Answer:
The required equation is:
d = 81tf(t) = 81tStep-by-step explanation:
We know that
distance = rate × t
Given that a car moving at a constant speed passed a timing device at t=0.
In other words, at t = 0 second, d = 0 ft.
After 7 seconds, the car has traveled 567 ft.
In other words, at t = 7 seconds, d = 567 ft
Thus, there are two points
(0, 0)
(7, 567)
Finding the slope between (0, 0) and (7, 567)
Using the formula
Slope = Rate of change = [y₂-y₁] / [x₂-x₁]
= [567 - 0] / [7-0]
= 567 / 7
= 81 ft/second
Given that the car is moving at constant speed. So, we dont't have any other factor or term to consider
Thus, the required equation is:
distance = rate × t
d = 81 × t
d = 81t
or
f(t) = 81t
VERIFICATION
Given the equation
d = 81 × t
Put t = 0 to find the disatance in 1 sec
d = 81 × (0) = 0 ft
Put t = 7 to find the distance in 7 seconds
d = 81 × (7) = 567 ft
Plz help I am desperate lol
Question # 7
Given two points
(0, 0)(3, 3)Determining the slope of the line passing through the points (0, 0) and (3, 3)
(x₁, y₁) = (0, 0)
(x₂, y₂) = (3, 3)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [3 - 0] / [3 - 0]
= 3 / 3
= 1
Thus, the slope of the line = m = 1
Question # 8
Given two points
(1, 3)(5, 5)Determining the slope of the line passing through the points (1, 3) and (5, 5)
(x₁, y₁) = (1, 3)
(x₂, y₂) = (5, 5)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [5 - 3] / [5 - 1]
= 2/4
= 1/2
Thus, the slope of the line = m = 1/2
Question # 9
Given two points
(4, 4)(5, 3)Determining the slope of the line passing through the points (4, 4) and (5, 3)
(x₁, y₁) = (4, 4)
(x₂, y₂) = (5, 3)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [3 - 4] / [5 - 4]
= -1 / 1
= -1
Thus, the slope of the line = m = -1
How many rectangles do you get if you fold a paper 3 times.
You can fold your paper on one, two, or more folds, but only on the folds we've already made. You can't make any new folds.
25/4=25/2a =2b=c. A=. B=. C=. answer is 2,3,8
Answer:
Ohhh fancy Smart im not that smart LOL
Step-by-step explanation:
Have A Wonderful Day !!
You must determine the volume of air flowing through a duct. Begin by determining the area of the duct. (In a later step, you would multiply that value by the speed of
the air flowing through the duct to determine air volume.) The diameter of the round air duct is 16 inches. What is the area of its circular opening to the nearest whole
number?
The area of the circular opening is 16 square inches.
Answer:
4 i think
Step-by-step explanation:
The area of the circular opening is 201.14 sq.inches.
What is Area ?Area is the space occupied by any given surface in a two dimensional plane.
A circular duct has a diameter of 16 inches
Area of the circular opening is given by
πd²/4
d is the diameter of the circle
= (22/7) * (16)²/4
= 201.14 sq.inches
Therefore the area of the circular opening is 201.14 sq.inches.
To know more about Area
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what 1x0 -p1s yyyyrr
Answer:
87
Step-by-step explanation:
1x0=97x1x0xratio=87
Find the equation of the line which passes through (2,4) with a slope of 1/2
Answer: the answer is y=1/2x+3
Step-by-step explanation:
Hopes this helps !! Message me if explanation is needed !!!
The equation of the line which passes through (2,4) with a slope of 1/2 is [tex]y = \frac{x}{2} +3[/tex].
What is a slope-intercept form?Y = mx + b is the slope-intercept form of the equation of a straight line. In the equation y = mx + b, m is the slope of the line and b is the intercept. X and y represent the distance of the line from x-axis and y-axis, respectively. The value of b is equal to y when x = 0, and m shows how steep the line is.
Given
Slope m = 1/2
Point (x, y) = (2, 4)
Equation of line which passes through a point (x, y) with a slope of m is
y = mx + b
Substitute the values
⇒ [tex]4=\frac{1}{2}(2)+b[/tex]
⇒ 4 = 1 + b
⇒ b = 4 - 1
⇒ b = 3
Substitute m = 1/2 and b = 3 in equation (1)
[tex]y = \frac{1}{2}(x) +3[/tex]
⇒ [tex]y = \frac{x}{2} +3[/tex]
Hence, the equation of the line which passes through (2,4) with a slope of 1/2 is [tex]y = \frac{x}{2} +3[/tex].
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Anyone know the answer?!
Answer:
A.
Step-by-step explanation:
4x-(-5x)=9x
-6y-2y=-8y
13-5=8
So, the answer is 9x+8y=8
(hope this helps!)
What is the domain of this relation?
Answer:
{-3, 3, 5, 9}
Step-by-step explanation:
The domain is simply the inputs (x) used in the function.
Answer:
{-3,3,5,9} this is answer
1 cubic meter =___ million cubic cm
S = 6t² + 3t + 7, 0 ≤ t ≤ 2 Find the body's displacement and average velocity for the given time interval. A) 30 m, 30 m/sec B) 44 m, 22 m/s C) 18 m / sec , 27 m /sec D) 30 m / sec , 15 m /sec
Answer:
30m, 24m/s
Step-by-step explanation:
Given the expression for the position of the object expressed as:
S = 6t² + 3t + 7,
At t = 0
S0 = 6(0)²+3(0)+7
S0 = 0+0+7
S(0) = 7m
At t = 2
S2 = 6(2)² + 3(2)+ 7
S2 = 6(4)+6+7
S2 = 24+13
S2 = 37
The displacement = S2-S0 = 37-7= 30m
For the velocity
V = dS/dt = 12t+3
At t = 0
V0 = 12(0)+3
V0 = 3
At t= 2
V2 = 12(2)+3
V2 = 24+3
V2 =27
The velocity will be V2-V0 = 27-3 = 24m/s
Simplify the expression:
9k+3k+8k
Answer:
20k
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/Coefficients/DegreesStep-by-step explanation:
Step 1: Define
9k + 3k + 8k
Step 2: Simplify
Combine like terms (Add k): 12k + 8kCombine like terms (Add k): 20kFinal Answer: [tex]20k[/tex]
Steps/Reasons/Explanation:
Because they are all one variable, you can just add them up.
Question: Simplify the expression: [tex]9k+3k+8k[/tex].
Step 1: Addition.
[tex]20k[/tex]
~I hope I helped you :)~
Please ✨help✨ I need this as soon as possible
Answer:
Its false babe
Answer:
The ratios does not for a proportion.
Step-by-step explanation:
☆When
[tex] \frac{18}{54} [/tex]
is simplified, it simplifies to:
[tex] \frac{14}{9} \: not \: \frac{16}{9} [/tex]
☆And you could also figure it out doing proportion.
[tex] \frac{18}{54} ≠ \frac{16}{6} \\ \\ 864≠756[/tex]
A sporting goods store sells right-handed and left-handed baseball gloves. In one month, 12 gloves were sold for a total revenue of $561. Right-handed gloves cost $45 and left-handed gloves cost $52. How much of each type of gloves did they sell
Answer:
[tex]9[/tex] right-handed gloves and [tex]3[/tex] left-handed gloves were sold.
Step-by-step explanation:
Given: In one month, [tex]12[/tex] gloves were sold for a total revenue of [tex]\$561[/tex].
right-handed gloves cost [tex]\$45[/tex] and left-handed gloves cost [tex]\$52[/tex].
To find: How much of each type of gloves did they sell?
Solution: Let they sell [tex]x[/tex] right-handed gloves, and [tex]y[/tex] left-handed gloves.
Now, cost of each right-handed gloves [tex]=\$45[/tex]
cost of each left-handed gloves [tex]=\$52[/tex]
Total revenue [tex]=\$561[/tex]
So, we get
[tex]45x+52y=561\:\:\:...(i)[/tex]
Also, in a month [tex]12[/tex] gloves were sold.
So, we get
[tex]x+y=12\:\:\:...(ii)[/tex]
Now, from [tex](ii)[/tex] we get, [tex]x=12-y[/tex].
Putting [tex]x=12-y[/tex] in equation [tex](i)[/tex], we get
[tex]45(12-y)+52y=561[/tex]
[tex]\implies 540-45y+52y=561[/tex]
[tex]\implies7y=561-540[/tex]
[tex]\implies7y=21[/tex]
[tex]\implies y=\frac{21}{7}[/tex]
[tex]\implies y=3[/tex]
Now, putting [tex]y=3[/tex] in equation [tex](ii)[/tex], we get
[tex]x+3=12[/tex]
[tex]\implies x=12-3[/tex]
[tex]\implies x=9[/tex]
Hence, [tex]9[/tex] right-handed gloves and [tex]3[/tex] left-handed gloves were sold.
I am timed here! Please help! Answer only if you know the question. Else please don't.
What is the value of [3.6]
A: 3
B: 3.5
C: 3.6
D: 4
Answer: 3
Step-by-step explanation: [ 3.6 ] represents the greatest integer function [ x ]
If x is an integer use that integer
If x is not an integer use the next smaller integer
[ 3.6 ] is not an integer, hence
[ 3.6 ] = 3
What is the slope intercept in equation y = x-4
Answer:
Y = x - 4
Step-by-step explanation:
it’s already in y = Mx + b form
brianna bought a computer game for $36 with a coupon for %25 off, How much would it cost without the coupon
Please help.. :(
This is confusing
Answer:
x² + 4x + 9
Step-by-step explanation:
This is just adding like terms (Adding x²'s to each other, adding x's to each other, etc.)
3x² - 2x² = x²
-x + 5x = 4x
7 + 2 = 9
So all together its x² + 4x + 9.
Need help please look
Answer:
The area is 285.1 mi^2
Step-by-step explanation:
Here, we want to find the area of the larger sector
Mathematically, that would be;
theta/360 * pi * r^2
= 270/360 * 3.142 * 11^2
= 285.1 mi^2
bob is twice as old as ralph. three years ago the sum of their ages was 45. what are their ages now?
answer using a let statement
Answer:
Were they both 45? I'm kinda confused on that part, but I think Ralph would be 48 and Bob would be 50
Step-by-step explanation:
Answer:
34 and 17
Step-by-step explanation:
Bob = B
Ralph = R
B=2R
B-3+R-3=45
B+R-6=45
+6 +6
B+R=51
Substitute B for 2R
2R+R=51
3R=51
R=17
2(17)=34
so B is 34 and R is 17
What is the scale factor of 8 and 13 ?
Answer: The answer will most likely be 1
In which quadrant does the point (10 , 25) lie?
Answer:
In quadrant 1
Step-by-step explanation:
Quadrant 1 is (positive, positive) which falls in the category (10,25)
Answer:
quadrant 1
Step-by-step explanation:
2 positives lie in quadrant 1, 2 negatives lie in quadrant 3, positive x and negative y lie in quadrant 4, and negative x and positive y lie in quadrant 2.
Hope this helps :D
A helicopter is 105 ft. above sea level, while a submarine is directly underneath the helicopter and has a position of 62 ft. below sea level. Which expression will correctly calculate the distance between the helicopter and the submarine?
I think of a number. I subtract 4,then divide by 5. The result equals 15.
a) Write this information in the form of an equation.
b) Solve the equation to find the number I was thinking of.
Answer:
a) (X - 4)x 5 = 15
b) the answer is 7
Step-by-step explanation:
divide 15 by 5 and then add 4, do the equasion backwards :)
The solution of the given equation (X - 4)x 5 = 15 would be equal to 7.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Now we will try solving it first using the method of substitution in which we express one variable in other variable's form and then you can substitute this value in other equation to get linear equation in one variable.
We are given that a number subtract 4, then divide by 5. The result equals 15.
a) The equation form as
(X - 4)x 5 = 15
b) Now solving the equation as;
(X - 4)x 5 = 15
5x - 20 = 15
x = 35/7
x = 7
Hence, the answer is 7
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Look at the triangle ABC.
Please help!
Answer:
√13
Step-by-step explanation:
Find the length AC and BC
AC=5-2
=3 (AC found in the y-axis so we substract the y values)
BC=4-2
=2 (BC found in the x-axis so we substract the x values)
then by using pythagoras we can find AB
AB^2=BC^2+AC^2
A triangle has angle measurements of 54°, 52°, and 74°. What kind of triangle is it?
Answer:
Acute triangle.
Step-by-step explanation:
Since all angles in the triangle is less than 90°, it is an acute triangle.
Is 30 a reasonable estimate of a quotient for 91,766 ÷ 288?
answer if you know please
Answer:
300 would be
Step-by-step explanation:
Answer:
No, around 300 would be reasonable.
Step-by-step explanation:
is 0.53 greater than 0.35
Answer:
Yes.
Pls mark brainliest. Thanks.
4.4/x = 14.3/(1/3)
every / is a fraction...
so its 4.4 over x, and 14.3 over 1/3. what is the value of x
Answer:
.103
Step-by-step explanation:
14.3 ÷ 1/3 = 14.3 x 3 = 42.9
[tex]\frac{4.4}{x}[/tex] = 42.9
42.9x = 4.4
x = 4.4 ÷ 42.9
Solve for x : 8x = 96
Answer:
x=12
Step-by-step explanation:
8x=96
8x/8=96/8
x=12
Hope this helps!
Solve for d.
2 = 2(d - 7)
Answer:
should be 6to make is one so you can multiply it by 1 to get the same number
Step-by-step explanation:
Answer:
D = 8
Step-by-step explanation:
distribute
2 = 2d - 14
add 14 to both side
16 = 2d
divide both sides by 2
8 = d
d = 8
can I get brainliest ?