A diver is standing on a platform 25 feet above the pool. He jumps from the platform at an initial velocity of 10 ft/s. Use the formula h(t)=-16t^2+vt+s where his height above the water at time t seconds, v is the starting upward velocity, and s is his starting point to write an equation to model the dive
Answer:
(one thing to notice, the units of the 16 in the height equation should be ft/s^2, because this is an acceleration)
We know that:
v is the initial vertical velocity, and we know that it is 10ft/s
then:
v = 10ft/s.
s is the initial position, and we know that he starts on a platform 25ft above the pool, then if we define the pool as the 0 in the vertical axis, we have:
s = 25ft
Now we can write the height as:
h(t) = (-16ft/s^2)*t^2 + (10ft/s)*t + 25ft.
Now with this equation, we can find the time it takes for the diver to hit the pool.
Remember that we defined the pool as the 0 in the vertical axis, then when h(t) = 0ft the diver will enter in the pool.
With that, we can find the value of t = time, that it takes for the diver to enter the pool.
h(t) = 0 ft = (-16ft/s^2)*t^2 + (10ft/s)*t + 25ft.
Now we can solve this with the Bhaskara equation:
[tex]t = \frac{-10m/s +. \sqrt{(10m/s)^2 - 4*(25ft)*(-16ft/s^2)} }{-16ft/s^2*2} = \frac{-10ft/s +- 41.23ft/s}{-32ft/s^2}[/tex]
We will have two solutions:
t = ((-10 + 41.23)/-32) s = -0.96s
t = (-10 - 41.23)/-32) s = 1.6 s
The negative has no physical sense, so we can discard that option.
This means that the only correct option is 1.6 seconds, then the time that it takes for the diver to enter the pool after he jumps is 1.6 seconds.
3(2x + 5) + 4 = 7
what the answer to c
Answer:
-2
Step-by-step explanation:
Opening bracket,
6x+15 +4=7
6x=7-19 (I took 15 and 4 to other side and thus they became negative)
x=-12/6
x=-2
Pls mark me brainliest
Answer:
The answer is x = -2
Step-by-step explanation:
FOIL
3*2x + 3*5 + 4 = 7
6x + 15 + 4 = 7
6x + 19 = 7
Subtract 19 from both sides.
6x = -12
Divide both by 6.
x = -2
Solve for b in the following equation.
- 2 = 4
b = 12
b = 24
b = 36
b = 1
Answer:
B= 36
Step-by-step explanation
I reported the other answers and they got deleted this is the right answer
please help.
The price of an item at a store is p. The tax that is charges is 7%. The expression below shows the total amount that has to be paid. Mark all that apply. look at the picture I attached.
Answer:
E and D
Step-by-step explanation:
find the perimeter
Answer:
it is 32
Step-by-step explanation:
15 divided by 3 is 5 and if you are trying to find the second triangles sides you would subtract 5 from 12 to get 5 and 2. then you would multiply all the sides by 3 and add them together to get 32.
3x-(2-4x) x is a variable
3x-(2+4x)
PLEASE ANSWER ASAP TEACHER CALLED ON ME
Answer:
Your answer is: - x - 2
Simplify the expression.
Step-by-step explanation:
Hope this helped : )
Sierra used her debit card to purchase seven Monster drinks for $2.25 each.
How much did she spend on the monster drinks? Write and solve a math problem.
Will reward brainlest
Answer:
$15.75
Step-by-step explanation:
If the monster drinks are $2.25 each, and she bought 7 of them, the answer is 15.75, because 2.25 x 7 = $15.75
HOPE IT HELPS :DDD
4x+14=6x+8
Solve please
Answer:
x=3
Step-by-step explanation:
Convert 0.0002 ug to mg:
Please help
1 ug = 0,001 mg
0,0002 ug= x
x= (0,0002×0,001)/1
x= 2e-7
a and b are positive numbers.
a is inversely proportional to b.
when a=4,b=36
find value of a when b=a
Answer:
a = 12
Step-by-step explanation:
Given that a is inversely proportional to b then the equation relating them is
a = [tex]\frac{k}{b}[/tex] ← k is the comstant of proportion
To find k use the condition when a = 4, b = 36, then
4 = [tex]\frac{k}{36}[/tex] ( multiply both sides by 36 )
144 = k
a = [tex]\frac{144}{b}[/tex] ← equation of proportion
When b = a , then
a = [tex]\frac{144}{a}[/tex] ( multiply both sides by a )
a² = 144 ( take square root of both sides )
a = ± [tex]\sqrt{144}[/tex] = ± 12
However a is a positive number, thus a = 12
what is the cost price of an article which when sold at Rs 10260 gives a profit of 20%?
Answer:
8208 Rs
Step-by-step explanation:
Rs: 10260
Profit 20%
10260 * 0.20 * 100% = 2052 Rs
10260 Rs - 2052 Rs = cost of product to be produced
CP: Rs 10260
Profit: 20%
Solution: 20% off 10260 is equal to (20 x 20) / 100 = 2052. So if you buy an item at $10260 with 20% discounts, you will pay $8208 and get 2052 cashback rewards
Please help me with this! Legitimate answers only please!
Fill in the blanks with the proper/right options for the problem.
Answer:
x= amount of subscriptions
y= total amount
m= $5 rate of change
b= $15 a starting point....
Eq: y=5x+15
preform the indicated operation 2 3/8 × 5 3/4
Answer:
It is 13 21/32 hope this helps
Solve
44 = 2(3x - 5)
Answer:
x = 9
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
44 = 2(3x − 5)
44 = (2)(3x) + (2)(−5) (Distribute)
44 = 6x + −10
44 = 6x − 10
Step 2: Flip the equation.
6x − 10 = 44
Step 3: Add 10 to both sides.
6x − 10 + 10 = 44 + 10
6x = 54
Step 4: Divide both sides by 6.
[tex]\frac{6x}{6} = \frac{54}{6}[/tex]
x = 9
Hope it helps!!
Help needed immediately. :( this is my my third time posting and no one is helping
Answer:
I know for a fact its the first and third ones but if there are more than those two I don't know
Step-by-step explanation:
Answer:
triangles ABC and DCB are congruent by the side-angle-side triangle congruence theorem is the correct answer
hope it helps you!
What is equivalent to 6/9
Answer:
Answer: 2/3
Step-by-step explanation:
6 and 9 are divisible by 3 so if you divide the numerator and denominator by 3 you obtain the equivalent fraction 2/3.
You can also multiply the numerator and denominator by the same amount to obtain an equivalent fraction.
Tom needs 9/10 pints of glue for his art project. He has 7/10 pints of glue. How much more glue does he need? write in simplest form.
Answer:
7/10-5/10= 2/10≈ 1/5
Step-by-step explanation:
hope this is right and i hoped this helped
Answer:
1/5 pint
Step-by-step explanation:
given:
Amount of Glue needed = 9/10 pints
Amount of Glue available = 7/10 pints
Amount of extra glue needed = Amount of glue needed - Amount of Glue Available
= 9/10 - 7/10
= (9-7)/10
= 2/10 (simplify by dividing both numerator and denominator by 2)
= 1/5 pint
Stefan estimates the income and expenses for renting
a phone accessory store in the mall. He enters the
amounts in the table below. Should Stefan
rent a phone accessory store? Explain.
Answer/Step-by-step explanation:
If total income is more than total expenses, she should rent it. If the total income is less than the total expenses, she should not rent it.
Total income estimated in a month:
Sales: $950 per week = 950*4weeks = $3,800 per month
Services: $2,875 per month
Total estimated income per month = $(3,800 + 2,875) = $6,675
Total expenses estimated in a month:
Rent: $4,500 per month
Travel: $7.5 per day = 7.5*7days = $52.5 per week.
Assuming there are 4 weeks in a month, expenses for travel in a month will be:
$52.5*4 = $210
Merchandise: $1,650 per month
Total expenses estimated per month = $(4,500 + 210 + 1,650) = $6,360
Total estimated income ( > total estimated expenses in a month, therefore, Stefan should rent the phone accessory store. She will make profit.
Using the following graph, determine the slope of the line,
The slope of the line is
Answer:
-2
Step-by-step explanation:
Just choose any two points and calculate the slope. The way to calculate the slope between two points (x1, y1) and (x2, y2) is (y2-y1)/(x2-x1)
D is between C and E. CE = 6x, CD = 4x + 8, and DE = 28. Find CE.
Please Answer ASAP!!!
(BTW it's high school geometry)
Answer:
CE=108
Step-by-step explanation:
*I don't have my phone with me so I can't add a picture of what I drew*
First, draw a line. On one end, write C. On the other end, write E. In the middle of them, write D. The question states that CE=6x, so on the bottom of the line, write 6x. On top on the first half write 4x+8 (between C and D). On the other half between D and E write 28.
According the the information we have been given and the diagram we made, CD+DE=CE. Hence, (4x+8)+28=6x
(4x+8)+28=6x (subtract four from both sides)
8+28=6x-4x (combine like terms)
36=2x (divide two from both sides)
x=18
Now, substitute 18 for x in 6x (CE=6x)
CE=6(18)
CE=108
I hope this helped :DD
What is the value of x?
A.) х= 21
B.) x= 28
C.) x= 35
D.) x= 37
Answer:
I think the answer is B 28 sorry if I am wrong
Answer:
x=37
Step-by-step explanation:
A female hippopotamus can weigh 48,000
ounces. How many tons can a female
hippopotamus weigh?
Answer:
1.5 tons
Step-by-step explanation:
1 US tons is equal to 32,000 ounces. Using this, you divided 48,000/32,000 = 12/8 = 1.5 tons
Solve the equation for x: 3x=.5
Answer:
[tex]x=\frac{1}{6}[/tex] or [tex]x=1.6667[/tex]
Step-by-step explanation:
All you have to do is divide both sides by 3. When dividing decimals it's sometimes easier to change it to a fractions like so: [tex]x=\frac{1}{2} /\frac{3}{1}[/tex] to divide fractions you multiply the reciprocal like this: [tex]x=\frac{1}{2} * \frac{1}{3}[/tex] to get [tex]x=\frac{1}{6}[/tex]
Question 8 (2 points)
Gaston has an annuity that pays $250 at the beginning of each quarter. If the economy grows at a rate of 4.97% annually, what is the value of
the annuity if he received it in a lump sum now rather than over a period of eight years? (2 points)
$1,617.76
$1,698.17
$6,471.06
$6,792.67
What is the rate of change (slope) of the function y = −7x?
The rate of change is -7, because the standard equation is y = mx + b, where m is the slope and b is the y intercept. Here, m is what is attached to x, which is -7, s0 -7 is the slope.
-7Perrin uses 24 ounces of milk in a recipe. How many cups is 24 ounces?
Answer:
3 cups
Step-by-step explanation:
Need help?!!??!!!!!!!
Answer:
Step-by-step explanation:
m : n = 2 :1
A(1 , 3 ) ; x₁ = 1 & y₁ = 3
B(7, 8) ; x₂ = 7 & y₂ = 8
Required Point = [tex](\frac{mx_{2}+nx_{1}}{m+n},\frac{my_{2}+ny_{1}}{m+n})[/tex]
[tex]=(\frac{2*7+1*1}{2+1},\frac{2*8+1*3}{2+1})\\\\=(\frac{14+1}{3},\frac{16+3}{3})\\\\\\=(\frac{15}{3},\frac{19}{3})\\=(5,6.3)[/tex]
Mrs. Clark purchased a box of pencils.
The purchase price was $1.80 for 12
pencils. How much did she pay for
each pencil?
Answer:
0.15 cents
Step-by-step explanation:
1.80 (price) divided by 12 (amount) = 0.15 cents per pencil
Use substitution to solve the system.
x = 3y +7
3x + 4y = 8
Answer:
x=4, y=-1
Step-by-step explanation:
x=3y +7. equation 1
3x+4y=8. equation 2
substitute equation 1 into equation 2
3 (3y +7)+4y =8
9y+21+4y=8
13y+ 21=8
13y=8-21
y=-13/13
y=-1
substitute the value of y into equation 1
x=3(-1)+7
x=-3+7
x=4
Read the proof.
What is step 2?
sin(2x) = cos(x)cos(x) – sin(x)sin(x)
sin(2x) = sin(x)cos(x) – sin(x)cos(x)
sin(2x) = cos(x)cos(x) + sin(x)sin(x)
sin(2x) = sin(x)cos(x) + sin(x)cos(x)
Answer:
The correct answer is D) sin(2x) = sin(x)cos(x)+sin(x)cos(x)
Step-by-step explanation:
Right answer on Edge
The step 2 will be;
⇒ sin (2x) = sin (x) sin (x) + cos (x) cos (x)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The steps are;
Step 1; sin (2x) = sin (x + x)
Step 3; sin (2x) = 2 sin (x) cos (x)
Now,
Since, The steps of the solution are;
Step 1; sin (2x) = sin (x + x)
Step 3; sin (2x) = 2 sin (x) cos (x)
Hence, We get;
All the steps as;
⇒ sin (2x) = sin (x + x)
⇒ sin (2x) = sin (x) sin (x) + cos (x) cos (x)
⇒ sin (2x) = 2 sin (x) cos (x)
Thus, The expression for step 2;
⇒ sin (2x) = sin (x) sin (x) + cos (x) cos (x)
Learn more about the mathematical expression visit:
brainly.com/question/1859113
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