Answer:
t=1.58 seconds
Explanation:
The equation which models the height h of the seashell above water after t seconds
Height of seashell above water after t seconds; h = 40 - 8t²
Time that seashell is in air; t = 1.58 s
The sea shell is dropped under gravity and thus, from Newton's equations of motion, we know that height/distance is;
S = ut + ½gt²
Since it was dropped from a height and not the ground, then;
h = height of shell from ground
h_o = height from which the shell was dropped.
Thus, we have;
h - h_o = ut + ½gt²
We are told that the seashell was dropped into the ocean from a height of 40 ft. Thus;
h_o = 40 ft
It was dropped from rest and so; u = 0 ft/s
Acceleration due to gravity is; g = -32ft/s² (since it is free fall)
Thus;
h - 40 = 0(t) + ½(-32t²)
h = 40 - 8t²
The time that the seashell in the air will be after it has hit the surface which will be when h = 0.
Thus;
0 = 40 - 16t²
16t² = 40
t² = 40/16
t² = 2.5
t = √2.5
t = 1.58 s
Read more at; brainly.com/question/17576926
Simplifying Expressions ,
Last question!
Find the equation of the line
Y=__x +__
Multiply. Enter the product in simplest form.
2/7 x 4/5
The sun produces 3.8 * 10 to the 27 power joules of energy per second. How much energy is produced in a year?
Answer:
1.20 × 10^35
Step-by-step explanation:
There are 60 seconds in 1 min and there are 60 mins in 1 hour. So in an hour there are 60 × 60 = 3600 seconds. There are 24 hours in a day. In a day, there are 3600 × 24 = 86400 seconds. A year is 365 days. So in a year there are 86400 × 365 = 31536000 seconds.
[tex](3.8 \times {10}^{27}) \times 31536000 = 1.20 \times {10}^{35} [/tex]
For anyone who had the similar question.
Which statement best describes the intersection of three planes?
A) The planes could form one or two lines.
B) The planes could form one, two, or three lines.
C) The planes will form two lines.
D) The planes could form one, two, or three lines, or they could intersect at exactly one point.
Answer:
D
Step-by-step explanation:
from what I could tell, it sounds like D would be correct
A windmill has eight equally spaces blades that rotate in the clockwise direction How many degrees must blade P rotate to reach location blade U?
a
225 degrees
b
45 degrees
c
120 degrees
d
180 degrees
Answer:
Option (A)
Step-by-step explanation:
Windmill is in the shape of a circle and each blade of the windmill is equally spaced.
There are 8 spaces in the windmill shown.
Therefore, angle between each blade = [tex]\frac{360}{n}[/tex]
Where n = number of blades
Angles between each blade = [tex]\frac{360}{8}[/tex]
= 45°
To reach the position of blade U by blade P will cover 5 angles between the blades.
Therefore, angle of rotation covered by P to reach U = 5×45° = 225°
Option (A) will be the correct option.
At a concert stadium tickets purchasers have a choice between sitting in the floor seats or in the bleachers seats. In the floor section, there are 16 rows of 48 seats. The bleachers section has 86 rows with 72 seats in each. How many seats are there in all stadium?
Answer:6960
Step-by-step explanation:
(16•48)+(86•72)=6960
Please do all and I’ll mark brainliest!! I’ve added extra points and I really need help ASAP!! Don’t worry about the 3D shape one
Answer:
Answers in step step-by-step explanation.
Step-by-step explanation:
1. 7
2. 0.3
3. 3
4. x = 50 degree
5. 15 (Sorry I accidentally made the answer to five the answer to six, 15 is the right answer)
6. 10.408125
7. 240
8. -29
9. I think 1/4 but double-check.
10. $5.4
In the image above, what do the red arrows on lines mean?
Which table represents a function?
Answer:
The first one, there are no repeating x values
Step-by-step explanation:
To encourage recycling many states require a $.70 deposit or drink containers the total deposit di you pay depends on the number of containers N You by the function D =0.07N could be used to describe the situation if you deposit $1.40 how many containers do you buy?
Answer:
20 containers
Step-by-step explanation:
Given:
D = 0.07N
Where,
D = Amount of deposits
N = Number of containers
If D = $1.40 find N
D = 0.07N
1.40 = 0.07N
Divide both sides by 0.07
N = 1.40 / 0.07
= 20
N = 20 containers
if you deposit $1.40, you will buy a total of 20 containers.
which sutuation could be represented by -11
Answer:
You have no apples then loose 11 more
Step-by-step explanation:
Trust
What is the equation of the line described below written in slope-intercept form? the line passing through point (2,4), parallel to the line whose equation is y = x
A. y=x + 2
B. y = -x + 2
C. y=-X
Answer:
y = x + 2
Step-by-step explanation:
Look at the table. Bob ran 3 miles in 18 minutes. Complete the table:
Answer:
First one, Third one, Fifth one, and the last one too.
Step-by-step explanation:
Answer:
Step-by-step explanation:
First, make a ratio:
18 min/ 3mile = 6 min/mile
now multiply to finish the table:
1: 6
3: 18
5: 30
10: 60
25: 150
y - 1 = -4 (x + 1)
Please help thanks so much!
Answer:
[tex]y = - 4x - 3[/tex]
Step-by-step explanation:
[tex]y - 1 = - 4(x + 1) \\ y - 1 = - 4x - 4 \\ y = - 4x - 3[/tex]
Examine the operations above.
Al saves pennies. He agreed to give 3/7 of his pennies to Bev if she would give 3/7 of what she got from Al to Carl and if Carl in turn would give 3/7 of what he got from Bev to Dani. Bev, Carl, and Dani agreed and Dani received pennies. How many pennies did Al have initially
Answer:
2744
Step-by-step explanation:
Let Al had x pennies initially.
Al agreed to give 3/7 of his pennies to Bev if she would give 3/7 of what she got from Al to Carl and if Carl in turn would give 3/7 of what he got from Bev to Dani.
So, as per the given condition,
The number of Pennies received by Ben from Al [tex]= \frac{3}{7} x[/tex]
The number of Pennies received by Carl from Bev
[tex]=\frac{3}{7} \times \frac{3}{7} x=\frac{9}{49}x[/tex]
The number of Pennies received by Dani from Carl
[tex]= \frac{3}{7}\times \frac{9}{49}x=\frac{27}{343} x[/tex]
Now, as Dani received 216 Pennies, so
[tex]\frac{27}{343} x =216[/tex]
[tex]\Rightarrow \frac{216\times 343}{27}=2744.[/tex]
Hence, initially, Al had 2744 Pennies.
is this a function or not
Answer:
I believe it is
Step-by-step explanation:
None of the x and y values have the same number
Answer:
It is not the input 5 has 2 different output values, same as the input 3 it has more than one different output
Step-by-step explanation:
Hope this helps!
Write an expression that is equivalent to 5^-3
Answer:
1/125
Step-by-step explanation:
=1/5*5*5
=1/5^3
=1/125
Using exponent rules, when a number is raised to a negative exponent, change the exponent to positive and make a fraction with 1 as the numerator and the number as the denominator:
5^-3 = 1/(5^3)
PLEASE HELP ME! I am not sure how to answer this question.
Answer:
yes
Step-by-step explanation:
the diagnols are congruent meaning that the diagnol lines in the middle are the same length. So theoretically the left and right lengths are the same, and the top and bottom lengths are the same. The triagles named both have the same base and they're hieght is sbviouysly the same so they would be SSS each of the sides on one triangle coresspondes to the other.
Consider the equation and its solution. 8 (x minus 2) = 64. 8 x minus 16 = 64. 8 x = 80. X = 10. Which property is used in the last step to find that x = 10? Distributive property addition property of equality subtraction property of equality division property of equality
Answer:
Division property of equality
Step-by-step explanation:
Consider the equation and its solution. 8 (x minus 2) = 64.
8 x minus 16 = 64.
8 x = 80.
x = 10.
Which property is used in the last step to find that x = 10
The property used in the last step to find that x = 10 is called the DIVISION PROPERTY OF EQUALITY
The Division property of equality states that , when two sides of a quadratic equation are divide by the same integer that is greater than zero, both sides will be equal to one another
Let c be the integer greater than zero
ac = bc
Divide both sides by c
a = b
From the above question
8 x = 80
This is also written as:
8x = 8 × 10
Division property of equality
Divide both sides by 8
Hence,
x = 10
Answer:
division property of equality
Step-by-step explanation:
since the equation before our answer was a multiplication equation, you must counteract that with the division property of equality.
If on a scale drawing 240 feet
are represented by 10 inches,
then a scale of ¼ inch
represents how many feet?
Answer:
6 feet
Step-by-step explanation:
240 feet : 10 inches
24 feet : 1 inch
? feet : 1/4 inch
to get from 1 to a 1/4 you divide by 4, so you do 24 ÷ 4
24 ÷ 4 = 6
Answer:
6 ft
Step-by-step explanation:
First, make this visually understandable using a ratio:
240 ft = x ft
10 in [tex]\frac{1}{4}[/tex] in
To find the change between the inches,
1/4 ÷ 10 = 0.025
Use this same amount to find x ft:
240 (0.025) = 6
x = 6 ft
To double-check:
240/10 = 24
6/0.25 = 24
☺
Below is the augmented matrix using the standard form of a quadratic equation that can help you write the quadratic equation going through the 3 points: \large \text{(-1,11) } \large \text{(1,5)} and \large \text{(2,11)} Hint: standard form \large ax^2+bx+c=y
Answer:
1.23
Step-by-step explanation:
123
Determine the domain, range and whether each table represents a function.
==========================================================
Explanation:
The domain is the set of all possible x values. The range is the set of all possible y values.
Since we don't have any repeated x values, we have a function. Any given input x leads to exactly one y output value. Visually plotting the points leads to the graph passing the vertical line test, which shows the relation is a function.
Why is it that when comparing a squares area with a rectangles area, with the SAME PERIMETER, that the square has a greater area?
s = side length of square
4s = perimeter of square
L = length of rectangle
W = width of rectangle
P = 2L+2W = perimeter of rectangle
4s = 2L+2W .... since we want the perimeters the same
4s = 2(L+W)
s = 0.5(L+W)
s^2 = (0.5(L+W))^2 ... square both sides
s^2 = 0.25(L+W)^2
The last equation shows the area of the square, s^2, in terms of L and W. This way we can connect the square to the rectangle.
-----------------------------------
The area of the rectangle is LW
Let's subtract this from the area of the square and see what we get
A = area of square = s^2
B = area of rectangle = LW
C = difference in area
C = A - B
C = s^2 - LW
C = 0.25(L+W)^2 - LW
C = 0.25(L^2+2LW+W^2) - LW
C = 0.25L^2+0.5LW+0.25W^2-LW
C = 0.25L^2-0.5LW+0.25W^2
C = 0.25(L^2-2LW+W^2)
C = 0.25(L-W)^2
Regardless of what we pick for L and W, the expression (L-W)^2 is always positive. Squaring a negative number leads to a positive result.
So C is always positive as long as [tex]L \ne W[/tex]
If C > 0, and C = A - B, then
C > 0
A-B > 0 .... replace C with A-B
A > B .... add B to both sides
This shows the square area is always larger than the rectangle.
Again this only works if L and W are different values. If L = W, then the argument falls apart because the rectangle becomes the square.
We make [tex]L \ne W[/tex] to have a nonsquare rectangle.
I need help with this please
lx+ 11 l< 17
Answer:
x<6 should be the correct answer
Jill is building a wooden raised bed garden for her vegetable she wants the frame to have dimension X feet by X +3 feet if she wants the garden to have a maximum area of 50 ft.² what are the possible values of X
Answer: 0ft < X ≤ 5.73ft
Step-by-step explanation:
In this case, we have a rectangle.
For a rectangle of length L and width W, the area is:
A = L*W.
And we have:
L = X
W = X + 3ft.
Then the area will be:
A = X*(X + 3ft) = X^2 + 3ft*X.
And we want to have a maximum area of 50ft^2.
Then we can write:
A = X^2 + 3ft*X ≤ 50ft^2
Now let's solve this for X.
Now, the first thing we can see is that both coefficients in our quadratic equation are positive, so as the absolute value of X increases, also does the whole equation.
Then makes sense start for the upper limit of X, this is when:
X^2 + 3ft*X = 50ft^2.
Now we can solve the quadratic equation:
X^2 + 3ft*X - 50ft^2 = 0
Applying the Bhaskara formula, the solutions are:
[tex]X = \frac{-3ft +- \sqrt{(3ft)^2 - 4*1*(-50ft^2)} }{2} = \frac{-3ft +-14.46ft }{2}[/tex]
Then we have two solutions:
X = (-3ft - 14.46ft)/2 = -8.73 ft.
X = (-3ft + 14.46ft)/2 = 5.73 ft
Because X represents a distance, it can only be positive, then we must select the option X = 5.73ft.
This is the maximum value of X, and we will have:
0ft < X ≤ 5.73ft
Where the lower limit is there because we can not have X = 0ft, as this does not have physical meaning.
The City Zoo feeds its three giant pandas 181.5 pounds of bamboo shoots every day. Each panda is fed the same amount of bamboo. How many pounds of bamboo does each panda eat every day?
Group of answer choices
605 pounds
61.5 pounds
60.5 pounds
6.05 pounds
Answer:
60.5 pounds
Step-by-step explanation:
The total amount of pound is 181.5
And there are three pandas.
So 181.5 divide by 3 is 60.5
Jose is saving for a new bike. He already has $125. If he saves
$25 of his allowance per week, how many weeks must he wait
to save at least $600 to cover tax and delivery fees?
Answer: 19 weeks.
Step-by-step explanation: 600 - 125 = 475. This means he needs to save $475 more. 475 divided by 25 is 19. So the answer is he must wait 19 more weeks.
Answer:
19 weeks
Step-by-step explanation:
600=25x+125
x=19
Find the measure of the labeled angles
Answer:
x would equal 23, so (x+92) would equal 115°, & (5x) would equal 115°.