Answer: I got $744.50. Hope this helps :)
plssssss help fast!!!!Launching From a Tower
Suppose a projectile is launched from a tower into the air with an initial velocity of 48 feet per
second. Its height, h, in feet, above the ground is modeled by the function
h = -16t2 + vot + 64
where t is the time, in second, since the projectile was launched and v, is the initial velocity.
A. What tower platform height was the projectile launched from?
B. How long was the projectile in the air?
C. When did it reach its maximum height?
D. What was its maximum height?
E. What domain makes sense for the function in this context?
Answer:
A. h = 64
B. t = 4 -> 4 seconds
C. t = 1.5 -> 1.5 seconds
D. maximum height is 100 ft
E. The domain that makes sense for the function in this context is t
is any positive real number since time can not be negative.
Step-by-step explanation:
h = -16t2 + vt + 64
A. What tower platform height was the projectile launched from?
when the projectile was not launched, t = 0
h = -16(0)^2 + v(0) + 64 = 64
B. How long was the projectile in the air?
if the projectile lands, its height = 0 so substitute 0 for h
0 = -16(t)^2 + 48(t) + 64
= -16(t^2 - 3t - 4)
= -16(t - 4)(t + 1)
t = 4 or t = -1
Since time can not be negative, t = -1 can not be the answer. Therefore, the projectile lands when t = 4 or 4 seconds.
C. When did it reach its maximum height?
maximum -> t=-b/2a where in -16(t)^2 + 48(t) + 64, b = 48 and a = -16
t = -48/-32 = 1.5
D. What was its maximum height?
plug t = 1.5 into -16(t)^2 + 48(t) + 64
-16(1.5)^2 + 48(1.5) + 64 = -36 + 72 + 64 = 100
E. The domain that makes sense for the function in this context is t
is any positive real number since time can not be negative.
The maximum height is 100 feet at a time of about 1.5 seconds.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Given that:
h = -16t² + vt + 64
-16t² + 48t + 64 = h
h is the height, v is the initial velocity and t is the time.
a) The tower height is about 64 feet from the equation
b) The time is at h = 0, hence:
-16t² + 48t + 64 = 0
t = 4 seconds
c) Maximum height is at h' = 0
h' = -32t + 48
-32t + 48 = 0
t = 1.5 seconds
d) h(1.5) = -16(1.5)² + 48(1.5) + 64 = 100 feet
Find out more on equation at: https://brainly.com/question/1214333
Vehicles passing over a bridge have two options for paying their bridge toll: paying with a live cashier or using a Speed Pass device affixed to the dashboard. Data on a busy day for cars and trucks passing over the bridge are shown here.
Answer:
(A) 0.2814
Step-by-step explanation:
you do 47 (amount of trucks with speed pass) divided by 167 (total amount of vehicles) to get 0.2814.
Answer:
A) 0.2814
Step-by-step explanation:
edge 2023
1.Give an example of an irrational square root.
2.Which whole numbers does it fall between? Explain how you found the integers.
3.Which integer is the irrational square root closer to? Explain why.
90 POINTS!!
1) [tex]\sqrt{65}[/tex]
2) 8 and 9 because [tex]8=\sqrt{64}[/tex] and [tex]9=\sqrt{81}[/tex], and 65 is between 64 and 81
3) 8 because 65 is much closer to 64 than it is to 81
what is the reciprocal of 19
Answer:
1/19
Step-by-step explanation:
In order to find the reciprocal of a number, we need to flop it over.
"Flopping over" is not the same as "changing the sign of the number"
So what does "flopping over" actually mean?
Consult the following formula:-
[tex]\sf{The~reciprocal~of~a~is\mapsto\frac{1}{a} }[/tex]
According to the formula,
[tex]\sf{The~reciprocal~of~19~is~\frac{1}{19}}[/tex]
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
Use the scatter plot of car resale values to answer the following question
Car Resale Values
100
Please help me . What is x equal to?
1. 2 (x+3) =10
2. 2 (x+3)=9+x
3. 2(2x+1) = 3x+8
4. 2(2x+3) =X+9
Answer:
1. x = 2
2. x = 6
3. x = 6
4. x = 1
Step-by-step explanation: i think thats it
Answer:
x = 2, x = 3, x = 6, x = 1
Step-by-step explanation:
1
2(x + 3) = 10 ( divide both sides by 2 )
x + 3 = 5 ( subtract 3 from both sides )
x = 2
2
2(x + 3) = 9 + x ← distribute parenthesis on left side
2x + 6 = 9 + x ( subtract x from both sides )
x + 6 = 9 ( subtract 6 from both sides )
x = 3
3
2(2x + 1) = 3x + 8 ← distribute parenthesis on left side
4x + 2 = 3x + 8 ( subtract 3x from both sides )
x + 2 = 8 ( subtract 2 from both sides )
x = 6
4
2(2x + 3) = x + 9 ← distribute parenthesis on left side
4x + 6 = x + 9 ( subtract x from both sides )
3x + 6 = 9 ( subtract 6 from both sides )
3x = 3 ( divide both sides by 3 )
x = 1
I need help asap! The answer isn't 0.
A road rises vertically 6 feet for every 100 feet traveled horizontally. What is the rate of change in vertical feet conpared to horizontal feet as a car travels this road?
Where is the blue dot on the number line?
Simplify Rewrite the expression in the form 5 ^ n. (5/10)/(5/12) =
Answer:
[tex]5^{-2}[/tex]
Step-by-step explanation:
[tex]5^{(10-12)}[/tex]
The simplified expression in the form 5^n is 5^−1×6.
What is a fraction?A fraction represents a part of a number or any number of equal parts.
A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.
We are given that;
Form=5 ^ n
Now,
To simplify the expression, we need to first rewrite the fractions with a common denominator of 60: (5/10)/(5/12)=(5×6)/(10×6)÷(5×5)/(12×5)=(30/60)/(25/60)
Then we need to invert the second fraction and multiply: (30/60)/(25/60)=(30/60)×(60/25)=30/25
Then we need to simplify the fraction by dividing both numerator and denominator by 5: 30/25=(30÷5)/(25÷5)=6/5
Finally, we need to rewrite the fraction in the form of 5n
by using the property that a/b=a×b−1
So we have: 6/5=6×5−1=50×6×5−1=50−1×6=5−1×6
Therefore, by the fraction the answer will be 5^−1×6.
Learn more about fraction;
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Can the sides of a triangle have lengths 2, 5, and 9?
Help?
Answer:
no
Step-by-step explanation:
Solve (x - 3)2 = 5.
O A. x = 8 and x = -2
B. X=5115
C. x=3+ V5
O D. x=-31,5
Answer:
x = 3 ± √5
Step-by-step explanation:
Given:
(x - 3)² = 5
Find:
Value of x
Computation:
(x - 3)² = 5
x² - 6x + 9 = 5
x² - 6x + 4 = 0
x = [-b ± √b² -4ac] / 2a
x = 3 ± √5
Can somebody please
Answer them in grouping and explain the strategy
40x - 16
16x - 24x - 4 +12
-8x -8
Answer:
Step-by-step explanation:
4ox-16=4[10x-4]this is because 4 is the common factor in both 40and 16
16x-24x-4±12=4[4x-6x-1±3]
-8x-8=8[-1-1]
Which line is the steepest:
A
B
C
D
Suppose we select without looking one marbles de containing 5 red marbles and 7 green marbles What is the probability of selecting each of the following a) A red marble c) A purple marble b) A green marble d) Ared or a green marble a) What is the probably 3
Answer:
a) 5/12 probability of selecting a red marble.
b) 7/12 probability of selecting a green marble.
c) 0% probability of selecting a purple marble.
d) All marbles are either red or green, so 100% probability of selecting a red or a green marble
Step-by-step explanation:
A probability is given by the number of desired outcomes divided by the number of total outcomes.
a) A red marble
5 red marbles out of 5 + 7 = 12 total marbles
So, 5/12 probability of selecting a red marble.
b) A green marble
7 green marbles out of 5 + 7 = 12 total marbles
So, 7/12 probability of selecting a green marble.
c) A purple marble
There are no purple marbles, so 0% probability of selecting a purple marble.
d) A red or a green marble
All marbles are either red or green, so 100% probability of selecting a red or a green marble
How many ways can two students be chosen from a group of four?
4
6
14
10
Answer:
6
Step-by-step explanation:
Enter an inequality that represents the phrase "the sum of 7 and y is less than 9."
whats the inequality?
Answer:
Inequality Form:
y<2
Interval Notation:
(−∞,2)
The answer your looking for is: y<2
Barack Obama is 6° 1" tall, Michelle Obama is 5' 11" tall.
Who is taller with respect to their own gender? (Men have a
mean height of 70.4" with SD 3.0" and women have a mean
height of 65.1" with SD 2.6".) Is either one unusually tall?
Answer:
Michelle is taller for her gender
Step-by-step explanation:
a remote control car races straight down the street at 26 miles per hour. Two hours later, a second remote control car races straight down the same street at 52 miles per hour in pursuit of the first car. From the moment the first care started, how many hours will it take thje second car to catch up to the first? What type of problem best exemplifies this question?
Answer:
4 hoursStep-by-step explanation:
Given
Speed of the first car = 26 mphSpeed of the second car = 52 mphTime difference = 2 hoursThe first car makes 2*26 = 52 miles before the second car starts racingLet the time the second car races before catching the first car be x
The equation:
26x + 52 = 52x52x - 26x = 5226x = 52x = 2It takes 2 hours for the second car to catch the first car.
It takes 2 + 2 = 4 hours from the moment the first car started the race.
xy2 for x = 8 and y = 10.
Answer:
6400
Step-by-step explanation:
(8)(10)2
(80)2
6400
Answer:
160
Step-by-step explanation:
you replace x with 8 and replace y with 10
Whenever the numbers are close together such as "xy2" it mean you're multiplying
so whwn you multiply 8 * 10 * 2 you would get 160
Hoped this helped!
What type of variable cannot take a value of fraction between two consecutive sample
points?
a. discrete c. qualitative
b. continuous d. quantitative
Answer:
jhfmgcmvmhvkufmhvmhfmbv!hvmhvmbvku
Step-by-step explanation:
hkuufkugkufx,469('%hhohk
oyraaxcn!lpouytewqafbm
Help me and pls explain how you got the answer
Answer:
The length of the missing side is 8.5 ft
Step-by-step explanation:
To find the length of the missing side, we can use the Pythagorean theorem which states [tex]a^2 + b^2 = c^2[/tex] where c is the length of the longest side of a right-angle triangle while a and b are the other two sides. Note that the Pythagorean theorem ONLY applies to right-angle triangles.
[tex]a^2+b^2=c^2\\(6)^2+(6)^2=36+36=72=c^2\\\\c=\sqrt{72}= 8.48[/tex]
Rounding to the first decimal place, we get c = 8.5ft
The University of Florida is interested in determining if there is a difference in the proportion of male students that work versus female students, so they send out a survey with a question that asks, "Do you currently, or have you, worked a job while taking classes at UF?" Out of 874 males (group 2) that responded, 396 said yes, and out of the 902 females (group 1) that responded, 489 said yes. (Males - Females) Find the point estimate of the difference in the population proportion of females that work at UF versus males.
Answer:
-0.089
Step-by-step explanation:
Given that:
Males - Group 2:
Total number of males, n = 874
Number that said yes, = 396
P1 = 396 / 874 = 0.453
Females - Group 1 :
Total number of Females, n = 902
Number that said yes, = 489
P2 = 489 / 902 = 0.542
Point estimate of the difference in sample proportion:
P1 - P2
0.453 - 0.542
= −0.089
The rationale number between -1/3,1/4?
Answer:
1/6
Step-by-step explanation:
here is it
2. Tyler is driving to visit his grandmother. It takes him 5 hours to travel 260 miles. How fast
was Tyler driving?
Answer:
52mph
Step-by-step explanation:
260/5
What is the volume of the solid figure
Answer:
102 foot^3
Step-by-step explanation:
First, the box in the middle: 4x3x8=96
Then the 2 other boxes are: 2x(1x1x3)=6
6+96=102
Can you help me solve this problem please
Answer:
x = 4√3
Step-by-step explanation:
It's not letting me post, so refer to my explanation in the screenshot below:
A minibus drives 101 km in 1 hour. What is its average speed in kilometers per hour?
Answer:
Step-by-step explanation:
Average speed is distance divided by time.
s=(101km)/(1hr)
s=101 km/hr
Find the area of a triangle with a base length of 6 units and a height of 7 units. PLEASE SHOW YOUR WORK! (10 points)
a
10 square units
b
13 square units
c
14 square units
d
21 square units
Answer:
21 units
Step-by-step explanation:
The formula for solving a triangle is (b×h)/2
So that means 7 × 6 = 42 so then you want to divide 42 by 2
42÷2= 21
Answer:
D 21
Step-by-step explanation:
A=1/2bh is the formula it’s simpl.
50 points! Mhanifa please help! Everyone is putting random answers when I post a question and I need this done asap! DONT ANSWER IT IF YOU DONT KNOW IT GUYS
Answer:
x = 26°Step-by-step explanation:
The first two questions are answered here
https://brainly.com/question/21794653Question 3Use the equation for exterior angle
Exterior angle = sum of non-adjacent interior angles
5x - 2 = 2x + 765x - 2x = 76 + 23x = 78x = 26Answer:
x = 26° degrees the work bellow is correct i double checked it :)
Step-by-step explanation: