7.
A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function h=-16t^2+36t+9. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. What is the ball’s maximum height?
A. 1.13 s; 69.75 ft
B. 1.13 s; 29.25 ft
C. 2.25 s; 9 ft
D. 1.13 s; 31.5 ft
Answers
Answer:
The answer is 1.13;29.25
Step-by-step explanation:
Answer: The ball reaches its maximum height in 1.13 seconds. b) The ball's maximum height is 30.25 feet.
This sort of problem is solved easily by a graphing calculator.
a) The ball reaches its maximum height in 1.13 seconds.
b) The ball's maximum height is 30.25 feet.
_____
Since you want to know when and where the peak value of the function occurs, it is convenient to put it into vertex form.
h = -16(t² -(9/4)t) + 10
h = -16(t² -(9/4)t +(9/8)²) +10 +16(9/8)²
h = -16(t -9/8)² + 10 + 81/4
h = -16(t -9/8)² + 30 1/4
The vertex of the function is (9/8, 30 1/4) ≈ (1.13, 30.25).
h = -16t^2 + 36t + 9
At maximum height h' = 0,
h' = -32t + 36 = 0
32t = 36
t = 36/32 = 1.13 s.
Maximum height = -16(1.125)^2 + 36(1.125) + 9 = 29.25 ft
Answer is option d (1.13 s, 29.25 ft)
The answer is 1.13;29.25
Related Questions
Which expression is equal to 2 x 7 x 6?
(2 x 7) + (2 x 6)
7 x 2 x 6
(2 + 7) x (2+6)
7+2 +6
Doe-
Answers
Answer:
84
Step-by-step explanation:
Suppose the 100 people in society X all know the same 10 facts, while the 10 people in society Z specialize, with each person knowing 5 unique facts as well as 5 facts also known by the other 9 members of the society. If the standard of living is roughly equivalent to the average number of social facts known per person, which society has a higher standard of living
Answers
Answer:
29 times
Step-by-step explanation:
Given :
Society X ;
Population = 100
Number of facts known = 10
Average fact known per person = known fact / population = 10 / 100 = 0.1
Society X:
Population = 19
Common fact known by 9 = 5
Specialized fact, known by 10 = 5 * 10 = 50
Total facts = common + specialized = 55
Average fact known per person = 55 / 19 = 2.8947368 fact per person
Number of times society Z is better :
2.8947368 / 0.1 = 28.947 times
Approximately 29 times
pls help me solve pls show how you got the answer
Answers
Answer:
Step-by-step explanation:
p=8 cm
one side=8/4=2 cm
edge of black square=2/4=1/2 cm=0.5 cm
area of one square=(0.5)²=0.25 cm²
total area of two black squares=2×0.25=0.5 cm²
length of white rectangle=2/2=1 cm
width=2/4=1/2 cm=0.5 cm
area of one rectangle=1×0.5=0.5 cm²
area of two rectangles=2×0.5=1 cm²
total area=0.5+1=1.5 cm ²
Can someone pls help me with this
Answers
Answer:
C f=9
Step-by-step explanation:
isolate f on one side so you subtract 5 from both sides to get 3f=27 and then divide by 3 on each side to get f=9
Answer:
The value of F is 9
Step-by-step explanation:
3f+5=32
3f=32-5
3f=27
f=27/3
f=9
Solve each triangle. Round your answers to the nearest tenth.
Answers
Answer: The value of [tex]\angle B[/tex] is [tex]30^o[/tex], the length of BC and AC is 28 units and 25 units respectively.
Step-by-step explanation:
To calculate the value of each part of the triangle, we use:
1) Angle sum property
2) Law of sines
Starting with 1:
Calculating [tex]\angle B[/tex] by angle sum property:
[tex]\angle A+\angle B+\angle C=180^o\\\\34^o+\angle B+116^o=180^o\\\\\angle B=(180^o-116^o-34^o)=30^o[/tex]
Applying 2:
The Law of sines relates the length of the side with the sines of the angle opposite to it.
[tex]\frac{\sin 34^o}{BC}=\frac{\sin 116^o}{45}\\\\BC=\frac{\sin 34^o\times 45}{\sin 116^o}\\\\BC=28units[/tex]
Similarly,
[tex]\frac{\sin 30^o}{AC}=\frac{\sin 116^o}{45}\\\\AC=\frac{\sin 30^o\times 45}{\sin 116^o}\\\\AC=25units[/tex]
Hence, the value of [tex]\angle B[/tex] is [tex]30^o[/tex], the length of BC and AC is 28 units and 25 units respectively.
Somebody really smart!!!?
Answers
Answer:Its the last one to the left up
Step-by-step explanation:
Answer:
78.5 square feet
option b
Step-by-step explanation:
area = pi*r^2
a = 3.14*5^2
a = 3.14*25
a = 78.5
La Gioconda, de Leonardo da Vinci, es una de las pinturas mas famosas del mundo. Sus dimensiones son 77 cm de largo y 53 cm de ancho. Si un cartel publicitario tiene dicha pintura ampliada a una razon de semejanza de 5,6 ¿Cuál es el area de la reproduccion?
Answers
Answer:
mate im just here for the b coins
mate im just here for the b coins
mate im just here for the b coins
mate im just here for the b coins
mate im just here for the b coins
mate im just here for the b coins
vmate im just here for the b coins
Step-by-step explanation:
mate im just here for the b coins
mate im just here for the b coins
mate im just here for the b coins
mate im just here for the b coins
What is the value of x?
Answers
Answer:
67.5
Step-by-step explanation:
The sum of the interior angles is 540, therefore
540 = 90 + 4y
540 - 90 = 4y
450 = 4y
450 / 4 = y
112.5 = y
X and Y together equal 180, therefore
180 = x + 112.5
180 - 112.5 = x
67.5 = x
One day, a café sells 3 more than twice the number of cappuccinos as they do lattes. They sold a total of 33 cappuccinos and lattes
together.
Which equation could be used to find the number of lattes, x, sold at the café?
Answers
Answer:
x +(2x + 3) = 33
Step-by-step explanation:
two equations can be derived from the question
c = 3 + 2x equation 1
c + x = 33 equation 2
where :
c = cappuccinos
x = lattes
make c the subject of the formula in equation 2
c = 33 - x equation 3
equate 3 and 1
x +(2x + 3) = 33
-40 divided by what makes -4
Answers
Answer:
10
Step-by-step explanation:
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HELPPPPP LLAAAA SODIBEXICEC
Answers
Answer:
C)
E)
F)
D)
Step-by-step explanation:
These are all questions and answer that can be graphed, are represented on a data display. For example, the number of tomatoes on each plant can vary, and get changes through time. This is a statistical question.
Note:
Pls notify me if my answer is incorrect for the other users that will see this response. Thank you.
-kiniwih426
The area of a trapezium is 147cm of the parallel sides and 5.3cm and 3.1cm long. Find the perpendicular distance between them.
Answers
Answer:
35 cm
Step-by-step explanation:
A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs
Characteristics of a trapezoid
It has 4 vertices and edges
If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogram
Area of a trapezoid = x (sum of the lengths of the parallel sides) x height
h = 147x2 / (5.3 + 3.1) = 35cm
4, 9, 13, 18,
The common difference 'd' is
Answers
Answer:
There is no common difference
Step-by-step explanation:
4 9 13 18
diff 5 4 5
Because the difference between 9 and 13 is 4
and the difference in the other terms is 5
there is no common differeence
Which expression can be used to find 80% of 120?
80% of 120
20%
20%
20%
20%
20%
Answers
Answer:
20%
Step-by-step explanation:
Sophia drops her pencil in a cup and
notices that it only fits diagonally.
The pencil is 10 centimeters long and the
cup is 8 centimeters tall.
What is the diameter of the cup?
Answers
Answer:
5cm
Step-by-step explanation:
Since the pencil would only fit diagonally, the diameter would have to be half its length. The pencil is 10 centimeters long and 5 centimeters would be half of it.
Note:
Pls notify me if my answer is incorrect for the other users that will see this message. Thank you.
-kiniwih426
in the fist quadrant you start a 5,3 and move 2 units left and 1 unit down where would you end up?
Answers
Answer:
3,2
Step-by-step explanation:
Answer:
(3,1)
Step-by-step explanation:
If you moved two units left you would be at (3,2) the move one down you would be at (3,1)
PLEASE HELP!! Which variable is most important to the following problem?
The Top Shoppe orders 85 shirts for each of its 22 stores from a clothing
manufacturer. The manufacturer has 3000 shirts in stock. The Top Shoppe pays $20 for each shirt. How much does the Top Shoppe pay for the shirts?
A. The total cost of the shirts
B. The number of shirts the manufacturer has left after the order
C. The sizes of the shirts ordered
D. The number of shirts the Top Shoppe orders
Answers
Answer:
ok so we know that it order 85 shirts for each of its 22 stores so we can multiply 22 by 85 which is 1870. so the company order 1870 shirts and they pay 20$ for each so we can multiply 1870 by 20 which is 37400. so top shoppe pays 37400 for the shirts.
A=37400
B=I don't know what the order was so i dont know
C= also there is nothing about the size of the shirts
D=1870
so the most important variable is probity A but there could be an argument made about the importance of D.
Your Welcome
BIFFY OUT!!!
PLEASE WHAT IS THE ANSWER????
Answers
Answer:
6
Step-by-step explanation:
A = 4 cm * 3 cm/2
A = 6 cm^2
Answer:
6
Step-by-step explanation:
I need answer for number 8 please no links and the right answer thank youuu
Answers
Answer:
y = 2/5x - 4
Step-by-step explanation:
y = mx+b where m is the slope and b is the y intercept
y = 2/5x - 4
A test to detect an infection gives a positive result 98% of the time when an infection is present. It is 97% accurate when an infection is not present.
Answers
Answer:
false negatives - 2%
false positives - 3%
Step-by-step explanation:
Here is the complete question :
A test to detect an infection gives a positive result 98% of the time when an infection is present. It is 97% accurate when an infection is not present.
% of results will be false negatives, and % of results will be false positives.
False negative means a negative result which in actuality it is positive
False negative = 100% - percent of positive result
100% - 98% = 2%
False positive result means a positive result which in actuality is negative
False positive = 100% - percent of false positive
100 - 97 = 3%
Which choice is equivalent to the fraction below when x >= 2
Answers
B. [tex]2( \sqrt{x} + \sqrt{x - 2} )[/tex] ✅
Step-by-step explanation:
[tex] \frac{4}{ \sqrt{x} - \sqrt{x - 2} } \\\\ = \frac{4}{ \sqrt{x} - \sqrt{x - 2} } \times \frac{ \sqrt{x} + \sqrt{x - 2} }{ \sqrt{x} + \sqrt{x - 2} } \\ \\ = \frac{4( \sqrt{x}) + 4( \sqrt{x - 2} )}{( { \sqrt{x} )}^{2} - { (\sqrt{x - 2} })^{2} } \\ \\ [∵(a + b)(a - b) = {a}^{2} - {b}^{2} ] \\ \\ = \frac{4 \sqrt{x} + 4 \sqrt{x - 2} }{x - (x - 2)} \\ \\ = \frac{4 \sqrt{x} + 4 \sqrt{x - 2} }{x - x + 2} \\ \\ = \frac{4( \sqrt{x} + \sqrt{x - 2} ) }{ 2} \\ \\= 2( \sqrt{x} + \sqrt{x - 2} )[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
6
(
f
+
4
)
+
2
(
f
+
4
)
Answers
6(f+4) + 2(f+4)
Use the distributive property:
6f+24 + 2f + 8
Now combine like terms:
8f +32
The answer is 8f + 32
Answer:
8 f + 32
Step-by-step explanation:
6 ( f + 4 ) + 2 ( f + 4 )
Distribute
6 × f + 6 × 4 + 2 × f + 2 × 8
6 f + 24 + 2f + 8
Collect like terms
6 f + 2 f + 24 + 8
Add the numbers
8 f + 32
a small plane lands at a point 324 miles east and 92 miles north of the point at which it took off. Find the distance the plane flew and the direction
Answers
Answer: 336.80 miles, [tex]15.85^{\circ}[/tex] North of east
Step-by-step explanation:
Given
Plane lands at a point 324 miles east and 92 miles north
Distance is given by using Pythagoras theorem
[tex]\Rightarrow d=\sqrt{324^2+92^2}\\\\\Rightarrow d=\sqrt{113,440}\\\\\Rightarrow d=336.80\ \text{miles}[/tex]
Direction is given by using figure i.e.
[tex]\Rightarrow \tan \theta=\dfrac{92}{324}\\\\\Rightarrow \tan \theta=0.2839\\\\\Rightarrow \theta=15.85^{\circ}[/tex]
Direction is [tex]15.85^{\circ}[/tex] North of east
An automobile factory wants to produce a total of 210 cars during three shifts. If the first shift produces two-fifths of the cars and the second shift produce one-third of the cars, what fraction of the total cars does the third shift need to produce?
Answers
Answer:
Step-by-step explanation:
answer below
Answer: 4/15
Step-by-step explanation: Total Cars to be produced in three Shifts = 210
Fraction of total cars to be produced in First Shift = 2/5
Fraction of total cars to be produced in second Shift = 1/3
Summation of all the fractions of total cars to be produced in all the three shifts should be equal to 1
Hence, fraction of total cars to be produced in third Shift = 1- (2/5) - (1/3)
= ( 15 - 6 - 5)/15 ( taking LCM of 5&3)
= 4/15
Solve for x. In the equation 9x +1/3= x-13
Answers
Answer:
Step-by-step explanation:
9x+[tex]\frac{1}{3}[/tex]=x-13
9x*3+1/3=x-13
27x+1/3=x-13
27x+1=3(x-13)
27x+1=3x-39
27x-3x=-39-1
24x=-40
x=-5/3
x=-5/3
Answer:
x = - [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
Given
9x + [tex]\frac{1}{3}[/tex] = x - 13 ( multiply through by 3 to clear the fraction )
27x + 1 = 3x - 39 ( subtract 3x from both sides )
24x + 1 = - 39 ( subtract 1 from both sides )
24x = - 40 ( divide both sides by 24 )
x = [tex]\frac{-40}{24}[/tex] = - [tex]\frac{5}{3}[/tex]
The numbers of blue and green beads Emma uses to make five different pieces of jewelry are recorded below. Which of the following equations relate to the number of green beads, G, to the number of blue beads, b?
Answers
Answer:
a
Step-by-step explanation:
follow the proportions
Answer:
A
Step-by-step explanation:
3/17=y/7 round to the nearest tenth
Answers
Answer:
y=1.24
Step-by-step explanation:
cross multiply 21=17y
divide, y=21/17
Addison earned a score of 510 on Exam A that had a mean of 550 and a standard
deviation of 40. She is about to take Exam B that has a mean of 26 and a standard
deviation of 5. How well must Addison score on Exam B in order to do equivalently
well as she did on Exam A? Assume that scores on each exam are normally
distributed.
Answers
Answer:
21
Step-by-step explanation:
Algebraic Method: Find Z-Score for Exam A
[tex]z=\frac{x_A-μ_A}{σ_A}[/tex]
[tex]z=\frac{510-550}{40}[/tex]
[tex]z=\frac{-40}{40}[/tex]
[tex]z=-1[/tex]
Addison scored 1 standard deviation below the mean.
Plug Z into formula for Exam B:
[tex]-1\frac{x_B-26}{5}[/tex]
[tex]-5=x_B-26[/tex]
[tex]21=x_B[/tex]
Addison would have to score 21 on Exam B
I really need help if any one knows geometry please try and help and answer these few questions
Thank you!
Answers
Answer:
x=12, 11
Help meeeeeeeeeeeeeee please
Answers
Answer:
[tex]6^{-5}[/tex]
Step-by-step explanation:
lmk if its right :)