a) The times that the projectile will reach a height of 20.8 ft are 3.643 seconds and 0.357 seconds, respectively.
b) The projectile will hit the ground 4 seconds later of its launch.
How to analyze the launch of a projectile
Herein we find a physical model known as projectile motion, which considers that the motion of the object is created solely by gravity and effects from Earth's rotation and air viscosity are neglected. The height of the projectile is represented by the following quadratic equation:
s = - 16 · t² + 64 · t
In the first part, we need to determine when the projectile will reach a height of 20.8 feet:
20.8 = - 16 · t² + 64 · t
16 · t² - 64 · t + 20.8 = 0
(t - 3.643) · (t - 0.357) = 0
The times that the projectile will reach a height of 20.8 ft are 3.643 seconds and 0.357 seconds, respectively.
And the time when the projectile hits the ground is found by solving on t in the following quadratic equation:
- 16 · t² + 64 · t = 0
- 16 · t · (t + 4) = 0
The projectile will hit the ground 4 seconds later of its launch.
RemarkIn the part (a) a dot symbol was omitted, correct part is: Find the time(s) that the projectile will (a) reach a height of 20.8 ft.
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Say that you own property with a market price of $74,000. the state tax assessors have given it an assessed value of 48% of that amount. if your state’s property tax rate is 0.031, how much do you owe in property tax, to the nearest dollar? a. $1,101 b. $2,294 c. $35,520 d. $1,193 please select the best answer from the choices provided a b c d
Option a. $1101 is the amount one owes in property tax
The market price of the property = $74000
The assessed value of the property as per the state tax assessors= 48%
So, assessed value in terms of dollars = (48/100)*74000 = $35520
Property tax is calculated on the assessed value of the property. Therefore we will calculate the property tax as follows:
Property tax rate in the state= 3.1%
So, property tax on the owned property will be = (3.1/100)*35520 = 1101.12 or 1101
Therefore, option a. $1101 is the correct answer for the given question
Hence, one needs to pay $1101 in property tax to the state
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A taxi driver's total income is AED 100 per day, less AED 600. Her expenses are AED 35 per day, plus
AED 450.
Which of the following statements is true?
Let x represent the number of days and y represent the total income or expenses.
Answer:
the AED450
Step-by-step explanation:
I don't know what to say about my answer but I think it's just the best way to anwers
Please help!!!! The question and answers are in the photo!!!!
Answer: x=5
Step-by-step explanation:
|x + 2| = 7
|5 + 2| = 7
|7| = 7
|7| = 7
Use the Angle Addition Postulate to find the measure of the unknown angle
Answer:
103
Step-by-step explanation:
61+42 = 103
Can someone help me with these so I can finish my math ??
1. -23 + 14 + (-33)
2. -7 + (-19) + 32
3. 102 + (-345) + 234
4. -78 + (-56) + 679
5. 178 + (-129) + 96
6. -312 + (-154) + 283
7. -14 + (-32)
8. -50 + 35
9. -81 + (-11)
10. 121 + (-232)
Answer:
Step-by-step explanation:
1. -42
2. 6
3. -9
4. 545
5. 145
6. -183
7. -46
8. -15
9. -92
10. -111
can you please help me with this?
thanks!
The answer is 18 : -2/3 : 15
Step-by-step explanation:
10 + 8 : (-1/3) - 1/3 : 8 + 7
18 : -2/3 : 15
pls help me 3 i beg of you (IM2)
The polynomial representing the area of the is 49n² - 25
How to determine the polynomialThe formula for area of a square is expressed as;
Area = a²
Where a is the side length
From the image shown, we can see that the side length takes the value (7n - 5)
Substitute the value into the formula
Area = a²
Area = (7n - 5)²
Area = (7n - 5) ( 7n + 5); this is so because of the difference of two squares
Expand the bracket
Area = 49n² + 35n - 35n - 25
collect like terms
Area = 49n² - 25
Thus, the polynomial representing the area of the cube is 49n² - 25
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Arianys wants to ride her bicyle 55.5 miles this week. she has already ridden 19 miles. if she rides 5 more days, which equation could be used to determine, m, the average number of miles she would have to ride to meet her goal?
Answer:4.6 miles for 5 days
Step-by-step explanation:
37 - 14 = 23
23 divided by 5 = 4.6
Answer:4.6 miles
Step-by-step explanation: she has already ridden 14 miles so 5 mroe days is 4.6 miles
Find the unit rate.
650 ft².
2
____
3
The sum of two numbers is 72. The difference of the two numbers is 40. What are the two numbers.
Let
x
be the larger number and
y
be the smaller number.
Write an equation that expresses the information in the sentence "The sum of two numbers is 72."
Step-by-step explanation:
x + y = 72
x - y = 40
x = y + 40
so, the first equation is then
y + 40 + y = 72
2y + 40 = 72
2y = 32
y = 16
x = y + 40 = 16 + 40 = 56
Janet rents a booth at the farmers market that costs $150 a day. She sells jars of fresh honey from her family farm for $8 each. At the end of the day, she splits all the money she brings home with her mom who takes care of the bees. If j is the number of jars of honey sold, write a function f(j) representing how much money Janet makes each day.
The function which represents how much money Janet makes each day according to the task content is; (8j/2) - 150.
Which function represents how much money Janet makes each day?Given;
Booth rent = $150Cost of each honey jar = $8Number of jars sold = jAccording to the given parameters; the total amount of money made from honey sale is; $8 × j = $8j.
Hence, since she splits the money with her mom, it follows that her personal income is; $8j/2.
Ultimately, after paying $150 a day for the booth rental, the amount made by Janet is; $8j/2 - $150.
The required function, f(j) is therefore;
f(j) = (8j/2) - 150.
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Expand and combine like terms.
(8x^4 + 1)² =
Which relation is also a function? 25pts!!!!!!!!
HELPP I AM STUCK IN THIS PROBLEM AND NEED IT BY TMR!!
Answer: 100 scores
Step-by-step explanation:
Let the number of points on your fifth test be x
Hence,
[tex]\displaystyle\\\frac{59+80+65+96+x}{5}=80\\[/tex]
Multiply both parts of the equation by 5:
300+x=80*5
300+x-300=400-300
x=100
What is the difference between the t568a and t568b standards? when should you use both standards?what is a patch panel used for?which cable types are immune to the effects of emi?
The termination standards used by Internet backbone infrastructure, Internet service providers, down to individual residences or companies, are T568A and T568B.
When should you employ both the T568A and T568B standards and what are their differences?
The orange and green pair order is the only distinction between T568A and T568B. Because it offers backward compatibility with both one pair and two pair USOC wiring schemes, the T568A wiring pattern is acknowledged as the ideal wiring design for this standard.What is T568B standard?
Twisted-pair network cable can be terminated in eight-pin modular connector connectors and jacks according to the wiring standards T568A and T568B. One component of the TIA/EIA-568 telecommunications cabling standards is these wiring standards.Learn more about T568B standard
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6ab, 8ba, (-2ab) and (-3 bc)
Answer:
4ab = 5bc is the answer
Step-by-step explanation:
Answer:
12ab - 3bc.
Step-by-step explanation:
I am assuming you want to add these.
6ab + 8ba + (-2ab) + (-3bc)
= 6ab + 8ab - 2ab - 3bc
= 14ab - 2ab - 3bc
= 12ab - 3bc.
Graph on the number line the following …. x >7 orx <-3
Answer:
Step-by-step explanation: Step 1: Make a table of that equation suppose x = 7. You can consider it like x+y = 7 in which x = will be 7 only and y will become 0.
Step 2: To answer this on a graph.. make all four quadrants and mark the coordinates such a the value of x = 7 should lie on the x-axis and y = 0 lies on the y-axis.
Step 3: Draw a straight line at the coordinates you got which were (7,0)
Here you go :)
Evaluate the function.
f(x) = -x² + 7x
Find f(-1)
Answer: f(-1)=-8
Step-by-step explanation:
f(x) = -x² + 7x
f(-1)=-(-1)²+7(-1)
f(-1)=-1-7
f(-1)=-8
oi i need an answer for this question what number is the blue dot imma get some woh'oh please answer
determine a skier's velocity in km/h, if it takes her 1.7 min to ski down a 1.67 km slope
Answer:58.8km/h
Step-by-step explanation: V= 1.67/1.7= 0.98 km/min
0.98*60min=58.8
What do you get if you cross a chicken with a cow?
Yes, I know how these sound.
Answer:
roost beef
Step-by-step explanation:
Please answer!!!! Spending 100 points on this, so you get 50 points for solving. 1st person to tell me ALL 3 of the answers gets Brainliest!
Answer:
6
Step-by-step explanation:
6. The value of a car is gradually declining in such a way that at the end of each year it is worth in January 2002 6 of its value at the beginning .it was worth 36000,000 in January 2000. What was its worth in January 2002?
Answer:
the value of a car is gradually declining in such a way that at the end
Step-by-step explanation:
I don't know what to say
Four fractions equal to 0.25
Which data set is the most spread from its mean?
14, 26, 24, 28
O22, 16, 18, 36
O22, 28, 20, 22
O 21, 19, 27, 25
Option B (22,16,18,36)
Mean- Mean is an average of the data collected in the data set. It can be found by dividing the sum of the values by the number of values. Median is the middle value of the data set when the values are placed in order from least to greatest.
It is easy to calculate: add up all the numbers, then divide by how many numbers there are.
Add all the numbers (22+16+18+36) = 92
Avarage = sum of the all given numbers/ total numbers
total numbers =4
so avarage= mean= 92/4 =23
(22,16,18,36) has the most spread because one number as low as 16 and one as high as 36. Our mean is 23, so that means that the spread is huge.
Hence the answer is (22,16,18,36).
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**WITH STEPS ASAP
1. If you know that limx→−1 f(x)=−3 and limx→0 g(x)=3, then evaluate the following limit:
limx→0 f(x−1)g(x)=
2. If you know that limx→4 f(x)=3 and limx→0 g(x)=−5, then evaluate the following limit:
limx→0 f(x+4)+g(x)=
Applying it's properties, the limits of the functions are given as follows:
1. 9.
2. -2.
What is a limit?A limit is given by the value of function f(x) as x tends to a value. Algebraically, for continuous functions, we have that:
[tex]\lim_{x \rightarrow a} f(x) = f(a)[/tex].
Hence, applying the property above, for item 1, we have that:
limx→0 f(x−1)g(x) = f(0 - 1)g(0) = f(-1)g(0) = -3 x 3 = 9.
For item 2, we have that:
limx→0 f(x+4)+g(x) = limx→4 f(x) + limx→0 g(x) = 3 - 5 = -2.
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What is √84 simplified
The simplified form of √84 is 2√21.
To simplify the given value, first, we need to write down the prime factorization of 84.
The prime factorization of 84 = 2² × 3 × 7
Therefore,
√84 = √(2² × 3 × 7)
Applying the radical rule: √ab = √a × √b, we get
√84 = √2² × √(3 × 7)
Applying the radical rule: √a² = a, for a ≥ 0, we get
√84 = 2 × √(3 × 7)
Multiply the numbers 3 and 7 we get 3 × 7 = 21
√84 = 2 × √21
√84 = 2√21
Therefore, the simplified form of √84 is 2√21.
Refer to the attached image for the above steps.
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Evaluate the expression 9^2 the two is small and on top of the nine
Answer:
81
Step-by-step explanation:
That's the squared symbol, it means to multiply the number by itself x amount of times. 9 times 9 = 81
∠A and \angle B∠B are vertical angles. If m\angle A=(2x+19)^{\circ}∠A=(2x+19) ∘ and m\angle B=(3x-18)^{\circ}∠B=(3x−18) ∘ , then find the measure of \angle A∠A.
The measure of Angle ∠A is 93
How to find the measure of angle ∠A?The given parameters are
Angle ∠A = 2x + 19
Angle ∠B = 3x - 18
The angles are vertical angles
So, we have
Angle ∠A = Angle ∠B
This gives
3x - 18 =2x + 19
Collect the like terms
3x - 2x = 18 + 19
Evaluate the like terms
x= 37
Substitute x= 37 in Angle ∠A = 2x + 19
Angle ∠A = 2 x 37 + 19
Evaluate
Angle ∠A = 93
Hence, the measure of Angle ∠A is 93
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Mia uses the formula πr2 to find the area of a circle. What is πr2 an example of?.
πr2 is an example of (D) a model.
What is a model?A mathematical model is a system description that employs math ideas and language. Mathematical modeling is the process of creating a mathematical model. Mathematical models are used in the natural sciences (physics, biology, earth science, chemistry), engineering disciplines (computer science, electrical engineering), and non-physical structures such as the social sciences (such as economics, psychology, sociology, political science). A large part of the field of operations research is the use of statistical equations to solve problems in business or military operations. Music, linguistics, and philosophy all use mathematical models (for example, intensively in analytic philosophy). A model is, for example, the method for the area of a circle, πr2.Therefore, πr2 is an example of (D) a model.
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The complete question is given below:
Mia uses the formula πr2 to find the area of a circle. What is πr2 an example of?
A. a robot
B. a car
C. a telescope
D. a model
