Answer:
h= -20
t = -0.104 and -2.39s
Step-by-step explanation:
A juggler tosses a ball into the air. The balls height, h, and the t seconds can be represented by the equation h(t)=16t^2+40t+4. Suppose the juggler missed and the ball hit the ground. Find the maximum height of the ball and the time it took the ball to reach the ground. Round all answers to the nearest hundredth
The velocity of the body at its maximum height is zero
V= dh/dt
dh/dt = 32t + 40
0 = 32t+40
-32t = 40
t = 40/-32
t = -1.25s
Substitute t = -1.25 into the expression
h(t)=16t^2+40t+4.
h(-1.25)=16(-1.25)^2+40(-1.25)t+4.
h = 16(1.5625)-50+5
h = 25-45
h =-20
Hence the maximums height is -20m
The ball will reach the ground at h = 0
Substitute
h(t)=16t^2+40t+4.
0 = 16t^2+40t+4
Divide through by 4
0 = 4t²+10t+1
Factorize
-10±√10²-4(4)/2(4)
t = -10±√100-16/8
t = -10±√84/8
t =-10+9.17/8
t = -0.83/8 and -19.17/8
t = -0.104 and -2.39s
Connor is driving on a long road trip. He currently has 9 gallons of gas in his car. Each hour that he drives, his car uses up 2 gallons of gas. How much gas would be in the tank after driving for 3 hours? How much gas would be left after t hours?
i think its 2 gallons
a) Divide the numbers 1 to 8 by 9. Observe the decimals and di
observation of non-terminating recurring decimals.
b) Divide the numbers 1 to 10 by 11 and discuss your observat
terminating recurring decimals so obtained.
:) Write any four rational numbers having the denominator 2
2, then express them in decimals. Are the decimals always te
Write the remarks of your investigation.
Write any two rational numbers having the denominator 5 or
Express them in decimals. Are the decimals always terminatin
remarks of your investigation.
Write any two rational numbers having the denominator 10 or
Express them in decimals. Are the decimals always terminati
remarks of your investigation.
The decimals of rational numbers with denominators 3 or mu
numerator is not the multiple denominator, are always non- terminating recurring. Verify it by four examples.
Answer:
12345678/9
= 1.371746...
12345678910/11
=1.12233446......
other i dont know
Please help due in 10 min
6 G
[tex]21x4[/tex]
what is it? brainiest to to who gets it
Answer:
21 x 4 is 84
Step-by-step explanation:
6G (sixth-generation wireless) is the successor to 5G cellular technology -- 6G networks will be able to use higher frequencies than 5G networks and provide substantially higher capacity and much lower latency.
Bob's pet snake is 10 inches shorter than three times the length of Mary's pet snake. If both their snakes laid together end to end measure 110 inches, how long is Bob's snake? Which equation would NOT solve this problem?
Answer:
The length of Bob's snake = x = 80 inches
The length of Mary's snake = y = 30 inches
Step-by-step explanation:
Let the length of Bob's snake = x
the length of Mary's snake = y
From the above question:
Bob's pet snake is 10 inches shorter than three times the length of Mary's pet snake.
x = 3 × y - 10
x = 3y - 10
If both their snakes laid together end to end measure 110 inches, how long is Bob's snake?
x + y = 110 inches
Substance 3y - 10 for x
3y - 10 + y = 110
Add 10 to both sides of the Equation
3y + y -10 + 10 = 110 + 10
4y = 120
y = 120/4
y = 30 inches
x + y = 110 inches
x + 30 inches = 110 inches
x = 110 inches - 30 inches
x = 80 inches
What is 5(4x + 3.5) equivalent to?
Answer:
The answer is
20x + 17.5
Step-by-step explanation:
Multiply the 5 by the numbers inside the parenthesis.
5 x 4x
5 x 3.5
The Great Pyramids of Giza are named the Pyramid of Menkaure, the Pyramid of Khafre and the Pyramid of Khufu. The height and base of each of these pyramids are: 65.5 m by 103.4 m2, 136.4 m by 215.25 m2, 138.8 m by 230.4 m2 respectively. What is the volume of each of the Great Pyramids of Giza?
Step-by-step explanation:
The volume of a pyramid is equal to one third the product of the area of the base and the height.
Pyramid of Menkaure
Area of Base, B = 103.4 m2
Height, H = 65.5 m
Volume = 1/3 * BH
Volume = 1/3 * 103.4 * 65.5 = 2257.56 m3
Pyramid of Khafre
Area of Base, B = 215.25 m2
Height, H = 136.4 m
Volume = 1/3 * BH
Volume = 1/3 * 215.25 * 136.4 = 9786.7 m3
Pyramid of Khufu
Area of Base, B = 230.4 m2
Height, H = 138.8 m
Volume = 1/3 * BH
Volume = 1/3 * 230.4 * 138.8 = 10598.4 m3
Twenty seconds after a plane in the air show- dives, it is 300 feet from where it begin. At what rate is the plane diving
One side of a rectangle is 5 feet longer than the other side. The diagonal of the rectangle is a side of a square. The area of the part of the square that doesn't overlap with the rectangle is 61 square feet. Find the lengths of the sides of the rectangle
Answer
Step by step explanation
We experienced a lot of difficulties when submitting the answer to this question due to technical issues. Please check the files below to show how we have computed them. We make sure to made screenshots right here showing the step by step process to solve the question and also attached a word document for the question
Which is not equivalent to the others please help
Answer:0.801
Step-by-step explanation:
An equestrian club orders magazine subscriptions for new members. Last year, it had 32 new members and spent $624
subscriptions. Use the equation 32m = 624 to find the cost of each subscription. Start answer with a $
HELP I NEED HELP I WILL GIVE YOU 12 points AND BRANLIEST
Answer:
$19.50 I think?
Step-by-step explanation:
use long division if a calculator is not allowed.
jamal goes out for a coffee and a cake with his three friends. He has only £15.00 on him. He bought 4 coffees at £1.85 each and 4 identical cakes. The barista gave Jamal £2.20 change. Will Jamal’s change be enough to buy him 2 more cakes to take home to his mum and dad?
2/3 divided by 3/4
Please help
Hey,
[tex] \frac{2}{3} \div \frac{3}{4} = \frac{2}{3} . \frac{4}{3} = \frac{8}{9} [/tex]
`Sorry if it's wrong
Good luck :)
Find the square root.
9
25
0.12
Plz need help asap
Answer:
the square root of 9 is 3
the square root of 25 is 5
the square root of 0.12 is 0.346
Answer:
exact form is 3/5 and dcimal form is 0.6.
Step-by-step explanation:
simplify the radical by breaking the radicand up into a product of nown factors,assuming positive real numbers.
what is the answer to this question?
Answer:
The red one, or the one all the way to the right, or the last one
What's 5/3x(-6/7) In simplest terms??
Answer: 0.514
Step-by-step explanation:
factor completely 25d^8 -80d^4 +64
Answer:
Step-by-step explanation:
(5d^4 - 8)^2
This is a perfect square.
Note an exponent multiplied by an exponent is the addition of them so
d^4 X d^4 = d^8
or
(d^4)(d^4)=d^8
pls help me with this question..... if right I will follow u.... and give u brainliest ......pls it's urgent......
Answer:
Step-by-step explanation:
(a) Since values 5 or up go up and 4.9 and under go down, Naomi could have gone 4555 to 4564.9, as 4555 rounds up to 4560 (and is the largest number that does so) and vice versa for 4564.9
Similarly, Peta could have went from 4550 to 4649.9.
(b)
Peta could have walked 4550 and Naomi 4564.9, so this could be true
Peta could have walked 4649.9 and Naomi 4555, so this could be true
Peta could have walked 4555 and Naomi 4555, so this could be true.
All values here are in the ranges of (a)
(a)
155 to 124.9
1.235 to 1.244
0.01235 to 0.01244
What is the dollar value of 2 pennies and 3 dimes? What is the dollar value of pp pennies and dd dimes?
Answer:
17 cents
Step-by-step explanation:
what is pp and dd tho
Penny is one cent
Dime is ten cents
1 pp = $0.01
1 dd = $0.10
2 pp = $0.02
3 dd = $0.30
2 pennies and 3 dimes is equal to $0.32 in dollar value.
Solve the system by the method of your choice. Write your answer as a coordinate point (x, y). -6 + 5y =-27 -3 + 3y = -15
How many american dollars can be cxchanged by NRs100000
Answer:
877.1929824561 dollars
Step-by-step explanation:
100000÷114= 877.1929824561 dollars
hope it helps!
someone please help
Answer:
6
Step-by-step explanation:
Estimate 183 to the nearest integer.
Answer:
Step-by-step explanation:
1,83 x 10^2
Diana went on a trip over spring break. She traveled 489.6 miles and
used 17 gallons of gas. At what unit rate did Diana use gasoline?
Answer: is 28.8 miles per gallon
Step-by-step explanation:
At a local fitness center, members pay $6 membership fee and $2 for each aerobics class. Nonmembers pay $4 for each aerobics class. For what number of aerobics classes will the cost for members and nonmembers be the same? first person gets brainly
Answer:
for members: 1, 2,3,4,5
for non-members : 2,4,6,8,10
will cost same.
Step-by-step explanation:
6 + 2 = 8
members total $8 for 1 class
non-members total $4 for 1 class
8×2=16
8×3=24
8×4=32
8×5=40
4 × 2 = 8
4×3=12
4×4=16
4×5=20
4×6=24
4×7=28
4×8=32
4×9=36
4×10=40
what is the percentage? and is it growth or decay
Answer:
The general form equation is: y(x)= a(1-r)^x such that r is the decay percent. Then, the decay percent is 75%. The equation represents exponential growth because the growth factor is greater than 1.
Answer:
use calculator
Step-by-step explanation:
but I think the answer is 75%
compare the graph of g(x)=6x−5 to the graph of f(x)=6x
a. g(x) shifted up 5 units
b. g(x) shifted down 5 units
c. g(x) is 6 units steeper
d. f(x) shifted down 5 units
Answer:
The answer is B choice.
Explanation:
Compare two graphs, the transformation of the graph is g(x) while f(x) is an original.
[tex]f(x) = 6x \\ g(x) = 6x -5[/tex]
For a linear function or line graph.
[tex]y = mx + b[/tex]
This means that the function y has the graph that shifts up b units.
[tex]y = mx - b[/tex]
While on the other hands, if the function y has -b as y-intercept. We can say that the function has the graph that shifts down b units.
Rather say that. If the constant term is positive, it shifts up and if the constant term is negative, it shifts down.
Back to the answer.
Comparing two graphs, from f(x) and g(x) —
We can say that function g shifts down 5 units from f(x) ^ Read the topic above before this ^
Thus, the answer is B.
1 pts
Identify the ordered pair (point) and the slope for the point-slope form Y-3 = 7(2 – 4).
[Type in integers only.]
Point:(
I
Slope:
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Which of the following represents the relationship between the circumference, c, and diameter, d, of any circle?
Given:
Circumference of a circle = C
Diameter of a circle = d
To find:
The relationship between the circumference, c, and diameter, d, of any circle.
Solution:
We know that, circumference of a circle is
[tex]C=2\pi r[/tex]
It can be written as
[tex]C=(2r)\pi [/tex]
[tex]C=d\pi [/tex] [tex][\because d=2r][/tex]
On dividing both sides by d, we get
[tex]\dfrac{C}{d}=\pi [/tex]
Therefore, the correct option is (F).
Chandler rides his bike to school every day. He travels 2,560 feet in 640 seconds. How many feet per second did he travel?
Answer:
4
Divide the number of feet (2560) by how many seconds it took him (640) and the answer is how many feet per second
2560÷640=4
He traveled 4 feet per second
