Answer:
64 feet
Step-by-step explanation:
Complete question
A ball is thrown straight up with initial velocity of 64 ft./s. The height of the ball t seconds after it is thrown is given by the formula s(t)=64t-16t^2. Find the maximum height reached by the ball.
At maximum height, the velocity of the ball is zero, i.e ds/dt =0
ds/dt = 64 - 32t
64 - 32t = 0
32t = 64
t = 64/32
t = 2secs
Substitute t = 2secs into the given equation;
Recall that s(t)=64t-16t^2
s(2) = 64(2) - 16(2)^2
s(2) = 128 - 16(4)
s(2) = 128 - 64
s(2) = 64 ft
Hence the maximum height reached by the ball is 64 feet
hey guys pls help asap also pls explain
Answer:
5
Step-by-step explanation:
we have 2 white 2 black, when you add 2 beads you have 3 white 3 black, the same ratio as before. to get 1/3 black you need 6 white 3 black so you need 3 more beads. we will have moved 5 over in total.
What is the expression in repeated multiplication form of (-8)^3 • (-8)^4
Answer:
(-8)x(-8)x(-8)x(-8)x(-8)x(-8)x(-8)
Step-by-step explanation:
Jake's parents want $100,000 at the end of 40 years. They put their money in an account that yields 4% per year compounded continuously. How much money should jakes parents deposit?
Answer:
$ 20,189.65
Step-by-step explanation:
Jake's parents want $100,000 at the end of 40 years. They put their money in an account that yields 4% per year compounded continuously. How much money should jakes parents deposit?
From the above question, we are to find the Principal. The formula for Principal compounded continuously =
P = A / e^rt
Where:
A = Amount after time t = $100,000
r = Interest rate = 4%
t = Time in years = 40 years
First, convert R percent to r a decimal
r = R/100
r = 4%/100
r = 0.04 per year,
Then, solve our equation for P
P = A / e^rt
P = 100,000.00 / e ^(0.04×40)
P = $ 20,189.65
Therefore, the amount Jake's parents should invest = $ 20,189.65
Select all values that would make the following inequality true: x ≥ -10
-10
-14
-2
0
Answer: -10; -2; 0
Step-by-step explanation:
≥ means greater or equal than.
-10 is equal -10, true.
-14 is less than -10, so false.
-2 is greater than -10, true
0 is greater than -10, true
so the answer is -10, -2 and 0 can make this inequality true.
The price of an object with 13% value added tax is 5763 . what will be the value added tax amount ? find it
Answer:
100. ~113
x ~ 5763(assume that X is price without VAT)
100×5763=113×x
X. =(5763×100)/113. (5763/113=51)
X= 51×100
X =5100
VAT=5763-5100
=RS.663
Given:
Interest rate,
13%Object price,
5763The value added tax will be:
→ [tex]\frac{13 \ percent}{100+13} = \frac{VAT}{5763}[/tex]
→ [tex]VAT = 5763\times \frac{0.13}{1.13}[/tex]
[tex]= 663[/tex]
Thus the approach above is right.
Learn more about tax amount here:
https://brainly.com/question/22910752
PLEASE HELP!!! DISTRIBUTIVE PROPERTY
Craig collects stamps he collected a total of 150 stamps if 88% of the stamps be collected were foreign how many stamps did he collect
Answer:
18 Non Foreign Stamps
Step-by-step explanation:
Given data
Total stamps= 150
Foreign Stamps= 88% of the total stamps
Hence the number of foreign stamps is
=88/100*150
=0.88*150
=132 Foreign Stamps
The number of stamps that is Non Foreign Stamps is
=150-132
=18 Non Foreign Stamps
Help me plz and I’ll give brainliest and it’s due in 20 mins
Answer:
2. c
3.
a. no
b. yes
c. yes
d. no
e. yes
I think this is right
4.
Part A;
5.4-3.1=D
Part B;
4.9+3.1=t
Part C:
1. 2.3
2. 8
I hope this helps!!!
Step-by-step explanation:
NEED HELP ASAP!! Please show steps and answer correctly! :)
One car traveled 240 miles and drove 20 mph hour faster than a second car drove 160 miles. If the cars were traveling for the same time, how fast was the first car traveling?
Answer:
190
Step-by-step explanation:
What is the surface area of the rectangular prism?
36 cm²
108 cm²
72 cm ²
54 cm²
Answer:
SA = 108cm² (the 2nd option)
Step-by-step explanation:
h = 4
l = 3
w = 6
SA = 2(lw + lh + wh)
SA = 2((3)(6) + (3)(4) + (6)(4))
SA = 2(18 + 12 + 24)
SA = 2(54)
SA = 108cm²
The surface area of the rectangular prism is 108cm².
Calculation of the surface area of the rectangular prism:Since
height = 4
length = 3
width = 6
So, here the surface area is
SA = 2(lw + lh + wh)
= 2((3)(6) + (3)(4) + (6)(4))
= 2(18 + 12 + 24)
= 2(54)
= 108cm²
hence, The surface area of the rectangular prism is 108cm².
Learn more about area here: https://brainly.com/question/24591736
Shalini blusex batting scores were 13144 155 142 167 172 what was his score
What is 1/8 x 5/6 x 4/5 you will need paper.
Answer:
This would equal [tex]\frac{1}{12}[/tex]
Step-by-step explanation:
We do this by just multiplying straight across
Numerators go first
[tex]1*5*4[/tex]
This equals 20
Now the denominators
This would be done by
[tex]8*6*5[/tex]
This equals 240
now all together this is
[tex]\frac{20}{240}[/tex]
Simplify
[tex]\frac{1}{12}[/tex]
Figure ZANY is a square. If ZY = 7x - 3 and ZA = 6x, what is the value of x
HELP PLEASE HELP PLS HELP THIS WORK NEED TO BE FINISH HELP ME WITH IT WILL BE REWARD BRAINLIEST AND WILL GIVE 100 PIONT FOR FREE!
Answer:
The simplified expression is 498,400÷7. The value is 71,200.
Step-by-step explanation:
712×25×14×2= 498,400.
498,400÷7 becomes our expression. And that answer is 71,200. I hope this helps
Answer:
Step-by-step explanation:
substitute
a + 2p = 4
x − 2y = 6
What is the area of triangle ABC
Answer:
A = 24 cm²
Step-by-step explanation:
The area (A) of Δ ABC is calculated as
A = [tex]\frac{1}{2}[/tex] × AB × AC
Calculate AC using Pythagoras' identity
AC² + AB² = BC²
AC² + 6² = 10²
AC² + 36 = 100 ( subtract 36 from both sides )
AC² = 64 ( take the square root of both sides )
AC = [tex]\sqrt{64}[/tex] = 8
Then
A = 0.5 × 6 × 8 = 24 cm²
Estimate the quotient.6.2 ÷ 8
Answer:
0.775
Step-by-step explanation:
is 5he answer
Step by step
4
The formula for the volume of a sphere is
V= 3 #rº. What is the formula solved for r?
Answer:
B. r = 3√(3V - 4π)
Step-by-step explanation:
volume of a sphere,V = 4/3πr³
Solve for r
V = 4/3πr³
V - 4/3π = r³
r³ = V - 4π/3
Cross product
r³ = V*3 - 4π
r³ = 3V - 4π
Find the cube root of both sides
3√r³ = 3√(3V - 4π)
r = 3√(3V - 4π)
Write an equation in slope intercept form from two points (5,5) and (3,7)
Answer:
y = -x + 10
Step-by-step explanation:
find the slope (-1) and y intercept (10)
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
Answer:
Step-by-step explanation:
(5,5) and (3,7)
so
(5-7)/(5-3)= -2/2=-1
so the slope is -1
y=-1x+10
Gracie and Mark are having a
contest to see who can sell the most
cupcakes. For every 3 that Mark
sold, Gracie sold 4. If Gracie sold 4
more than Mark, how many total
cupcakes were sold?
Answer:
Mark sold 12 cupcakes, meaning Gracie sold 16.
4 threes, and 4 fours.
Mark Gracie
O O O O O O O
O O O O O O O
O O O O O O O
O O O O O O O
Answer:
Step-by-step explanation:
m/g=3/4
m=3g/4, now we can express m in terms of g
g=4+m, using m found above in this equation gives you
g=4+(3g)/4
4g=16+3g
g=16, since m=3g/4
m=3(16)/4
m=48/4
m=12
So total cupcakes sold is 12+16=38.
38 cupcakes were sold.
4. Kevin can clean a large aquarium tank in about 9 hours. When Kevin and Lara
work together, they can clean the tank in 6 hours. Write a rational equation that
could be used to determine how long it would take Lara to clean the tank if she
works by herself. You do not have to solve the equation. You may solve the
equation for extra credit.
Answer:
Part A
The rational equation that can be used to determine how long it would take Lara to clean the tank alone is; 6/9 + 6/x = 1
Part B
It would take Lara 18 hours to clean the tank if she works by herself
Step-by-step explanation:
Part A
The time it takes Kevin to clean an aquarium tank alone = 9 hours
The time it takes Kevin and Lara to clean the tank together = 6 hours
Let '1/x' represent Lara's cleaning rate, we have;
The time it would take Lara to clean 1 tank alone = 1/(1/x) = x
Kevin's cleaning rate, y = 1/9 tank per hour
The number of tanks, z = tank
The total time it takes both of them to clean the tank, t = 6 hours
Therefore, we get;
t × y + t × 1/x = z
When t = 6, y = 1/9, and z = 1, we get;
6 × (1/9) + 6·(1/x) = 1
Therefore, the rational equation that can be used to determine how long it would take Lara to clean the tank if she work by herself, '1/x', is given as follows;
6/9 + 6·(1/x) = 1
6/9 + 6/x = 1
Part B
Solving the rational equation gives;
1/x = (1 - 6/9)/6 = 1/18
∴ 1/x = 1/18)
∴ x = 18
The time it would take Lara to clean the tank if she worked by herself, x = 18 hours
Car survey in a survey of 1200 people who owned a certain type of car,600 said they would buy that type of car again.What percent of people surveyed were satisfied with the car?
Answer:
50 percent
Step-by-step explanation:
Total number of people in this car survey = 1200
Total number of people who they would still buy same car type = 600 (these are the satisfied people)
The percentage = 600/1200 x 100
= 0.5 x 100
= 50 percent
So the percentage of satisfied people who would buy this type of car again is 50%
the answer isn't 8-2root3 btw
Answer:
1.41226231144
Step-by-step explanation:
Answer:
Step-by-step explanation:
16cos(30)-20sin(60) -8sin(90)
look at the pattern of the numerators Millie, you can remember all of the sin and cos functions at the special angles now. :)
sin(0) = 0 / 2
sin(30) = 1 / 2
sin(45) = [tex]\sqrt{2}[/tex] / 2
sin(60) = [tex]\sqrt{3}[/tex] / 2
sin(90) = [tex]\sqrt{4}[/tex] / 2 aka 1
now the numerators just count up from 90°
cos(90) = 0 / 2
cos(60) = 1 / 2
cos(45) = [tex]\sqrt{2}[/tex] / 2
cos(30) = [tex]\sqrt{3}[/tex] / 2
cos(0) = [tex]\sqrt{4}[/tex] / 2 aka 1
see the pattern.. it's pretty easy to memorize, knowing that :)
now let's use the above to plug into the given equation
16* [tex]\sqrt{3}[/tex] / 2 - 20* [tex]\sqrt{3}[/tex] / 2- 8*[tex]\sqrt{4}[/tex] / 2
8* [tex]\sqrt{3}[/tex] - 10 [tex]\sqrt{3}[/tex] -8
-2*[tex]\sqrt{3}[/tex] - 8
this isn't quite the same answer as you got before.. I feel like it's right
please help with numbers 5-18..ik its a lol but please this a 4 page packet and please show work
Answer:
5-18 answers below ↓
Step-by-step explanation:
5) 14/2=7
7^2=49
10^2=100
h^2+49=100
-49 -49
h^2=51 h=✓51= 3•17
6) 48/2= 24
24^2=576
44^2=1936
h^2+576=1936
-576 -576
h^2=1360 h=✓1360= 4•340
7) 24^2+b^2=32^2 (leg is short side & hypo.. is long side)
576+b^2=1024
-576 -576
b^2= 448 b=✓448=4•112 length of 3rd side it's hypo..
8) 24^2+b^2=45^2
576+b^2=2025
-576 -576
b^2=1449 b=✓1449=9•161 length of 3rd side hypo..
9) 40^2+b^2=85^2
1600+b^2=7225
-1600 -1600
b^2=5625 b^2=✓5625 b=75 length of 3rd side leg
10) 49^2+b^2=168^2
2401+b^2=28,224
-2401 -2401
b^2=25,823 b=✓25,823 b=49•527 length of 3rd side hypo..
11) 72^2+b^2=78^2
5184+b^2=6084
-5184 -5184
b^2=900 b=✓900=30 length of 3rd side leg
12) 7^2+x^2=10^2
49+x^2=100
-49 -49
x=51=3•17
13) 12^2+x^2=28^2
144+x^2=784
-144 -144
x=✓640=4•160
14) 44^2+x^2=52^2
1936+x^2=2704
-1936 -1936
x=✓768=4•192
15) 120^2+h^2=125^2
14,400+h^2=15,625
-14,400 -14,400
h^2=1,225 h=✓1225 h=35
16) might be wrong but worth a try 8+8=16
16^2+x^2=16^2
256+x^2=256 x=0 don't know these challenge ones sorry, but the rest of the questions are correct hope this helps u (:
If I have a meal that cost 6.14 and I have $8 how much change do I get
Answer:
8-6.14= 1.86
That's what you get
Answer:
you would get $1.86 back
factorize 4x^3 -8x^2- 12x
Answer:
Step-by-step explanation:
4x³ - 8x² - 12x = 4x ( x² - 2x - 3)
= 4x (x² + x - 3x - 3*1)
= 4x [ x(x + 1) - 3(x +1)]
= 4x [ (x +1) (x - 3)]
= 4x (x + 1)(x-3)
Answer:4x^3 -8x^2- 12x
Taking common4 x
4X(x²-2x-3)
Doing middle term factorization
4x(x²-3x+x-3)
4x(x(x-3)+1(x-3))
4x(x-3)(x+1) is your answer
Step-by-step explanation:
please anyone know anything abt geometry i really need it
Answer:
8,14,9 = yes
8 + 14 > 9 ✅
17,4,13 = yes
17 + 4 > 13 ✅
9,9,9 = yes
9 + 9 > 9 ✅
22,23,60 = no
22 + 23 > 60 ❌
If g(x)=−5x2−11 and f(x)=10x+5, find (f⋅g)(x).
Answer: -50x^3 - 25x^2 - 110x - 55
Step-by-step explanation: brainliets if its right
-1/3+1/2 simplified??
Answer:
1/6
Step-by-step explanation:
PLS HELP 100 POINTS ILL EVEN SEND U 50 AFTER IF U HELP
USE THE PIC
10.) Huntington’s disease is an autosomal dominant genetic disorder causing a breakdown of the brain. Write in the genotypes on the line next to / below each individual.
Answer:
1.dd
2.Dd
3.dd
4.Dd
5.dd
Explanation:
It's genetics
D d
d D d
d D d
what's the value of x
if
[tex] {x}^{3} = 343[/tex]
Answer:
The value of x is 7.
Step-by-step explanation:
Cube root both sides to isolate x. X euqal 7