequence?
3, 4, 7, 11, ....
•
neither arithmetic nor geometric
geometric
arithmetic
Answer:
it's arithmetic.
Step-by-step explanation:
geometric sequence is when each term moves on by dividing or multiplying.
arithmetic sequence is basically addition and etc.
Find the product 8/6n - 4(9n^2 -4)
Answer:
- (27n^3 - 12n - 1) over 3n
Step-by-step explanation:
Solve for x.
5(x - 2) = 30
Solve for x.
9 - 3x = 1 + x
Solve for x.
-3 + x = 2(x+3)
Solve for x.
7 = 3x - 5
Solve for x.
5x + 8 = 3x - 2
Solve for x.
2x - 9 = x + 7
Solve for x.
3x + 3 = 4 + x + (-1)
Solve for x.
3(2x + 4) = -6
Answer:
x > -1
Step-by-step explanation:
Move the constant to the right
-3x 6 -3
Subtract the numbers
-3x < 3
Divide both sides of the inequality by -3 and flip the inequality sign
x> -1
solution:
x > -1
What is the prime factorization of -14x^4
14cm
12 cm
22cm. Find the area.
Answer:
216 [tex]cm^{2}[/tex]
Step-by-step explanation:
Area of a trapezoid = 1/2h([tex]b_{1} + b_{2}[/tex]) = 1/2(12)(14 + 22) = 6(36) =216 [tex]cm^{2}[/tex]
Find the 13th term of the arithmetic sequence -3x+7, -5x+3,−7x−1,...
Answer:
-27x - 41
Step-by-step explanation:
Answer attached
Hope it helps:)
A snow storm hit Sanford
with 7 inches of snow in 28
hours. What was the rate of
the snowfall in inches per
hour?
Answer:
4 inches per hour
Step-by-step explanation:
7 x 4 = 28
Evaluating Expressions
Use the order of operations to help you solve.
67 - (8 X 6)
(100 + 25) = 5
18 X (32 +16)
67 - 48
125/5
19
-
Answer:
(100 + 25) / 5
125/5 = 25
18 x (32/16)
18 x 2 = 36
PEMDAS
parentheses, exponents, multiplication, division, addition, subtraction.
PLZZ MHANIFA THIS THE LAST ONE
its all in the pic
Answer:
1) Use two points to find the slope
Points from the graph
(0, -1) and (1, 2)Find the slope:
m = (2 - (-1))/(1 - 0) = 3Slope is 3, y-intercept is -1
The line is:
y = 3x - 1This is non-proportional as not passing through the origin (0, 0)
2) One point is sufficient to determine the slope as the line passes through the origin
Point (5, 2)
The slope is
m = 2/5Line is:
y = 2/5xThis is proportional
3) is answered here: https://brainly.com/question/23004781
Mr. Todd runs 3/4 of a mile every 1/10 of an hour. What is his unit rate in miles per hour?
Answer:
15/2 miles/hour
Step-by-step explanation:
this is the .answer in the pic
Please help I will mark Brainiest for first and correct answer
Steven is making mini berry pies. For the filling, he mixes 1 pound each of raspberries, blueberries, and blackberries. Then, he scoops 6 ounces of the filling into each mini pie tin. If he wants to use up all of his filling, how many mini pies can he make?
Please help I will mark Brainlist for fastest and correct answer
This pattern follows the rule multiply by 2. What other feature do you observe? 4, 8, 16, 32, 64, 128
Answer:
rule multiply of 4
Step-by-step explanation:
beacause 4×1=4
4×2=8
4×4=16
4×8=32
4×16=64
4×32=128
that's all I know
A metal block is delivered to a construction site. The block is in the shape of a rectangular prism.
what is the approximate length of the highlighted diagonal
A. 8.9 Feet
B. 11.6 feet
C. 12.3 feet
D 13.2 feet
Answer:
C.
Step-by-step explanation:
Answer: c 12.3
Step-by-step explanation:
Which of the following is the equation of a line that has a slope of -2 and passes through the
point (1,6)?
A.y=x+6
B.y=-2x+8
C.y=-2x+4
D.y=1/2x+4
Answer:
B. y = -2x + 8
Step-by-step explanation:
So the slope is the number that comes before the x, and if the slope is -2, that means the number before is -2, and it is.
And to know if it goes through (1, 6), put those numbers into the equation and see if they match up (x is the y-intercept)
6 = -2(1) + x
6 = -2 + x
x = 8
The one with both of these is B, which means B is the answer
Suppose you have a bag of colored plastic disks and you choose one without looking. The probability the disk you choose is is P() . Write this probability as a decimal. Use a word or phrase to describe this probability.
Question:
Suppose you have a bag of colored plastic disks, and you choose one without looking. The probability the disk you choose is yellow is P(yellow)=5/25.
Write this probability as a decimal.
Use a word or phase to describe this probability
Answer:
[tex]P(yellow)=0.2[/tex]
Unlikely event
Step-by-step explanation:
Given
[tex]P(yellow)=\frac{5}{25}[/tex]
Solving (a): Express as decimal
[tex]P(yellow)=\frac{5}{25}[/tex]
As decimal, we have:
[tex]P(yellow)=0.2[/tex]
Solving (b): Description
Since the probability is closer to 0 than 1, we can say that the probability of picking a yellow is unlikely
last one i hope (no pictures).
Answer:
9
Step-by-step explanation:
RST = 90
90 - (22 + 41) = 27.
3x = 27
27/3 = 9
x = 9
What are the measurements of each angle?
Answer:
2. 70
3. 70
4. 110
5. 110
6.70
7. 70
8. 110
Step-by-step explanation:
a straight line = 180 so 1+2 has to = 180 1+3 has to = 180 2+4 has to = 180 and so on
Which is larger? Convert to a decimal using long division. please show your work!!
Answer:
1.255
Step-by-step explanation:
10^-1 equals 0.1
1÷8=0.125
so our greatest one is 1.255
solve:
4sinx=3cosecx(0<=X<=180°)
Answer:
x=60°,120°
Step-by-step explanation:
4sinx=3cosecx
4sinx-3cosecx=0
4sinx-3/sinx=0
4sin²x-3=0
sin²x=3/4
sinx=√(3/4)
sinx=√3/2=sin60°,sin(180-60)
Answer:
sin(180-60) is the correct answer Hope it helps you have a great day keep smiling be happy stay safe
A cell phone is on sale for 30% off. If the sale price is $239.89, what is the original price? Write an equation and solve to find the original price.
Answer: 341.4286
Step-by-step explanation: