Answer: 5 Seconds
Step-by-step explanation: Given the equation of the height expressed ad;
h(t) = - 16t^2 + initial height
Given that initial height = 400feet
h(t) = - 16t^2 + 400
The waste will hit the ground at when h(t) = 0
substitute
0 = - 16t^2 + 400
16t^2 = 400
t² = 400/16
t² = 25
t = √25
t = 5secs
The Park Protectors is a group of elementary students and teachers from 3232 schools who pick up trash at local parks. The line plot shows the tons of trash they picked up this year.
Answer:
[tex]Each = \frac{15}{128}[/tex]
Step-by-step explanation:
Given
See attachment for line plot
Required
Determine the total trash picked
The data on the line plot can be represented as:
[tex]Trash \to Schools[/tex]
[tex]\frac{1}{8} \to 6[/tex]
[tex]\frac{1}{4} \to 8[/tex]
[tex]\frac{1}{2} \to 2[/tex]
[tex]1 \to 0[/tex]
The total trash picked is:
[tex]Total = \frac{1}{8} * 6 + \frac{1}{4} * 8 + \frac{1}{2} * 2 + 1 * 0[/tex]
[tex]Total = \frac{3}{4} + \frac{8}{4} + 1+0[/tex]
Take LCM
[tex]Total = \frac{3+8+4+0}{4}[/tex]
[tex]Total = \frac{15}{4}[/tex]
The total picked by each school is:
[tex]Each = \frac{Total}{32}[/tex]
[tex]Each = \frac{15/4}{32}[/tex]
Rewrite as:
[tex]Each = \frac{15}{4*32}[/tex]
[tex]Each = \frac{15}{128}[/tex]
How much of a radioactive kind of xenon will be left after 15 days if the half-life is 5 days and
you start with 96 grams
Answer:
12 grams
Step-by-step explanation:
15/5 = 3 half lives
(1/2)³ = 1/8 of the original amount will remain
96 * 1/8 = 12 grams
Answer:
Step-by-step explanation:
Radioactive decay problems are very similar to compound interest formulas, except the rate is subtracted from one, instead of adding to one.
I.e.
mass at time t, m(t) = M (1 - r)^(t/h)
where
M = initial mass (grams)
m (t) mass left at time t (grams)
h = half-life in number of days
r = 0.5 from "half-life"
t = time lapse in number of days
Here
M = 96
h = 5
t = 15
m(15) = 96(1-0.5)^(15/5)
= 96 (1/2)^3
= 12 grams
Which equation is quadratic in form?
a.6(x + 2)2 + 8x + 2 + 1 = 0
b.6x4 + 7x2 – 3 = 0
c.5x6 + x4 + 12 = 0
d.x9 + x3 – 10 = 0
Answer:
d. x9 + x3 – 10 = 0
what is the answer to 7m-6,m=8
Answer:
50
Step-by-step explanation:
When given the following equation, and information,
7m - 6
m = 8
One must substitute the value of (m) into the equaiton. Then simplify and solve to evaluate the equation,
7m - 6
7(8) - 6
56 - 6
50
Answer:
50
Step-by-step explanation:
7m-6
Let m= 8
7(8) -6
Multiply first
56-6
Then subtract
50
MATH HELP FAST PLEASE
Answer:
Angle 1 and Angle 2
Step-by-step explanation:
Adjacent supplement angles are a pair of angles that have a sum of 180 degrees and are adjacent to each other
Answer:
not sure look at the image please
Darcy harvests 8.3/4 acres of corn every 5/6 end fraction of an hour. Darcy harvests corn at a constant rate. How many acres does she harvest per hour?
Given:
Darcy harvests [tex]8\dfrac{3}{4}[/tex] acres of corn every [tex]\dfrac{5}{6}[/tex] of an hour.
Darcy harvests corn at a constant rate.
To find:
How many acres does she harvest per hour?
Solution:
We have,
Acres harvest in [tex]\dfrac{5}{6}[/tex] of an hours = [tex]8\dfrac{3}{4}[/tex]
Acres harvest in 1 hour = [tex]8\dfrac{3}{4}\times \dfrac{6}{5}[/tex]
= [tex]\dfrac{32+3}{4}\times \dfrac{6}{5}[/tex]
= [tex]\dfrac{35}{4}\times \dfrac{6}{5}[/tex]
Cancel out the common factors, we get
Acres harvest in 1 hour = [tex]\dfrac{7}{2}\times \dfrac{3}{1}[/tex]
= [tex]\dfrac{21}{2}[/tex]
= [tex]10\dfrac{1}{2}[/tex]
Therefore, she can harvest [tex]10\dfrac{1}{2}[/tex] acres of corn per hour.
-2 1/4 divided by (3 1/3) =
The following is a parallelogram solve for the variables
Answer:
x = 51, y = 17
Step-by-step explanation:
Consecutive angles sum to 180° , so
x + 129 = 180 ( subtract 129 from both sides )
x = 51
-------------------------------------
Opposite angles are congruent, so
3y = x = 51 ( divide both sides by 3 )
y = 17
Step-by-step explanation:
x + 129° = 180°
x = 180°- 129°
x = 51°
3y + 129° = 180°
3y = 180° - 129°
3y = 51°
y = 51°/3
y = 17°
Assignment is due soon!
Use sin -1, cos -1 or tan -1 to find the measure of
please help me!!!! i really need help!!! THANK YOU
explain how you got your answer = brainliest
Answer:
8.481 ft² . I don't know if this is simplest form or not, but hopefully it is.
Step-by-step explanation:
How im going to do it is crafty, if i get it wrong im sorry.
Area circle = πr²
Area circle = 3.14 * 9 ≈ 28.27
28.27 / 360 = 0.07852777777
0.07852.777777 x 108 = 8.481
Answer = 8.481 ft²
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
On a coordinate plane, a line goes through points (negative 2, 1) and (0, negative 3). Y = negative StartFraction 2 Over 9 EndFraction x + 2.
Two separate linear functions are expressed by the graph and by the equation. Select all that apply.
The slope is negative for both functions.
The equation has a steeper slope than the line in the graph.
The slope of the line in the graph is -2.
The graph and the equation express an equivalent function
Answer:Using the formula for the area of the composite shape, Area of composite shape = Area of rectangle + area of the square. ⇒ Area of composite shape = 14+9 = 23 square inches.
Step-by-step explanation:
Answer:
Using the formula for the area of the composite shape, Area of composite shape = Area of rectangle + area of the square. ⇒ Area of composite shape = 14+9 = 23 square inches.
Step-by-step explanation:
got it right on the quiz!!!
Two containers are used to hold liquid. These containers have exactly the same shape. The first container has a height of , and it can hold of liquid. If the second container has a height of , how much liquid can it hold?
The second container can hold (1000/3) x h2 cubic centimeters of liquid.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
We can use the concept of similar shapes to solve this problem.
Since the two containers have exactly the same shape, the ratio of their corresponding dimensions (height, width, and length) will be the same. Let's denote the height of the second container by h2.
Now,
The first container has a height of h1 and can hold v1 units of liquid.
Since the containers have the same shape, the ratio of their heights will be the same as the ratio of their volumes.
So,
h2/h1 = (volume of container 2) / (volume of container 1)
Solving for the volume of container 2.
(volume of container 2) = (h2/h1) x (volume of container 1)
Substituting the given values, we get:
(volume of container 2) = (h2/3) x (1000)
where we have converted 1 liter to 1000 cubic centimeters.
Simplifying this expression.
(volume of container 2) = (1000/3) x h2
Therefore,
The second container can hold (1000/3) x h2 cubic centimeters of liquid.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
Bab needs help with mafs
Answer:
The 4th option
Segments BD and CE are axes of the ellipse below.
Which of the following reflective symmetries apply to the ellipse below?
Answer:
Yes and Yes
Step-by-step explanation:
If you fold them over on both sides then they overlap perfectly, therefore they are reflective.
If using the method of completing the square to solve the quadratic equation
x2 + 7x + 10 = 0, which number would have to be added to "complete the
square"?
Answer:
x² + 7x + 10 = 0
Subtract 10 from both sides
x² + 7x = -10
Use half the x coefficent (7/2) as the complete the square term
(x + 7/2)² = -10 + (7/2)²
note: the number added to "complete the square" is (7/2)² = 49/4
(x + 7/2)² = -10 + 49/4
(x + 7/2)² = 9/4
Take the square root of both sides
x + 7/2 = ±3/2
Subtract 7/2 from both sides
x = -7/2 ± 3/2
x = {-5, -2}
A line and its translated image are parallel because the distance between corresponding points of a figure and its translated image is the same at every point. How could you use that information to show that parallel lines have the same slope?
Answer:
Top right
Step-by-step explanation:
I did it before
Answer:
TOP RIGHT
Step-by-step explanation:
:)
does the equation define y as a function of x? y^2 = 7 - x^2
someone help please, giving brainlist to anyone who answers <3
Answer:
65 seats
Step-by-step explanation:
1. Approach
To answer this question, one has to find the rate at which seats are added to each row. Then one must find the number of seats in the first row. Using this information, one can form an equation to find out how many seats are in any given row when given the row number. Finally, one can substitute (20) into the equation to find out how many seats are in the row (20).
2.Find the rate at which seats are added
One is given the row number and the corresponding number of seats in the row. This information is presented in the formate ([tex]x,y[/tex]), as the following is,
(3, 31), (6, 37)
Where (x) is the row number and (y) is the number of seats.
To find the rate at which seats are added, one must solve for the rate of change. This can be done using the following formula,
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute in the given information and solve for the rate of change,
[tex]\frac{37-31}{6-3}[/tex]
Simplify,
[tex]\frac{37-31}{6-3}\\=\frac{6}{3}\\=2[/tex]
Seats are added at a rate of (2) seats per row.
3. Find the equation
The easiest way to write the equation of this situation is to use the equation of a line is in the slope-intercept form. This form is as follows,
[tex]y=mx+b[/tex]
Where (m) is the slope of the line and (b) is the (y-intercept). As one found in (step (2)) the slope of the line is (2). Substitute this into the equation,
[tex]y=2x+b[/tex]
One is given that (3, 31) is a part of this scenario, substitute this point into the equation and solve for the unknown,
[tex](31)=2(3)+b[/tex]
Simplify,
[tex]31 = 6+b[/tex]
Inverse operations,
[tex]31=6+b\\25=b[/tex]
Substitute this into the equation to complete the equation,
[tex]y=2x+25[/tex]
4.Find how many seats are in the row (20)
Now that one has the equation to find the number of seats where (x) represents the row number and (y) represents the number of seats. Substitute in the row number (20) to solve to find the number of seats in the row.
[tex]y=2x+25[/tex]
[tex]y=2(20)+25[/tex]
Simplify,
[tex]y=2(20)+25\\y=40+25\\y=65[/tex]
Simplify: {36 ÷ (-9)} ÷ {(-24) ÷ 6)
Answer:
1
Step-by-step explanation:
{36 ÷ (-9)} ÷ {(-24) ÷ 6}
= (-4) ÷ (-4)
= 1
Answer:
1
Step-by-step explanation:
{36 ÷(-9)} ÷ {(-24) ÷ 6)
{36 ÷ -9} ÷ {-24 ÷ 6}
(-4) ÷ (-4)
1
using BODMAS rule (Bracket 0f Division , Multiplication and Addition , Subtraction)
Rule
first small bracket ( ) must be solved
then curly bracket { }
then only big bracket [ ]
remebere while dividing -4 and -4 along with the numbers - signs also gets cancel. So ur answer is positive.
Kevin drew a diagonal inside a quadrilateral. He realizes the it always make 2 congruent isosceles triangleso. What kind of quadrilateral did Kevin use to draw the triangles ?
Answer:
The square is the quadrilateral.
Step-by-step explanation:
A quadrilateral is a 2 dimensional geometric shape. It has four sides which may be or may not be equal.
If a quadrilateral is a square and we make its diagonal so that we get two triangles.
These two triangles are isosceles triangle as the two sides are equal and the square has four equal sides and the triangles are congruent to each other.
here, the triangles ABC and ADC are congruent and isosceles.
26. Find the volume of a ball with a radius of 7 cm.
Answer:
Step-by-step explanation:
The formula for the volume of a sphere is
v= 4/3πr³
the radius is given as 7, so the volume is 4/3 × π × 7³
v= 4/3 × π × 343
= 1436.76 cm³
Given the inequality, select all the values of x that make that inequality true 3(2k-1)<9 0 1 2 3 4
Answer:
We have the inequality:
3*(2*x - 1) < 9
Where the given options are:
0, 1, 2, 3, 4
(you wrote k instead of x, but before you wrote "select all the values of x that make that inequality true", then I assume that the variable is x instead of k).
Again, let's start with the inequality:
3*(2*x - 1) < 9
and let's isolate the variable x.
(2*x - 1) < 9/3 = 3
(2*x - 1) < 3
2*x < 3 + 1 = 4
2*x < 4
x < 4/2
x < 2
Then all the values of x that are strictly smaller than 2 make the inequality true.
From the given options (0, 1, 2, 3, 4) the two that make the inequality true are:
x = 0
and
x = 1.
I’m stuck on this question plz help
Answer:
3(n-8)
Step-by-step explanation:
Can you please help me with this?
Which of the following angles are co-terminal with −46°?
a)674°
b)406°
c)134°
d)226°
Point M is located at 6,7).
y
9-
А
8+
7+
B В
6
5-
4-
3
2+
2
.
1
1
a
2 3 4
5
6
7
8 9
What is located 3 units from point M?
pls need help... brainliest :))
Answer:
I am not the best in this type of math, the best thing I can do is help you.
You see that there is a pattern in the chart? X adds 2 every column, and Y adds 4 every column.
I believe the slope simplified is 2/1, if you are following y/x. If not, then the other way around.
Unfortunately, I can't help you with the rest of the problem, but I hope you can get a good idea of what your supposed to do.
Have a good day.
Find the volume of the cone. round your answer to the nearest tenth.
Answer:
18 and if I round it off to the nearest tenth it will be 20
just so you know I'm not that good at maths
what is the bast estimation of mean for this data set
Answer:
mean = adding up all the numbers then divid by number of numbers
Step-by-step explanation:
I.e 2 5 7 9 7 add up = 30
30 ÷ 5 = 6 so 6 is the mode