Answer:
31). Maximum height = 100 feet
32). Time to hit the ground = 5 seconds
Step-by-step explanation:
31). Equation modeling the height 'h' of the ball is,
h = -16t² + 80t
For the maximum height of the ball,
Find the derivative of 'h' with respect to time 't' and equate it to zero.
[tex]\frac{dh}{dt}=\frac{d}{dt}(-16t^2+80t)[/tex]
[tex]=-32t+80[/tex]
[tex]\frac{dh}{dt}=0[/tex]
[tex]-32t+80=0[/tex]
[tex]t=\frac{80}{32}[/tex]
[tex]t=2.5[/tex] seconds
That means after 2.5 seconds ball will reach the maximum height.
By substituting [tex]t=2.5[/tex] in the equation,
[tex]h=-16(2.5)^2+80(2.5)[/tex]
[tex]h=100[/tex] feet
Therefore, maximum height achieved by the ball is 100 feet.
32). If the ball follows the parabolic path,
Time taken by the ball to reach the maximum height = Time taken by the ball to come back to the ground from the maximum height.
Time taken by the ball to hit the ground = 2(2.5) = 5 seconds
Which expression represents a rational number?
Answer:
C
Step-by-step explanation:
2/7+sqrt121 is just 2/7+11.
This is rational.
Answer:
2/7 + sqrt 121
Step-by-step explanation:
the square root of 121 is a whole number - 11, which is rational and makes the equation rational
What is the surface area of a cereal box with a height of 10 inches, a width of 4 ½ inches, and a length of 7 inches?
Answer:
Surface area of a box = 293 inches ²
Step-by-step explanation:
Surface area of a box = 2(lw + lh + hw)
Where,
l = length = 7 inches
w =width = 4 1/2 inches
h = height = 10 inches
Surface area of a box = 2(lw + lh + hw)
= 2(7*4.5 + 7*10 + 10*4.5)
= 2(31.5 + 70 + 45)
= 2(146.5)
= 293 inches ²
Surface area of a box = 293 inches ²
The football team has a total of 50 jerseys. There are 20 medium-sized jerseys. What percent of the jerseys are medium-sized jerseys?
Answer:40%
Step-by-step explanation:20 divided by 50 is 0.4 then multiply that by 100 and get 40
Answer:
Well the equation for this would 50*.20 = ...
The first half of the answer would be 10.
BUT!
You need to subtract 10 from 50.
50-10 = 40!
There you go.
Step-by-step explanation:
Please help I'm failing
Answer:
Unit rate!
Step-by-step explanation:
A unit rate is a rate that has a denominator of 1!
~ LadyBrain
I will give brainliest! What is the length of the segment that joins the points (-5, 4) and (6, -3)?
Answer:
Your answer would be √170, or square root of 170.
Which equation represents the word sentence shown below?
The quotient of a number band 0.3 equals negative 10.
Answer:
where are the equations?
Step-by-step explanation:
tell me and I will edit my answer to answer ur question
Answer:
Step-by-step explanation:
A class has 12 boys and 16 girls. The teacher needs to pick two volunteers. What is the probability that she chooses a girl given that she chose a boy first? All answers should be given as a fraction in simplest form!
Any help is appreciated!
Answer:
16/27
Step-by-step explanation:
12 boys and 16 girls
She already chose a boy so now there are (11+16) = 27 possible outcomes
There are 16 favorable outcomes(girl)
so the fraction is 16/27
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Nathan buys a blender with a listed price of $65. Nathan uses a coupon that provides 20% off. What is the total final price Nathan pays?
Answer:
$52
Step-by-step explanation:
Given data
Price of blender= $65
Coupon = 20%
Let us find the amount of the coupon
=20/100*65
=0.2*65
=$13
Hence the amount of the coupon is $13
The total price Nathan pays is
=65-13
=$52
solve this please i just need the top answer thx lol :)
Answer: x+(x+1)+(x+2) = 63
This is because x is the smallest number, so x+1 is the next value up, and x+2 is the value after that. The parenthesis are optional. I used them to separate out the three expressions. We can simplify the left side to 3x+3, which means that equation in bold is the same as 3x+3 = 63. So there are few ways we can form the equation.
You have the correct answers for the other boxes:
20+21+22 = 63
Nice work.
20, 21, 22
Step-by-step explanation:
Let x = the smallest integer of the three consecutive ones
(x + 1) = the next consecutive integer after x
(x + 2) = the next consecutive integer after (x + 1)
The sum of these three should add up to 63 so
x + (x + 1) + (x + 2) = 63
This simplifies to
3x + 3 = 63
Solving for x, we get
x = 20
Therefore, the three consecutive integers whose sum add up to 63 are 20, 21 and 22.
2√3+4√18 in simplest radical form
Answer:
[tex]2\sqrt{3} + 12\sqrt{2}[/tex]
Step-by-step explanation:
Simplify each term.
Find the missing length
Answer:
Last one
Step-by-step explanation:
*quickest correct answer gets brainlyest*
Write in standard form (the number) 6.16 x 10^4
61600
6160
6160.000
6160000
Answer:
[tex]61600[/tex]
Step-by-step explanation:
[tex]10^4\\\\10*10*10*10\\\\100*100\\\\10000\\\\\\10000*6.16\\\\61600[/tex]
Add my Discord so we can be besties: BeepBoop #0214 12-14 only please!!
Answer: okay sir
Step-by-step explanation:
please check screenshot
Answer:
Domain: {-2, -1, 0, 1, 2, 3}
Range: {-5, -3, -1, 1, 3, 5}
Step-by-step explanation:
The domain is the set containing all the x-coordinates, and the range is the set containing all the y-coordinates.
Domain: {-2, -1, 0, 1, 2, 3}
Range: {-5, -3, -1, 1, 3, 5}
How does the number 32.4 change when you multiply it by 10 of the power of 2
Which function shown below has the greater rate of change? Explain. (Be sure to include the
rate of change for each in your explanation).
Answer:
Function 1 has a greater rate of change.
Step-by-step explanation:
Function 1 has a rate of change of 3 because 3x is the slope of the line.
Function 2 has a rate of change of 1.5, because when you use rise/run, you get a slope of 3/2.
Function 3 has a rate of change of 2. You use the formula (y2 - y1) / (x2 - x1) to find the slope. I used (0,0) and (1,2). When you plug in 2 for y2, 1 for x2, and 0 for y1 and 0 for x1, you get (2-0) / (1-0) which is 2/1. That equals a slope of 2.
I need the answer pls
Answer:
s
Step-by-step explanation:
sdd
Beverly has started her own company selling posters. Her upfront cost to start the business was $660. She sells each poster for $12. When will Beverly break free? (When will her profit be 0)
Answer:
she needs to sell 55 posters
Step-by-step explanation:
660/12
Luther bought a juice box shaped like a rectangular prism. The juice box is 4 inches tall, 3 inches wide, and 1.5 inches deep. Each cubic inch of the juice box holds 0.55 fluid ounces of strawberry-kiwi punch.
How many fluid ounces of punch does the juice box hold?
solve the following :
7+2x/3= 5
and
3x+4/2= 9.5
Answer:
x= 4
x= 5
Step-by-step explanation:
7 + 2(4)/ 3 = 5
7 + 2(4)/3 = 5
7+8/3 = 5
15/3 = 5
3(5) +4/ 2 = 9.5
15+4/2 = 9.5
19/2 = 9.5
will mark brainliest
The measure of angle P is ___ degrees, rounded to the nearest hundredth.
Answer:
53°
Step-by-step explanation:
Use sine cosine or tangent (SOHCAHTOA). For this example I'll use sine.
For sine you'd use the equation sin(x)=[tex]\frac{opp}{hyp}[/tex] where x is the missing angle measure
the opposite side from x is 45 cm and the hypotenuse is 53 cm
sin(x)=[tex]\frac{45}{53}[/tex]
then rearrange the equation like this x=[tex]sin^{-1}[/tex]([tex]\frac{45}{53}[/tex])
most graphing calculators should solve it from there if you plug it in, hope this helps! :)
plz help its timed!! will give brainliest
x = 7
Hope this helps!-FinnySolve the equation for x.
Answer:
-110
Step-by-step explanation:
[tex]-\frac{x}{10} =11[/tex]
-x=11×10=110
x=-110
if m1=35° and m2=75°, what is m3?
Answer:
m3 should be 70°
all internal angles of a triangle add up to 180
180-35-75 = 70
Answer:
All angles of a triangle add up to 180°.
there m1+m2+m3=180°
35+75+m3=180
110°+m3=180°
m3=180°-110°
m3=70°
Answer is A.
The theater sells two types of tickets: adult tickets for $17 and child tickets for $14.
Last night, the theater sold a total of 238 tickets for a total of $3554. How many adult tickets did the theater sell last night?
Answer:
74 adult tickets
Step-by-step explanation:
Create a system of equations where a is the number of adult tickets and c is the number of child tickets:
a + c = 238
17a + 14c = 3554
Solve by elimination by multiplying the top equation by -14:
-14a - 14c = -3332
17a + 14c = 3554
Add these together, and solve for a:
3a = 222
a = 74
So, 74 adult tickets were sold last night
Plz help me:)!!!✌︎('ω')✌︎
WILL GIVE BRAINLIEST!!
A bookstore costs $90 a day to keep open, and it spends $12 for each book that it sells. If each book sells for $18, what is the break-even point for this bookstore?
A. n = 12
B. n = 18
C. n = 15
D. n = 16
Answer:
Total Cost in a day is . Profit function is . And the revenue function is . In a day, bookstore must sell at least 15 books, because of 6n-90=0, in order to make profit.
Step-by-step explanation:
-90
The break-even point for this bookstore is 15, i.e. correct answer is,
C. n = 15.
Here, we have,
given that,
A bookstore costs $90 a day to keep open,
and it spends $12 for each book that it sells.
If each book sells for $18,
now, we know that,
Breakeven quantity = fixed cost / price – variable cost per unit
now, we have,
$90 / (18 - 12)
=$90 / $6
= 15
so, n = 15
Hence, The break-even point for this bookstore is 15, i.e. correct answer is, C. n = 15.
To learn more about break even, please check: brainly.com/question/17960037
#SPJ7
Plz solve this question
Answer:
first one
Step-by-step explanation:
and is this a test?
PLZ IN NEED OF HELP!!
does anyone know this?
Answer:
Hello! answer: a = 24
Step-by-step explanation:
30 × 30 = 900 18 × 18 = 324 900 - 324 = 576 24 × 24 = 576 therefore a = 24 Hope that helps!