23/14=1.6 square feet per hour
A child throws a ball upward with an initial velocity of 15 ft/s from a height of 2 feet. Let ℎ = 0 and solve. If no one catches the ball, how long will it be in the air? Round to the nearest hundredth. ℎ = −16 2 + v + where v is the initial upward velocity with starting height
Answer:
1.056 seconds
Step-by-step explanation:
Solution:-
- When a ball is thrown vertically in air from a height of "so" from the ground at a velocity of " vo " it follows a parabolic trajectory. The ball undergoes its upward motion against gravity. Hence, it has negative acceleration of a = -g = -32 ft/s^2.
- When the balls reaches its maximum height in air, it starts its downward journey under the complete influence of gravity; hence, it accelerates with a = +g = 32 ft/s^2.
- The entire trajectory of the ball is governed by the constant acceleration "a" due to gravity and neglecting any other effects on the ball i.e air resistance.
- There are three kinematic equation of motion valid for any particle undergoing independent one dimensional motion with constant acceleration.
- For vertical trajectory the displacement "h" from the ground is given by the second kinematic equation of motion:
h - so = vo*t + 0.5*a*t^2
h = vo*t + 0.5*a*t^2 + so
Where the parameters are given as:
so = 2 feet
vo = 15 ft/s
a = - 32 ft/s^2
Therefore we have:
h = 15*t + 0.5*(-32)*t^2 + 2
h = -16t^2 + 15t + 2
- To determine the amount of time the ball is in air the displacement is given by the distance from the ground. The journey starts when the ball is thrown from height "so" and ends when it strikes the ground; hence, at h = 0 ft.
0 = -16t^2 + 15t + 2
0 = 16t^2 -15t - 2
- Use the quadratic formula to solve for time "t":
[tex]t = \frac{-b+/-\sqrt{b^2 - 4*a*c} }{2a} \\\\at^2 + bt + c = 0[/tex]
- Plug in the respective constants:
[tex]t = \frac{15+/-\sqrt{15^2 - 4*16*-2} }{32} \\\\ t = \frac{15+/-18.78829 }{32} \\\\t = 1.056 s[/tex]
- The total time for ball in air would be 1.056 seconds. ( Neglect the negative value of time )
3,024 divided by 336
Answer:
your answer would be 9. hope this helps!
Answer:
-Dividing 3,024 by 336 would give you 9:
[tex]3,024 \div 336 = 9[/tex]
Write the following fractions in order of size.
Start with the smallest fraction.
(anyone pleasee
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You have to convert them so they have a common denominator
A common multiple of all these is 24
3/4 --> 18/24
5/12 --> 10/24
1/2 --> 12/24
1/4 --> 6/24
2/3 --> 16/24
Now you can easily compare the values
The correct order would be:
D B C E A
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Answer:
Order is DBCEA (1/4, 5/12, 1/2, 2/3, 3/4)
Step-by-step explanation:
Reason that is the order is if you make everthing have a common denominator of 12 you get:
A=9/12
B=5/12
C=6/12
D=3/12
E=8/12
If you rearrange and simplify again you get the order of DBCEA or 1/4, 5/12, 1/2, 2/3, 3/4
James, Priya, and Siobhan work in a grocery Store. James makes $9.00 per hour. Priya makes 40% more than James, and Siobhan makes 15% less that Priya. How much does Siobhan make per hour?
Answer:
* Siobhan's profit at the grocery store ⇒ $ 10.8 *
Step-by-step explanation:
See below;
Priya's 40% profit in the grocery store ⇒ 40/100 * 9 = 2/5 * 9 = 18/5 ⇒ $ 3.6,
Priya's profit at the grocery store ⇒ 9 + 3.6 ⇒ $ 12.6,
Siobhan's 15% of Priya's profit from the store ⇒ 15/100 * 12.6 = $ 1.8
Siobhan's profit at the grocery store ⇒ 12.6 - 1.8 = $ 10.8
* Siobhan's profit at the grocery store ⇒ $ 10.8 *
A baker can bake 20 cakes per hour. How long will it take him to bake 400 cakes
Answer:
20 hours
Step-by-step explanation:
20x20
Answer: 20 hours
Step-by-step explanation:
Hour=60 min
20 cakes=60 min
400 ÷ 20 = 20 hours
Write a number in the blank to make the statement true.
Flora the giraffe weighs 2670 pounds.
Last year Flora weighed 2340 pounds.
Flora has gained
ao
pounds since last year.
Answer: 330 pounds
Step-by-step explanation:
A snack bar sells two types of gronala bars. An apricot bar costs $0.80, and a cranberry bar costs $1.25. write an algebraic expression that represents the income the snack bar makes from selling gronala bars.
Answer:
Total Cost (T)= .80a+1.25c
T= a+c
Step-by-step explanation:
This equation has 2 variables. It also has 2 equations
I have two bags of counters.
The first bag contains two red counters and one blue counter.
The second bag contains one red counter, one blue counter
and two yellow counters.
I take a counter at random from both bags.
a) What is the probability that the two counters will be the same colour?
b) What is the probability that exactly one of the counters will be red?
Answer:
oooooh Mathswatch.a=3/12 b=7/12
Step-by-step explanation:
a=You need to list all the probability out
There is a total of 24 possibility and 6 of them are the same colour. Simplify it, it becomes 3/12
b= see the photo. (sorry the photo wasn't too good, I am on a computer)
There are a total of 14 combination that has one red counter in it, simplify it, it is 7/12
A) The probability that the two counters will be the same colour is; ¼
B) Probability that exactly one of the counters will be red is; P(exactly one counter is red) = 7/12
We are told that he has 2 bags of counters;
First bag;
- 2 red counters
- 1 blue counter
Second bag;
- One red counter
- One blue counter
- two yellow counters
A) He takes a counter from both bags, probability that they will be same colour is;
RR or BB
Now, P(RR) = ⅔ × ¼ = 2/12
P(BB) = ⅓ × ¼ = 1/12
Thus;
P(both same colour) = 2/12 + 1/12
P(both same colour) = ¼
B) Probability that exactly one of the counters will be red;
The possible combinations in this way that have a red is 14.
Meanwhile total possible combinations is 24.
Thus;
P(exactly one counter is red) = 14/24
P(exactly one counter is red) = 7/12
Read more at; https://brainly.com/question/16601588
Please I really need the answer for this
The answer is A it is correct.
Answer: THE OBJECT MUST MOVE IN THE SAME DIRECTION AS THE FORCE. WORK IS DONE ON AN OBJECT IF TWO THINGS OCCUR 1. THE OBJECT MOVES AS A FORCE IS APPLIED 2. THE DIRECTION OF THE OBJECT'S MOTION IS THE SAME AS THE DIRECTION OF THE FORCE APPLIED.
Step-by-step explanation:
What scale factor will dilate triangle ABC so that it has the same vertices as triangle DEF?
Answer:
0.5
Step-by-step explanation:
Answer:
answer is 0.5 just got it right
Step-by-step explanation:
A theater can hold 120 giants or 144 elves. If 90 giants are already inside, how many elves can also be admitted?
Answer:
36
Step-by-step explanation:
make proportion giants to elves
120/144 = 90/x cross multiply
120x =144*90
120x =12960 divide by 120
x = 108
so if there are 90 giants in the theater there are 108 elves also
considering that total 144 elves can be in the theater subtract 144 and 108 so 36 more elves can be admitted
Answer:
36 elves
Step-by-step explanation:
Using proportions
We have space for 30 more giants
30 giants x elves
------------- = ----------
120 full 144 elves full
Using cross products
30*144 = x*120
Divide each side by 120
30*144/120 = 120x/120
36 = x
We can have 36 elves
A recipe calls for 3/4 of an onion. It makes enough for 4 people. Have much onion does each person get?
Answer:
3/16 of an onion
Step-by-step explanation:
3/4 onion divided by 4
3/4÷4
Copy dot lip
3/4 * 1/4
3 /16 of an onion
Answer:
[tex] \frac{3}{16} [/tex]
Step-by-step explanation:
[tex] \frac{3}{4} \div \frac{4}{1} \\ \frac{3}{4} \times \frac{3}{4} \\ = \frac{3}{16} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Find the amount of money in an account after 4 years if $1800 is deposited at 5% annual interest compounded quarterly.
Answer:
$2195.80
Step-by-step explanation:
For a initial principal, P compounded with period k over n years at an annual interest rate, r, the amount (A(n)) at the end of n years is determined using the function:
[tex]A(n)=P(1+\frac{r}{k})^{nk}[/tex]
In the given case:
P=$1800
n=4 years
r=5%=0.05
Since it is compounded quarterly, Period, k=4
Therefore, the amount of money in the account after 4 years is:
[tex]A(n)=1800(1+\frac{0.05}{4})^{4*4}\\=1800(1+0.0125)^{16}\\=1800(1.0125)^{16}\\=\$2195.80[/tex]
After 4 years, there will be $2195.80 in the account.
What is the volume of this rectangular prism?
Answer:
12/5 cm^3
Step-by-step explanation:
When you try and figure out volume, you want to multiply all of the sides a shape in order to get it.
The formula for volume is L x W x H
Now let's substitute all of the units with it's corresponding numbers:
L=3
W=4/3
H=3/5
Then just multiply:
3*4/3 = 4
4*3/5=12/5
Then you get the answer 12/5 cm^3
Answer:
[tex]2 \frac{2}{5} {cm}^{3} [/tex]
Step-by-step explanation:
[tex]volume = whl \\ = 3 \times \frac{4}{3} \times \frac{3}{5} \\ = \frac{36}{15} {cm}^{3} \\ = 2 \frac{6}{15} {cm}^{3} \\ = 2 \frac{2}{5} {cm}^{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!!
Find the exact value of cot (theta) for an angle (theta) with sin (theta)= -1/6 and with its terminal side in Quadrant III.
Answer:
cotθ = √35 = 5.91
Step-by-step explanation:
Explanation:-
Given sin(θ) = -1/6
[tex]cosec(theta) = \frac{1}{sin(theta)} = \frac{1}{\frac{-1}{6} } = -6[/tex]
We will use trigonometric formula
co sec ²θ -cot²θ =1
cot ² θ = co sec ²θ - 1
cot ² θ = (-6)² -1 = 36 -1 =35
cotθ = √35 = 5.91
Given' θ' is Quadrant III.
In third quadrant cotθ and tanθ are positive
cotθ = √35 = 5.91
Tell whether the number is written in scientific notation
7.814×10^−36
Answer:
it is written in scientific notation
Solve the equation: 1/3 x - 4 = 28
Answer:
x = 96
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, add 4 to both sides:
(1/3)x - 4 (+4) = 28 (+4)
(1/3)x = 28 + 4
(1/3)x = 32
Next, multiply 3 to both sides:
(3)(1/3)x = (32)(3)
x = 32 * 3
x = 96
x = 96 is your answer.
~
Answer:
96=x
Step-by-step explanation:
Add 4 to each side
1/3x= 32
multiply 3 on each side to cancel out the fraction
x=96
can you please explain ME how to solve identity of algebra homework
Step-by-step explanation:
"identity" means an operation that does nothing.
For adding numbers, adding 0 changes nothing, so 0 is the identity for addition.
For multiplication, multiplying by 1 changes nothing, so 1 is the identity for multiplication.
El volumen de un cubo ed de 125 cm3. ¿cuantas veces aumentara el volumen de ese cubo si se duplica la medida de su arista?
Answer:
The volume would increase 8 times
Step-by-step explanation:
The volume of a cube is given by the following formula:
Volume = side^3
With a volume of 125 cm3, we have:
125 = side^3
Now, if we double the length of the side, we have that:
New volume = (2*side)^3
New volume = 8*side^3
New volume = 8 * 125 = 1000
So the ratio of the new volume over the old volume is:
New volume / Volume = 1000 / 125 = 8
So the volume increased 8 times.
Zain bought ice cream and sherbet at the grocery store and is placing the containers in the freezer. The container of ice cream was sold in a 10" × 14" × 12" container, and the sherbet was sold in an 11" × 18" × 9" container. How much less space does the container of ice cream occupy than the container of sherbet? *
Answer:
102 in^3.
Step-by-step explanation:
Volume of the ice cream container = 10*14*12 = 1680 in^3.
Volume of the sherbet container = 11*18^9 = 1782 in^3.
So the answer is 1782 - 1680
= 102 in^3.
Question down below thx!
Answer:
6 pi
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
The diameter is 2 so the radius is 1/2 d = 1
V = pi (1)^2 * 6
V = 6 pi
help me cos I give brainliest so good look image below
Answer:
fx
2.542809140.5sum of (fx)= 214
mean = £fx/ N
N=100
mean= 214÷100
mean = 2.14
Classify the triangle by its sides and then by its angle
Answer:
equilateral right triangle
Step-by-step explanation:
7^2+7^2=c^2
49+49=c^2
c^2=98
c=10
Therefore, equilateral right triangle
The 3 rd term of an AP is 3 and 11th term is -21, find its first term and common difference.
Answer:
Step-by-step explanation:
a₃=a-(3-1)d
=a-2d=3⇒equation 1
a₁₁=
=a-10d=11⇒eq 2
by elimination method
eq2-eq1
-8d=8d=-1
substituding in eq1 a=1
hope this helps
plzz mark me brainliest
What is the value of x?
6
7
8
9
Answer:
7
Step-by-step explanation:
just took the test on edg2020
The value of x from the given parallelogram ABCD is 7. Therefore, option B is the correct answer.
In the given figure, AD=5x+3 and BC=38.
What is parallelogram?A parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram. A quadrilateral will be a parallelogram if its opposite sides are parallel and congruent.
In the parallelogram ABCD, AD=BC
So, 5x+3=38
⇒ 5x=35
⇒ x=7
The value of x from the given parallelogram ABCD is 7. Therefore, option B is the correct answer.
Learn more about the parallelogram here:
https://brainly.com/question/19187448.
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Which is a right triangle formed using a diagonal through the interior of the cube?
A .triangle BDH
B .triangle DCB
C .triangle GDC
D .triangle GHE
Answer:
GDC
Step-by-step explanation:
Need help - check image
Answer:
All real numbers
Step-by-step explanation:
The range is the possible output values
This is a line and the output goes from negative infinity to positive infinity
The range is all real numbers
Answer:
A
Step-by-step explanation:
Since it's a straight line, it extends from negative infinity to positive infinity
Find area of the triangle
Answer:
A =13.5 yd^2
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh where b is the base and h is the height
A = 1/2 (4.5) ( 6)
A =13.5 yd^2
Answer:
22.5
Step-by-step explanation:
7.5ydx6yd
=45yd
45yd/2
=22.5yd^2
Which statement is true?
pls help me ! * ill give you BRAINLIST , have to get it right *
Answer:
The y intercept of Function A is greater than the y intercept of Function B.
Step-by-step explanation:
-3 is greater than -4.
[tex] - 9 \times 4 = [/tex]
Hey!!!
Here's your answer
-9*4=-36
So the right answer -36.
Hope it will help you
Good luck on your assignment
Answer:
-36
Step-by-step explanation:
-9*4 = -(9*4) = -36