Answer:
The height of the building is 156.42 m
Step-by-step explanation:
Given;
mass of the ball, m = 0.66 kg
time of fall, t = 5.65 s
initial velocity of the ball, u = 0
Apply the following kinematic equation to determine the height of the building;
h = ut + ¹/₂gt²
h = ¹/₂gt²
h = ¹/₂ x 9.8 x 5.65²
h = 156.42 m
Therefore, the height of the building is 156.42 m
The building was 156.42 metres tall
From the question we are told that
the mass of the ball, m = 0.66 kg
the time of fall, t = 5.65 s
the initial velocity of the ball, u = 0
If we use one of the equations of motions in
h = ut + ¹/₂gt², we then have
h = (0 * t) + (0.5 * 9.8 * 5.65²)
h = 4.9 * 31.923
h = 156.42 m
The height of the building is 156.42 m
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if you toss a die (1), what is the probability of getting the number 5 NOT coming up?
Answer: .833333
Step-by-step explanation:
5/6
You could get a 1, 2, 3, 4, 6
So 5 in total over 6 options
Miles per day if you walk 6 2/3 miles in 3 days
Answer:
2.22 miles
Step-by-step explanation:
Is 3.777777... a rational number?
Answer:
3.777777777.... is a rational number
Step-by-step explanation:
3.777777777777777.............
Try this trick: for all (something)/9 is its repeat. Example: 7/9 = 0.77777....
so 3.777777.... is 3 7/9
So technically it is a rational number
I need help with this question‼️
Answer:
123
Step-by-step explanation:
Angle 1 and angle 3 are vertical angles, which are congruent.
So, if angle 1 is 123, then angle 3 is also 123.
Tiyanna received 90 votes for class sweetheart. The amount of votes she received were 30 more than 4 times the amount that Dominique . Write and equation that demonstrates the relationship between the amounts Tiyanna and Dominique received.
Answer:
30x4
Step-by-step explanation
the answer is 120
The Powerball lottery jackpot has a winning probability of 1/189,000,000. If you only consider the options of winning the jackpot ($100,000,000) or losing, what the is the mean value of a ticket that costs $2 to buy? At what point does the mean value of a ticket become positive?
Answer:
In this case, we can write the mean value as:
MV = ∑pₙxₙ - $2
Where pₙ is the probability of event xₙ
in this case we consider only two events:
x₁ = winning $100,000,000, p₁ = 1/189,000,000
x₂ = not winning (or winning $0.0), p₂ = 1 - p₁.
Then the mean value of the ticket is:
MV = $100,000,000*1/189,000,000 + 0*(1 - 1/189,000,000) - $2 = $0.53 - $2
MV = -$1.47
b) At what point the mean value becomes positive?
Well, if the ticket costs less than $0.53, the value would become positive.
if we also consider other possible prices, we will have other positive components in the sum above, then the mean value may become positive.
Now, you may notices that it does not matter if you buy N tickets, the mean value will always be negative becuase:
MV = N*$0.56 - N*$2 = N*-$1.47
This is because yes, as more tickets you buy, the more probabilities of winning the prize you have, but if you buy N tickets, you need to pay N times $2, so the mean value actually decreases.
A farmer has found that in a typical year they earn $75000 from their harvest. In a wet year they earn $48000, and in a drought they earn $26000. If the probability of a wet year is 0.30 and the probability of a drought is 0.20 find the mean amount this farmer will make from their harvest over a long period of years. If the farmer has the option of buying insurance for $2000 a year that pays $20000 in a year of a drought, does it make sense financially to buy the insurance? Justify.
Answer:
1. The mean amount that this farmer will earn over a long period of years is:
$57,100
2. It makes sense financially for the farmer to buy the insurance. In a year of drought, he earns only $5,200. If he spends on insurance premium, his earnings are reduced by $2,000 to $3,200 but the insurance reimbursement will take his overall net earnings to $23,200 ($3,200 + $20,000). Incurring the insurance expense is highly justified.
Step-by-step explanation:
Earnings in a typical year = $75,000
Earnings in a wet year = $48,000
Earnings in a drought = $26,000
Pro
Typical Wet Drought
Earnings $75,000 $48,000 $26,000
Probability 0.50 0.30 0.20
Expected
earnings $37,500 $14,400 $5,200
Mean earnings = $57,100
Insurance expense $2,000
Net earnings after insurance expense $3,200
Insurance Reimbursement $20,000
Net earnings $23,200
Which statements describe the functions? Check all
Answer: A,b,e
A:Each successive output is the previous output divided by 3.
B:As the domain values increase, the range values decrease.
E:The range of the function is all real numbers greater than 0.
These are the answers on e2020. Hope this helps
According to the report by the government-lending institution, college students who have credit cards have an average credit card balance of $1,076. A random sample of 40 college students was selected, and their average credit card debt was found to be $1,436. Assume the standard deviation for student credit card debt is $276. Using α=0.10 to complete parts a and b below.
a. Does this sample provide enough evidence to challenge the findings by Sallie Mae?
b. Determine the p-value for this test.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Population mean (μ) = 1076
Sample mean (m) = 1436
Number of samples (n) = 40
Population standard deviation (sd) = 276
α=0.10
Null: μ = 1076
Alternative : μ > 1076
This is a right tailed test;
Reject null;
If z > z0.10
Z0.10 = 1.28 ( right tailed)
Test statistic (z) :
(m - μ) / (σ / √n)
(1436 - 1076) / (276 / √40)
360 / 43.639431
= 8.249
Since
8.249 > 1.28
We reject the null.
B) using the p value calculator from Zscore and alpha level
Zscore = 8.249 ; α=0.10, one tailed
P value < 0.00001
Which shoes that result is significant at 0.10
Question 3
1 pts
The three angles of a triangle add up to 180°. If two angles are 57and 8what is the measure of the third angle?
39
96
141°
123
Answer:
39
Step-by-step explanation:
assuming the angles are 57 & 84
141 + 57 > 180
123 + 57 = 180 (no room for an 8)
96 + 57 = 153
180 - 153 = 27 (an 8 doesn't work for this answer)
57 + 39 = 96
180 - 96 = 84 ( we have a winner!)
List the steps of the operations for each number trick.
Answer:
2*6+5 then 3 times 7
Step-by-step explanation:
Order these numbers from least to greatest.
9.7082, 9.8, 7.938, 9.78
Answer:
Step-by-step explanation:
7.938, 9.7082, 9.78, 9.8
g(x)=4x-7
g(-9)
I need to evaluate the function
Answer:
-43
Step-by-step explanation:
just plug in -9 for x and solve
g(-9)=4(-9)-7
=-43
What is b/2+c=d equal to, please give me the full steps.
Answer:
ou can deduce what should (a+b+c)2 be using same reasoning..
(a+b+c)2=a2+ab+ac+ab+b2+bc+ac+bc+c2
=a2+b2+c2+2ab+2bc+2ca
Now the question is what is (a+b+c+d)2=?
Do I need to tell you ? Or you can figure it out ?
(a+b+c+d)2
Step-by-step explanation:
oops i put it all in the answer but heres your answer
show your work
21 = −7n
Answer:
It would equal -3
Step-by-step explanation:
you are trying to find how to get a positive 21 so you would have to divide 21 by -7
21 ÷ -7 = -3
to make sure it's correct muiltply it
-7 × -3 = 21
So therefore n = -3
a
Negative
b
Zero
c
Positive
d
Undefined
15 POINTS!!! HELP ASAP! Liz wants to write the phrase “the difference of seven and the number squared” as an algebraic expression. She wrote out several expressions in the table. Which expression correctly represents the phrase.
Expression number ____?
Answer:
7-n^2 (#3)
Step-by-step explanation:
"the difference of" means subtract following number from preceding number in this case 7 from an unknown and it wants this number squared therefore 7 - n^2 is your answer
Round 3,389
to the
nearest 100
Answer:
3400, If it's a decimal version then, 3.39
Step-by-step explanation:
3,389
The 8 is after the 3/the hundreds place. So you round the 8 because the 8 is greater then 5 and then you get 3,400. Decimal version: 3.34, the hundreds place in the decimal is the second digit to the right of the period. 3.389 = 3.34 9 is greater then 5. Your welcome :)
Galium is a metal that can melt in your hand at 302.93 k. what is the temperature in celcius ?
Answer:
29.93 ℃
Step-by-step explanation:
Temperature (K) = ℃ + 273
302.93 K = ℃ + 273
302.93 - 273 = 29.93℃
At 29.78 °C gallium can melt our hand.
How to convert °C to °F ?To convert temperatures in degrees Celsius to Fahrenheit, multiply by 9/5 and then add 32.From here we can also convert degree Fahrenheit to degree celsius. The S.I unit of temperature is Kelvin.
According to the given question
Gallium is a metal that can melt in your hand at 302.93 k. what is the temperature in celsius.
The conversion formula from kelvin to celsius is
°C = K - 273.15
Given it can melt our hand at 302.93 k
∴ °C = (302.93 - 273.15)k
°C = 29.78.
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Arlo bought a salad for $8 and 3 hamburgers. His total was
$29. How much did each burger cost?
Answer:
Each hamburger cost 7 dollars.
What is the next three terms for 7, 10, 13
Answer:
16, 19, 22
Step-by-step explanation:
you add 3 each time to get the next number in the sequence
The Palm Beach High Swimming Team is holding a car wash to raise money
for the team's banquet. All of the supplies for the car wash were donated by
parents of the team members. The graph below represents the situation.
SWIM TEAM CAR WASH
How much did the swim team charge for each car that it washed?
How much money did the swim team have in its account before the car wash?
If the team wants to earn $300, how many cars do they need to wash?
Answer:
Step-by-step explanation:
From the graph attached,
Relation between the amount of money raised and number of car washed is represented by a straight line.
Let the equation of the line is,
y = mx + b
where m = slope of the line = charges for each car wash
b = y-intercept = Initial amount the team have before the car wash.
Slope of the line will define the charges of car wash for each car.
Since, slope of the line passing through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the line passing through (0, 100) and (10, 150) will be,
m = [tex]\frac{150-100}{10-0}[/tex]
m = 5
Therefore, charges of each car wash will be = $5
y-intercept of the line 'b' = 100
Equation of the line will be,
y = 5x + 100
If team wants to earn $300,
300 = 5x + 100
5x = 200
x = 40
Therefore, 40 cars will be needed to wash by the swim team to earn $300.
1) The amount of money the swim team charged for each car that it washed is; $5 per car
2) The amount of money that the swim team had in its account before the car wash is; $100
3) If the team wants to earn $300, then number of cars they need to wash is; 40 cars
We know that formula for slope between two points is;
m = (y₂ - y₁)/(x₂ - x₁)
Let us take 2 coordinates from the given graph which are;
(10, 150) and (30, 250)
Thus;
m = (250 - 150)/(30 - 10)
m = 100/20
m = 5
Now, the equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
From our graph, the y-intercept is 100. Thus, equation of the line of the graph is;
y = 5x + 100
A) From our equation y = 5x + 100, we can say that number of cars are x and as such amount charged per car is $5 per car.
B) The amount of money the swim team had before washing cars is when the value of x is 0. Thus;
y = 5(0) + 100
y = $100
C) The team wants to earn $300 and so we will plug 300 for y into y = 5x + 100 to get;
300 = 5x + 100
5x = 300 - 100
5x = 200
x = 200/5
x = 40 cars.
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h-1=5h+3h-8 i need help with this ASAP
Answer:
1 = h
Step-by-step explanation:
h-1=5h+3h-8
Combine like terms
h-1 = 8h-8
Subtract h from each side
h-1-h = 8h-8-h
-1 = 7h-8
Add 8 to each ide
-1+8 = 7h
7 =7h
Divide by 7
7/7 =7h/7
1 = h
Divide X^2-14x+45 by x-9
Answer:
x + 5
Step-by-step explanation:
Answer: [tex]$x-5$[/tex]
Step-by-step explanation:
Factoring [tex]$x^2-14x+45$ gives us $(x-9)(x-5)$. Cancelling we get our desired answer, $\boxed{x-5}$.[/tex]
solve for x 3(x - 8)= 29.7
9. The
divides a segment into two
segments.
segment, additional
midpoint, congruent
ray, equal
line, broken
Answer:
it would be the midpoint
Using the coordinate system, translate the point (-3, -5) using the rule, x->+2 and y->+2, then using the answer, describe the movement vertically and horizontally on the coordinate system.
Answer:
Step-by-step explanation:
Translated point (-1,-3). The point moved to the right 2 (horizontal) and up 2 (vertical).
The coordinate of translated point would be (-1,-3) and its movement is vertically upside and horizontally right side of the coordinate system.
What is a transformation?A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.
Vertical shifting of a graph is done by adding any arbitrary constant to the function in shifting.
For example, If shift up by 1 unit, add 1 to the function
If shift down by 4 units, subtract 4 from the function
The original coordinate is (-3, -5).
Translate the point (-3, -5) using the rule, x→+2, and y→+2,
The coordinate of translated point would be (-3+2, -5+2) = (-1, -3).
Here the movement is vertically upside and horizontally right side of the coordinate system.
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Can y’all help me with this yo because it’s so hard
Answer:
The answer would be B
Step-by-step explanation:
Maria fills up a tank of water at 10 gallons per hour. How many gallons of water does she fill up the tank in 15 minutes?
Answer:
2.5 gallons in 15 minutes
Step-by-step explanation:
10/60=1/6 gallon per minute
1/6*15=2.5
The Sun has a greater influence on Earth's tides than the Moon.
True
False
Answer:
false.
look at the image
hope this helps
Answer: False
Step-by-step explanation: The moon controls earths oceans tides. The sun only controls about 44% of the tides whilst the moon controls the other 56%. Simply just gravitational pull, the moon is closer to earth than the sun