Complete Question:
The expression 16t² represents the distance in feet an object falls after t seconds. The object is dropped from a height of 906 feet. What is the height in feet of the object 2 seconds after it is dropped?
Answer:
H(2) = 842 feet
Step-by-step explanation:
Let the height be H.
Given the following data;
H(t) = 16t²
Height, H = 906 feet
Time, t = 2 seconds
To find the time, t at 2 seconds, we would use the following formula;
H(t) = H - 16t²
H(2) = 906 - 16(2)²
H(2) = 906 - 16*4
H(2) = 906 - 64
H(2) = 842 feet
Therefore, the height in feet of the object 2 seconds after it is dropped is 842.
Which of the following properties is always true for a parallelogram? *
Diagonals bisect each other.
Diagonals are perpendicular.
Diagonals are congruent.
Diagonals biscect opposite angles.
Answer:
Diagonals bisect each other
a certain book has 396 pages the student has already read 3/8 of the pages and now picks up the book again at time x=0 minutes write the equation that describes the total number of pages of the book read as a function of the number of minutes of further reading
Answer: https://brainly.com/question/22630516?answering=true&answeringSource=feedPublic%2FhomePage%2F1
Step-by-step explanation: I hope this helps pls mark branily
Write an equation in slope-intercept form (y = mx + b) , that perpendicular to y = 2x - 4 that passes through the point (3, - 3) .
Answer:
Step-by-step explanation:
perp. -1/2
y + 3 = -1/2(x - 3)
y + 6/2 = -1/2x + 3/2
y = -1/2x - 3/2
is it a function? and explain briefly why
Answer:
No
Step-by-step explanation:
Each output can only have one input
Solve for h.
-4h - 10 = 10 - 9h
h = |
Nichole's rotating sprinkler waters her lawn up to a radius of 7 feet. What is the maximum number of square feet of lawn Nichole can expect the sprinkler to cover?
Answer:
153.9 ft²
Step-by-step explanation:
Given that:
Radius of circular lawn = 7 feets
To obtain the maximum number of square feet of lawn Nichole can expect the sprinkler to cover ; find the area of the lawn
Area of a circle, A = πr²
A = π * 7 * 7
A = 153.93804
A = 153.9 ft²
is 0.24 greater than 0.42?
Answer:
yes it is greater
Step-by-step explanation:
Do not factor by grouping. Solve 2(x-2)^1/3=x+2
Step-by-step explanation:
2(x-2)⅓=x+2
so we first cube each side,such that...
(2(x-2))⅓•³=(x+2)³
we get...
2(x-2)=(x+2)³
expanding...
2x-4=x³+6x²+12x+8
grouping....
x³+6x²+12x+8-2x+4=0
solving...
x³+6x²+10x+12=0
now you can use you calculator to solve for the possible values of x
I hope this will help
help please what is the domain and range of S
S={(0,-2), (5,3), (-3,5), (1,1)}
Answer:
Domain: {0,5,−3,1}
Range: {2,3,5,1}
Step-by-step explanation:
Find the GCF. Show work
Answer:The greatest common factors
Step-by-step explanation:
GCF of 18 : 27 , 9
GCF of 36 : 36 GCF of 27 : 9
GCF of 54 : 18
GCF of 12 : 3
GCF of 24 : 3
GCF of 40 : 40
I NEED HELP ASAP!!!!!!!!
I don't know how to do these 3 circled problems. can you do it step by step?
please help!!!! will mark brainlest
Answer:
16.59
Step-by-step explanation:
πr^2/2
radius is 6.5/2 = 3.25
πx3.25x3.25/2= 16.59
please help me ill mark you brainliest and please show your work :)
Answer:
12
Step-by-step explanation:
Multiply both sides of the equation by 8/5.
4x-16=32
Move 16 to the other side
4x=32+16
add numbers on the right side
4x=48
divide both sides by 4
x=12
re-grouping strategy for solving 57 x 18?
Answer:
1026
Step-by-step explanation:
I would do 50 x 18 and then do 7 x 8... then add the two results...
PLEASE HELP! :) IMAGE IS BELOW!! QUESTION: Describe a series of transformations that will transform ∆ABC to ∆A'B'C'.
Answer:
Dilation and translation.
Hope that helps!
Step-by-step explanation:
PLZ HELP IF CORECT WILL GIVE BRAINLIST
Answer:
65 meters
Step-by-step explanation:
you add all the side/numbers together
who uses y=mx+b in School
Quick answer please!
Which set of three numbers can be used to make a right triangle?
Group of answer choices
4, 5, 6
3, 4, 5
5, 6, 7
Answer:
3, 4, 5
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]3^{2} + 4^{2} = 5^{2}[/tex]
9+16=25
25=25
Determine whether the following sequences are arithmetic. If so, identify the common
difference.
9, 15, 21, 27, ...
Answer:
Yes the sequence is arithmetic
The common difference is 6
Step-by-step explanation:
Determine whether the following sequences are arithmetic. If so, identify the common difference.
9, 15, 21, 27, ...
The sequence given in the above question is arithmetic because it follows the formula
Un = a + (n -1)d
Where
a= First term
n = Number of terms
d = Common difference
The common difference is calculated as the
Second term - First term
15 - 9
= 6
or the Third term - Second term
21 - 15
= 6
or the Fourth term - Third term
= 27 - 21
= 6
Therefore, the Common difference = 6
The value of x for the system is 1. What is the value of y?*
1 point
3x + y = 9
y = -4x + 10
1. Substitute the value of y in the first equation:
2. Combine like terms:
3. Apply the subtraction property of equality:
4. Apply the division property of equality:
3x + (-4x + 10) = 9
-x+ 10 = 9
-X = -1
x = 1
O y = 14
O y = 12
O y = 6
O y=3
When loesolved
system lisin
bstitution bet7
TA
What is the circumference of the circle? Use 3.14 for Pi.
Answer: Could we see the circle we need to find the circumference for?
Step-by-step explanation:
Which expressions are equivalent to 4m + 12? Choose all that apply. Whoever answers fastest, I’ll mark the Brainliest!
Answer: 1st and 3rd
Step-by-step explanation:
Answer:
third one
Step-by-step explanation:
6m-2m =4m
Hence 4m+12
A town's population went from 40,000 to 50,000. What was the percent of change in the population?
Find the arc length of the partial circle.
Answer:
12.42 units
Step by step explanation:
Given,
length of the radius = 2 units
Therefore, arc length of the complete circle = 2 × 3.14 × 2 units = 12.56 units
Therefore, arc length of the partial circle = 3/4 × 12.56 units
= 12.42 units
The equation below can be used to find how much Julie took to the mall (d), in dollars.
d - $44.00 = $22.00
How much did Julie take to the mall?
$968.00
$2.00
$66.00
$22.00
Answer:
$22.00
Step-by-step explanation:
the reason it's 22 dollars is because you take away 44 - 22 and it's 22
Avante walked 1 and 1/2 miles in 22.5 minutes. Avante walked at a constant rate. How long did it take him to walk 1 mile?
1. Prove that the product of the second and third numbers out of four consecutive whole numbers is two greater than the product of the first and the fourth numbers.
2. Prove that the square of the second number out of three consecutive odd numbers is four greater than the product of the first and third numbers.
Answer:
1.
(x+1)(x+2)>x(x+3)
x^2+2x+x+2>x^2+3x
x^2+3x+2>x+3x
2>0
2.
(x+2)^2>x(x+4)
x^2+4x+4>x^2+4x
4>0
Step-by-step explanation:
1.
Suppose x is the lowest number in the set of 4 consecutive numbers, then x+1, x+2, and x+3 are then the next numbers in the sequence since they are the next whole numbers.
Then, to follow the conditions of the problem, we make the equation:
(x+1)(x+2)>x(x+3)
Using the formula of (a+b)(c+d)=ac+ad+bc+bd, we can expand both sides of the equation into this:
x^2+2x+x+2>x^2+3x
=x^2+3x+2>x^2+3x
We can then cancel x^2+2x from both sides and we are left with 2>0.
2.
Again, suppose x is the lowest value in the set of consecutive numbers. In this case, odd numbers increase by 2 each time so the series of numbers are:
x, x+2, x+4
Therefore, to follow the conditions of the problem, we make the equation:
(x+2)^2>x(x+4)=
(x+2)(x+2)>x(x+4)
Using the same formula of (a+b)(c+d)=ac+ad+bc+bd, we get:
x^2+4x+4>x^2+4x
Cancel x^2+4x from both sides and we are left with 4>0
Hope this helps!
Car survey in a survey of 1200 people who owned a certain type of car,600 said they would buy that type of car again.What percent of people surveyed were satisfied with the car?
Answer:
50 percent
Step-by-step explanation:
Total number of people in this car survey = 1200
Total number of people who they would still buy same car type = 600 (these are the satisfied people)
The percentage = 600/1200 x 100
= 0.5 x 100
= 50 percent
So the percentage of satisfied people who would buy this type of car again is 50%
