The solution to the problem is 16.
first, you must set up the equation.
[tex]4^4*\frac{4^3}{4^5}[/tex]
Then, simplify exponents.
256*[tex]\frac{64}{1024}[/tex]
Next, simplify the equation.
16
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.
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
Mikey and some of his friends went to play paintball yesterday. The park where they played charges $5.59 per game they play for each person. If Mikey brought 7 friends with him, and the total amount they paid was $178.88, how many games of paintball did they play?
A. 32
B. 5
C. 4
D. 22
4 games as:
5.59 * 8 = 44.72
178.88/44.72 = 4
Answer = C. 4
Mark as Brainliest please
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
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
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
Solve mobiles plz help I’m confused
Answer:
Gold square = 4
Blue triangle = 3
Step-by-step explanation:
Red hexagon = 6, and there are 4 red hexagons. So the total is 24.
Therefore, the total on the other side must also be 24.
That means the 4 blue triangles add up to 12, and the 3 gold squares add up to 12.
So each blue triangle is 3, and each gold square is 4.
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
Select the false statement
A. Dilations make pre-images bigger.
B. Dilations make pre-images smaller.
C. A dilated image has different angle measurements than the pre-image.
D. A dilated image has the same angle measurements as the pre-image.
Answer:
C
Step-by-step explanation:
A & B & D are true
It simply makes it bigger/smaller with keeping the same angle measurements.
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.
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
The distance between two towns is 130 kilometers. There are approximately 8 kilometers in 5 miles.
Which measurement is closest to the number of miles between the two towns?
Please Give A Good Answer Ill Give Brainest And Extra Points
Answer: 81 miles
Step-by-step explanation:
From the question, we are informed that the distance between two towns is 130 kilometers and that there are approximately 8 kilometers in 5 miles.
The measurement that is closest to the number of miles between the two towns goes thus:
Firstly, we need to divide 130 kilometers by 8 kilometers. This will be:
= 130/8
= 16.25
Then, we multiply 16.25 by 5 to get the number of miles between the two towns. This will be:
= 16.25 × 5 miles
= 81.25 miles
= 81 miles
Is the equation linear? Select Yes or No for each equation.
Answer: 1. yes 2. yes 3. no
if x or y has more than one ex: xx
it is not linear
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 : )
Please help me............
Answer: Answer: I’m not big brain
Step-by-step explanation:
Step-by-step explanation:
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
YALLL PLZZZZ HELPPPP ANYBODYYYYY I DONT GET THIS
Answer:
121
Step-by-step explanation:
74+47=121
180-121=59
59+x=180
x=121
preform the indicated operation 2 3/8 × 5 3/4
Answer:
It is 13 21/32 hope this helps
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
#SPJ2
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!
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:
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]
Roberta is planting flowers in her garden. She plants 9 rows of flowers. There are 7 flowers in each row. How many flowers does she plant in all?
Answer:
63 flowers
Step-by-step explanation:
all you have to do is multiply 7 and 9
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.
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)
Gary had a pizza party for his friend 14 people showed up,and they had 50 pieces of pizza. How many pieces of pizza did each person have
Answer:
3
Hope this helps
Answer:
3
Step-by-step explanation:
each friend would have 3 pizzas
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 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
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!!
Based on the graph, which of the following represents a solution to the equation
(-2,-3)
(3,2)
(1,3)
(3,1)
Answer:
Add a picture of the graph please?
Step-by-step explanation: