Suppose that the height s of a ball (in feet) at time t (in seconds) is given by the formula s(t) = 64 - 16(t - 1)^2. This function is graphed below on the interval 0 ≤ t ≤ 3. Which labeled point (A-G) corresponds to the release of the ball? How high (in feet) was the ball when it was released? Which labeled point corresponds to the highest point of the ball? When (in seconds after being released) did the ball reach its highest point? Which labeled point corresponds to the ball hitting the ground? How long (in seconds) after being released did the ball hit the ground?
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Suppose that the height s of a ball (in feet) at time t (in seconds) is given by the formula
s(t) = 64 - 16(t - 1)^2
t interval = 0 ≤ t ≤ 3
1) point A (from the graph)
11) Height of ball when it was released
Ball was released at t = 0
s(0) = 64 - 16(0 - 1)^2
= 64 - 16(-1)^2
= 64 - 16(1)
= 64 - 16
= 48 feets
111) point C ( from the graph)
IV) highest point of the ball is 64
Hence,
s(t) = 64 - 16(t - 1)^2
64= 64 - 16(t - 1)^2
16(t - 1)^2 = 64 - 64
16(t - 1)^2 = 0
16t^2 - 32t + 16 = 0
t^2 - 2t + 1 = 0
(t-1) = 0 (t-1) = 0
t = 1
V) Point G (from graph)
V1)
height = 0
s(t) = 64 - 16(t - 1)^2
0 = 64 - 16(t - 1)^2
16(t - 1)^2 = 64
(t - 1)^2 = 64/16
(t - 1)^2 = 4
(t - 1)² = 2²
t - 1 = 2
t = 2 + 1
t = 3
Related Questions
is 0.007 and 7 over 100 equal
Answers
Answer:
No it's not equal
Step-by-step explanation:
WILL MARK BRAINLIEST TO FIRST CORRECT ANSWER!!!
Math the the sentence with an appropriate variable expression. The number of miles a plane can travel on 50 gallons of fuel.
a. x + 50
b. 50x
c. 50 ÷ x
d. 50 - x
Answers
Answer:
C.
Step-by-step explanation:
You will need to divide the miles in order to understand how much fuel
Decrypt the word DKA if it was encrypted using an alphabetic Caesar shift cipher that starts with shift 5 (mapping A to F), and shifts one additional space after each character is encrypted. Use only capital letters in your answer.
Answers
Answer:
YET
Step-by-step explanation:
TO DECRYPT DKA USING THE CAESAR SHIFT CIPHER STARTING WITH 5 SHIFTS.
TO DO THIS DECRYPTION, WE'RE GOING TO LOOP THE ALPHABETS.
D = LOOPING THIS LETTER 5 TIMES, WE HAVE C - B - A - Z - Y.
SO, D IS DECRYPTED AS Y
GOING FURTHER, THE ENCRYPTION SHIFTS BY AN ADDITIONAL SPACE. THIS MEANS, IF THE FIRST "Y" WAS ENCRYPTED IN 5 SPACES TO GET D, AND AN ADDITIONAL SPACE WAS ADDED TO THE NEXT ALPHABET, IT BECOMES 6.
K IS THEN DECRYPTED AS
K = J - I - H - G - F - E
K IS DECRPYTED AS E
GOING FURTHER, THE NEXT WAS ENCRYPTED WITH AN ADDITIONAL SPACE EVEN MORE, SO, A IS DECRPYTED AS
A = Z - Y - X - W - V - U - T.
THUS, DKA IS DECRYPTED AS YET
Two gardens are being fenced in. Both gardens will require the same amount of fencing (both gardens have the same perimeter in meters). One garden is in the shape of a square and the other is in the shape of an equilateral triangle. Each side of the triangle is 1 meters longer than each side of the square.
Answers
Answer:
The side length of the square is 3 meters.
The side length of the triangle is 4 meters.
Step-by-step explanation:
This is basically a systems of equations word problem.
To solve this, we have to create two different equations. Let's assume [tex]s[/tex] is the side length of the square and [tex]t[/tex] is the side length of the triangle.
We can make the equation [tex]4s=3t[/tex], since the perimeters are the same. (A square has 4 sides, a triangle has 3 - multiplying by the side length of each will get perimeter)
We also know that the side length of the triangle is 1 meter longer than the side length of the square, so the equation here becomes [tex]t = s+1[/tex].
Now, let's substitute the second equation ([tex]t = s+1[/tex]) into the first ([tex]4s=3t[/tex]).
[tex]4s = 3(s+1)[/tex]
Apply the distributive property:
[tex]4s = 3s+3[/tex]
Subtract 3s from both sides:
[tex]s=3[/tex]
So the side length of the square is 3. We can now plug it into the equation [tex]t = s + 1[/tex] to find the side length of the triangle.
[tex]t = 3+1\\\\t=4[/tex]
Hope this helped!
Triangle RST has the vertices R(2, 3), S(-2, 1), and T(-1, 5). What are the coordinates after the two transformations: Reflection over the y-axis and rotation at 180 degrees around the origin
Answers
Answer:
R''(2,-3), S''(-2,-1) and T'(-1,-5).
Step-by-step explanation:
The given vertices of triangle are R(2, 3), S(-2, 1), and T(-1, 5).
Reflection over the y-axis:
[tex](x,y)\to (-x,y)[/tex]
Using this rule, the vertices after reflection are
[tex]R(2,3)\to R'(-2,3)[/tex]
[tex]S(-2,1)\to S'(2,1)[/tex]
[tex]T(-1,5)\to T'(1,5)[/tex]
Rotation at 180 degrees around the origin.
[tex](x,y)\to (-x,-y)[/tex]
Using this rule, the vertices after reflection are
[tex]R'(-2,3)\to R''(2,-3)[/tex]
[tex]S'(2,1)\to S''(-2,-1)[/tex]
[tex]T'(1,5)\to T''(-1,-5)[/tex]
Therefore, the coordinates of vertices after the two transformations are R''(2,-3), S''(-2,-1) and T'(-1,-5).
In a manufactory, there are two types of spoilages. It is found that 5% of spoilages are due to transformer spoilage, 8% are due to line spoilage and 3% involve both problems. (a) Are the two types of spoilages independent or not? Justify your answer. (b) What is the probability that: i- line spoilage given that there is transformer spoilage ii- Transformer spoilage but not line spoilage. iii- Transformer spoilage given that there is no line spoilage iv- Neither transformer spoilage nor there is no line spoilage v- Either transformer spoilage or there is no line spoilage
Answers
Answer:
The events are independent.Their conditional probability is equal to the probability of an event .
2) The probability that there is line spoilage given that there is transformer spoilage=0.08
- Transformer spoilage but not line spoilage=0.046
Transformer spoilage given that there is no line spoilage = 0.05
- Neither transformer spoilage nor there is no line spoilage =0.03
v- Either transformer spoilage or there is no line spoilage = 0.97
Step-by-step explanation:
Let A be an event that the spoilage is due to transformers so
P(A) = 5% = 5/100 or 0.05
Let B be an event that the spoilage is due to line so
P(B) = 8% = 8/100 or 0.08
Let C be an event that the spoilage is due to both then
P(C) = 3% = 3/100 or 0.03
1) Independence
For events to be independent their joint probability is given by
P(A) = P(A∩B)/ P (B) By Law of independence
P(A∩B)= P(A/B)P(B)
P(A∩B) = 5/100 *8/100=40/10000= 4/1000
P(A) = 5/100
P(A/B) =P(A∩B)/ P (B)
= 4/1000/8/100= 1/20
P(A)= P(A/B)
5/100 is equal to 1/20
The events are independent.Their conditional probability is equal to the probability of an event
2) The probability that there is line spoilage given that there is transformer spoilage
P(B/A)= P(A∩B)/ P (A) = 4/1000/5/100= 4/50= 2/25=0.08
Which is again equal to probability of event B.
- Transformer spoilage but not line spoilage
P(A∩1-B)= 5/100*92/100= 460/10000=0.046
Transformer spoilage given that there is no line spoilage
P(A/1-B) =P(A∩1-B)/ P (1-B)
= 5/100*92/100/92/100= 5/100 = 0.05
- Neither transformer spoilage nor there is no line spoilage
1-P(A) +P(1-B)= 1-(5/100+92/100)= 3/100= 0.03
v- Either transformer spoilage or there is no line spoilage
P(A)+P(1-B)= 5/100+92/100= 97/100= 0.97
What's ∣x−2∣=∣4+x∣????
Answers
Answer:
in the chapter 7 in class 9 Ex 7.3
one time - and second time +
Step-by-step explanation:
x-2=4+x
1) x-2=-(4+x)
x-2=-4-x
x+x=-4+2
2x=-2
x=-2/2
x=-1
2) x-2=4+x
=0
Definition: One of your responsibilities, obligations, or debts is called
Answers
Answer:
My answer is.
Paying of taxes.
Serving the nation with all our might and strength
The sum of two numbers is negative twenty-three. One number is seven less than the other. Find the numbers.
Answers
Answer:
first number −8 second number −15
Step-by-step explanation:
n+n−7=−23
Combine like terms.
2n−7=−23
Add 7 to each side and simplify.
2n=−16
Divide each side by two and simplify.
n=−8
Now solve for each number.
n−8−=−8 1st number
n −7 2nd number
-8−7
-15
Step 6. Check. Is −15 seven less than −8?
−8−7−=-15
−15=−15✓
Is their sum −23?
−8+(−15)=−23
−23=−23✓
Step 7. Answer the question.
The numbers are −8 and −15.
The numbers are −8 and −15.
It is given that a number is 7 less than another number and the sum of both numbers is -23.
We have to find the value of both of the numbers.
What is algebra ?
Algebra is the branch that deals with various symbols and the arithmetic operations such as multiplication , division , etc.
As per the question ;
One number is seven less than the other.
Let's assume 1st number is x.
The 2nd number will be x - 7.
Given ;
Sum of both numbers = -23
i.e.,
x + (x −7) = −23
2x−7 = −23
2x = -23 + 7
2x = −16
x = −8
So ;
The numbers will be ;
1st number = −8
and
2nd number = x − 7
= - 8 - 7
= -15
Thus , the numbers are −8 and −15.
To learn more about algebra click here ;
brainly.com/question/26479183
#SPJ2
Question 5 A ladder leans against the side of a house. The angle of elevation of the ladder is 65 degrees when the bottom of the ladder is 16 ft. from the side of the house. Find the length of the ladder. Round your answer to the nearest tenth.
Answers
Answer: 37.9 ft
Step-by-step explanation:
concept to know: trigonometric relation (sine, cosine, tangent)
In this case, we use cosine (adjacent/hypotenuse)
cos (65)=16/x
16/ cos(65)=x
x=37.9 ft (rounded)
Solve x^4-8x^2-9=0
Pls help
Answers
Answer:
Step-by-step explanation: x can be 3, -3, i, or -i.
Explanation:
If you can't find the factoring by looking at this, simplify the equation.
let
x
2
=
y
to make things easier to see
Now we have
y
2
−
8
y
−
9
=
0
See it now?
We can factor into
(
y
−
9
)
(
y
+
1
)
Now substitute back in
x
2
for
y
.
(
x
2
−
9
)
(
x
2
+
1
)
Since
(
x
2
−
9
)
is a difference of two squares,
(
x
−
3
)
(
x
+
3
)
Now we have
(
x
−
3
)
(
x
+
3
)
(
x
2
+
1
)
x can be 3, -3 for the first two parts
x
2
+
1
=
0
can become
x
2
=
−
1
Taking the positive and negative root means
x
=
±
√
−
1
Thus
x
=
±
i
in addition to 3 and -3.
Will mark brainliest, worth 60 points
Answers
22 is b
23 is a
Answer:
21 is option 3
22 is option 3
23 is option 1
Step-by-step explanation:
i need help on this please im really confused
Answers
Answer:
Step-by-step explanation:
Hello, you need to divide the two polynomials.
[tex]\boxed{2x^2}(x+1)=2x^3+2x^2\\\\2x^3+3x-2x^3-2x^2=-2x^2+3x\\\\\boxed{-2x}(x+1)=-2x^2-2x\\\\-2x^2+3x+2x^2+2x=5x\\\\\text{So, we can write that}\\\\\Large \boxed{\sf \bf \dfrac{2x^3+3x}{x+1}=2x^2-2x+5+\dfrac{-5}{x+1}}[/tex]
B=-2
G(x)=-5
H(x)=x+1
Thanks
Sampling every 100th invoice would be an example of:_______a. Randomization.b. Proxemics.c. Stratification.d. JRP.e. Observation.
Answers
Answer: C. Stratification
Step-by-step explanation: There are diverse samping techniques employed for statistical purposes depending on the tipe and nature of data available or other factors. When a data population is sampled in sects such that the entire data is divided into a equals groups at a fixed intervals based on a certain criteria, it is called stratified sampling. Here, data is divided into strata, with each stratum containing a fixed amount of samples with each partition taking place at regular interval. In the scenario stratification process is employed by sampling at a fixed and regular interval, however, the random nature of the data is not violated.
compleate the sentance 80000 is 1/10 of
Answers
Answer:
your answer would be 8000, i hope this helps.
The complete sentence is that [tex]80000[/tex] is [tex]\frac{1}{10}[/tex] of [tex]\boldsymbol{ 800000}[/tex]
FractionA fraction is a piece of another or, more broadly, a set of equal pieces. In everyday English, a fraction refers to the number of portions of a particular size, such as half, eighths, and thirds.
[tex]\boldsymbol{80000=\frac{1}{10}\times 800000}[/tex]
So, [tex]80000[/tex] is [tex]\frac{1}{10}[/tex] of [tex]\boldsymbol{ 800000}[/tex]
Here, of denotes sign of multiplication.
Find out more information about fraction here:
https://brainly.com/question/10354322?referrer=searchResults
Find an equation of the circle that satisfies the given conditions. Endpoints of a diameter are P(−2, 1) and Q(8, 9)
Answers
Answer:
Equation of the circle (x-3)²+(y-5)²=(6.4)²
x² -6x +9 +y² -10y +25 = 40.96
Step-by-step explanation:
Step(i):-
Given endpoints of diameter P(−2, 1) and Q(8, 9)
Centre of circle = midpoint of diameter
Centre = [tex](\frac{-2+8}{2} ,\frac{1+9}{2} )[/tex]
Centre (h, k) = (3 , 5)
Step(ii):-
The distance of two end points
PQ = [tex]\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^{2} }[/tex]
[tex]PQ= \sqrt{(8+2 )^{2} +(8 )^{2} }[/tex]
PQ = √164 = 12.8
Diameter d = 2r
radius r = d/2
Radius r = 6.4
Final answer:-
Equation of the circle
(x-h)²+(y-k)² = r²
(x-3)²+(y-5)²=(6.4)²
x² -6x +9 +y² -10y +25 = 40.96
x² -6x +y² -10y = 40.96-34
x² -6x +y² -10y -7= 0
simplify the equation 5x + 4 = -16
Answers
Answer:
-4
Step-by-step explanation:
5x+4=-16: minus 4 from both sides
5x=-20: Divide by 5 to solve for x
x=-4
PLEASE HELP ME :(( i tried 12 as the answer and it’s wrong
Answers
I think its 1/6
I'm not sure tho
u take the bottom and subtract it by the top then multiply
Answer:
I think its 1/6
You will end up taking the bottom number and subtract it by the top number then multiply to get your final
Step-by-step explanation:
in which number does the digit 7 have a value that is 10 times as great as the digit 7 in the number 0.975
a. 676 9
b. 7.99
c. 0.73
d. 8.457
Answers
The answer is 0.73 because in 0.975 the value of digit 7 is 7/100 ,10 times of 7/100 is 7/10 and the value of 7 in 0.73 is 7/10 ;.tenth value.
The value of each digit in a number is known as the place value. The number is 0.73. The correct option is C.
What is the place value of a digit in a number?The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.
Identification of the place value of a digit in a number:
The place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths and so onThe tens mean multiply by 10The tenth means the tenth part of that digit which is that digit divided by 10The value of digit 7 in the number 0.975 is hundredth. Therefore, the digit 7 in the number 0.975 is equal to 7/100.
Now, if the number is 10 times as great as digit 7 in 0.975. Therefore,
7/100 x 10 = 7/10 = 0.7
Thus, the number in which digit 7 have a value that is 10 times as great as the digit 7 in the number 0.975 is the number that is at the first place after the decimal.
Hence, the number is 0.73.
Learn more about the Place Value here:
https://brainly.com/question/27734142
#SPJ2
This is rlly easy but Im to lazy to do it- I mark brainliest.
Answers
Answers:
A. 6 Large taxis = 42 seats 9 Small taxis = 36 seats = 78 seats in total
B. 6 Large taxis = $498 + 9 Small taxis = $450 498+450= $948
C. 5 Large taxis and 10 Small taxis
Step-by-step explanation:
A. 6 Large taxis = 42 seats 9 Small taxis = 36 seats = 78 seats in total
If I did 8 small taxis the total number of seats would be 74, so I did one small taxi more to make it fair. There would be seats for everyone but 3 seats extra
B. 6 Large taxis = $498 + 9 Small taxis = $450 498+450=948
C. 5 Large taxis and 10 Small taxis
While the more small taxis there are, the more cheaper it is for Max but the less seats there would be for 75 people, So I did 1 more small taxi and 1 less large taxi.
The total number of seats now is 75 seats which is perfect amount for 75 people
So the total cheaper cost would $915 while still maintaining a fair amount of seats which is 75
A baseball player haf 4 hits in 8 games. At this rate, how many hits will the baseball player have in the next 28 games?
Answers
Answer:
We can solve this using ratio and proportion. Let x be the number of hits the baseball player will have in the next 28 games.
4 : 8 = x : 28
(4)(28) = (x)(8)
112 = 8x
112/8 = 8x/8
14 = x
Step-by-step explanation:
Answer:
14 hits
Step-by-step explanation:
We can use a ratio to solve
4hits x hits
------------ = -------------
8 games 28 games
Using cross products
4 * 28 = 8x
Divide each side by 8
112/8 = x
14 = x
14 hits
Which of the following is one of the specific perspectives of organizational behavior? a. People as financial expenditures b. People as technology users c. People as task environments d. People as resources e. People as consumers
Answers
Answer:
d. People as resources
Step-by-step explanation:
organisational behavior is the study of human behavior in an organization, the interface between human behavior and the organization, and the organization itself. It studies layers of organisational behavior in the level of individual players in an organisation, work group of individual players in an organization, and the nature of interaction between organizations on the larger scale. One of the perspective of study of organizational behavior is to study people as resources.
The mass of Parcel A was 0.7kg. Parcel B was heavier than Parcel A. Parcel C had the same mass as Parcel B. The total mass of the three parcels was 2.5kg. What was the mass of parcel C?
Answers
The mass of parcel B is 1.50 kg
Hope it helps
7. Classify Z1 and 22 using all relationships that apply. ******Could have more than 1 answer****** Adjacent Vertical Complementary Suplementary Linear Pair
Answers
Answer:
Option (2)
Step-by-step explanation:
From the picture attached,
Angle 1 and angle 2 are the angles made between two lines intersecting each other at a point and a third line is perpendicular to one of them.
Therefore, both the angles are equal in measure.
Rest all the options are not applicable to show the relation between these angles.
Option (2) will be the correct option.
Bob runs four laps. The average speed for the first lap is 12 km/h, the average speed for the second lap is 10km/h, the average speed for the third lap is 8km/h and the average speed for the last lap is 6km/h. What is average speed for the four laps
Answers
Answer:
The average speed for the four laps is 9 km/h.
Step-by-step explanation:
The average speed of the four laps can be calculated as follows:
[tex] \overline{v_{T}} = \frac{\overline{v_{1}} + \overline{v_{2}} + \overline{v_{3}} + \overline{v_{4}}}{4} [/tex]
Where:
[tex]\overline{v_{1}}[/tex]: is the average speed for the first lap
[tex]\overline{v_{2}}[/tex]: is the average speed for the second lap
[tex]\overline{v_{3}}[/tex]: is the average speed for the third lap
[tex]\overline{v_{4}}[/tex]: is the average speed for the fourth lap
Hence, the average speed for the four laps is:
[tex] \overline{v_{T}} = \frac{12 km/h + 10 km/h + 8 km/h + 6 km/h}{4} [/tex]
[tex] \overline{v_{T}} = 9 km/h [/tex]
Therefore, the average speed for the four laps is 9 km/h.
I hope it helps you!
A survey was taken of students at Utah High school to see how many students will attend the soccer game tonight. The principal surveyed 72 students, and 50 said they were attending the game. If the School has 792 students, how many students might the principal expect to attend the soccer game tonight?
Answers
Answer:
750
Step-by-step explanation:
Graph the equation.
y= 1/8(x-6)(x+2)
Answers
Answer:
see below
Step-by-step explanation:
See the attachment.
The graph will have x-intercepts where the factors are zero, at x=6 and x=-2. The y-intercept will be the value when x=0: (1/8)(-6)(2) = -1.5.
The axis of symmetry is halfway between the zeros, so is x = (6-2)/2 = 2.
The minimum value of the function is at x=2, so is ...
y = (1/8)(2 -6)(2 +2) = 1/8(-16) = -2
Other y-values can be found by substituting other x-values in the equation and evaluating it. Rather than go to that trouble, I prefer to use a graphing calculator.
What numbers has a value of 26.48
Answers
The image of the point (-1,-8) under a translation is (0, -11). Find the coordinates of the image of the point (-4,-1) under the same translation.
Answers
Answer:
(-3,-4)
Step-by-step explanation:
● (-1,-8) => (0,-11)
Notice that to move from -1 to 0 in the x-axis we should go one unit to the right wich means adding 1.
● -1 + 1 = 0
Notice that to move from -8 to -11 in the y-axis we should go 3 units down wich means substracting 3.
● -8-3 = -11
Let's do the same for the second point.
● (-4,-1) => ?
Add 1 to -4
● -4+1 = -3
We moved 1 unit to the right by adding 1
Substract 3 from -1
● -1-3 = -4
We moved down 3 units by substracting 3
So the image of (-4,-1) is (-3,-4)
A ladder is leaning against the side of a 10 m house. If the base of the ladder is 3 m away
from the house, how long is the ladder? Please draw a diagram.
Answers
Answer: It depends on how you round but about 10.44 m.
Step-by-step explanation: