The average speed in feet per hour will be;
⇒ 942.85 feet per hour
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;
Distance = 22 inches
Time = 7 seconds
Now,
Since, A tortoise moves at a speed of 22 inches in 7 seconds.
Hence, Distance = 22/12 feet
And, Time = 7 / 3600
Thus, The average speed = (22/12) / (7/3600)
= 22 × 3600 / 12 × 7
= 942.85 feet per hour
Therefore, The average speed in feet per hour will be;
⇒ 942.85 feet per hour
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When a stone is dropped from a height, the time taken to fall, t, is proportional to the square root of the distance fallen, d.
Write down a formula, using k, connecting the time taken to fall and the distance traveled.
Step-by-step explanation:
We know that in kinematics we can write the formula for uniformly accelerated bodies:
s = 1/2 a t^2 + v0 t + s0
In our case s0 (initial deployment) = 0m and v0 (initial velocity) = 0
So:
s = 1/2 a t^2
Now we isolate t:
t = [tex]\sqrt[2]{\frac{2s}{a} }[/tex]
All proportionalities are obvious.
Note: I forgot to say that a, the acceleration, is the gravitational acceleration. It can be g or -g depending on how you'll choose the reference system.
At a theater, adult tickets for a play cost $15 each and child tickets cost $10 each. If 300 tickets were sold and the sale of the tickets generated between $3575 and $3500, inclusive, what is a possible number of child tickets that were sold?
please help
Answer:
Answer: 375 adult tickets were sold and 125 children tickets were sold.
3(x+2)+5x how do i simplify that expression?
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3. Amy raises $58.75 to participate in a walk-a-thon.
Jeremy raises $23.25 more than Amy. Oscar raises 3
times as much as Jeremy. How much money does
Oscar raise?
Company
Simplify the expression. Write your answer as a power. 7^5•7^3/7^2
[tex]7^5 \cdot \dfrac{7^3}{7^2}\\\\=7^5 \cdot 7^{3-2}\\\\=7^5 \cdot 7^1 \\\\=7^{5+1}\\\\=7^6[/tex]
What are the possible numbers of positive, negative, and complex zeros of f(x) = −3x4 + 5x3 − x2 + 8x + 4? (1 point)
Answer:
Using Descartes' Rule of Signs, we observe whether each consecutive term has a + or - sign:
f(x) = 3x4 − 5x3 − x2 − 8x + 4
Signs are: + - - - +
There are 2 sign changes (from +3 to -5, then from -8 to +4). This means that there are either 2 or 0 positive roots. (We take the number of sign changes, which is 2, and subtract by 2s to get all possible numbers of positive roots.)
For negative roots, we first invert all the odd-powered terms in f(x):
3x4 + 5x3 − x2 + 8x + 4
Signs are: + + - + +
There are 2 sign changes, from +5 to -1, and from -1 to +8. Therefore, there are either 2 or 0 negative roots.
Since the overall degree of f(x) is 4, the total number of roots must sum up to 4. There are either 2 or 0 positive roots, and 2 or 0 negative roots, and everything that remains will be a complex root. The possibilities are:
2 positive, 2 negative, 0 complex
2 positive, 0 negative, 2 complex
0 positive, 2 negative, 2 complex
0 positive, 0 negative, 4 complex.
Therefore we can have either 0, 2, or 4 complex roots.
The correct answer is the last choice.
Choose the best selection for the
quadrilateral with vertices at the
following points:
(0,0), (3,2), (6,0), (3,-2)
Hint: Start by graphing the points.
Distance Formula: d= V(x2-x1)2 + (y2 - y1)2
A. Rectangle
B. Square
C. Rhombus
D. Trapezoid
The quadrilateral with vertices at the points: (0,0), (3,2), (6,0), (3,-2) is a square
The vertices (or coordinates) of the quadrilateral is given as:
[tex](x,y) = (0,0), (3,2), (6,0), (3,-2)[/tex]
Calculate the distance between subsequent points, using the following distance formula
[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]
So, we have:
[tex]AB = \sqrt{(0 -3)^2 + (0 -2)^2}[/tex]
[tex]AB = \sqrt{13}[/tex]
[tex]BC = \sqrt{(3 -6)^2 + (2 -0)^2}[/tex]
[tex]BC = \sqrt{13}[/tex]
[tex]CD = \sqrt{(6 -3)^2 + (0 --2)^2}[/tex]
[tex]CD = \sqrt{13}[/tex]
[tex]DA = \sqrt{(3 -0)^2 + (-2 -0)^2}[/tex]
[tex]DA = \sqrt{13}[/tex]
Notice that the sides of the quadrilateral are congruent.
Hence, the quadrilateral is a square
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Answer:
it's not a
Step-by-step explanation:
The perimeter of an equilateral triangle is 14.4 cm. Find out the length of the side of that triangle in decimal fraction.
Answer:
4.8 cmStep-by-step explanation:
Given,
Perimeter of an equilateral triangle = 14.4 cm
As we know,
Perimeter of an equilateral triangle = 3 × sides (s) = 3s
Therefore,
By the problem,
=> 3s = 14.4 cm
[On dividing both sides with 3][tex] = > \frac{3s}{3} = \frac{14.4}{3} [/tex]
[On Simplification]=> s = 4.8 cm
Hence,
The required side of the given equilateral triangle is 4.8cm(Ans)
X = 8 find the slope
Answer:
the slope is 8
Step-by-step explanation:
since , x = 8 is a vertical line ,so the slope is undefined
Help please.. DuE Today. No LiNkS!!
Thanks! 8th Grade Mathh
Answer: A
Step-by-step explanation:
Answer:
Step-by-step explanation:
As x goes up, so does y. That immediately makes B incorrect.
The others (C and D) are incorrect because they points are not plotted correctly.
That leaves you with A.
A line passes through (-3, -2) and is perpendicular to 3x - 2y = 7.
What is theFind the image of A(6, -4) after it is reflected over the line y = - 2, then reflected over the line x = 1.
(-4, -4)
(-4, 0)
(6, 2)
(-4, 6)
please help!! i don’t know how to do this please help asap.
#1: Evaluate the expression for the given value of the variable. *
x + 7; X = 12
Answer:
19
Step-by-step explanation:
Based on what I understood from your question,
Value of x has been given = 12
So if we substitute or place that value in the given equation x + 7
=> 12 + 7 = 19
Hope I got it right.
Joy needs 8 feet of fabric for a project she is working on, but the store only sells the fabric in meters. One meter of fabric costs $1. 15. How much will the fabric cost? [1 ft = 0. 305m] $9. 20 $2. 12 $2. 81 $30. 16.
Answer: C = 6.5l
Cost is $6.50 per yard.
Step-by-step explanation:
2l = 13 and 5l = 32.5 After simplifying these we get: L = 6.5. In context, this means that one yard of fabric costs $6.50. As the number of yard of fabric increases, cost increases, so c = 6.5l.
Based on the cost of a single meter of fabric, the cost of the fabric that Joy wants is $2.81
Joy wants 8 feet of fabric. First convert this to meters which would be:
= 8 feet x 0.305 meter per feet
= 2.44 meters
The cost of this fabric would therefore be:
= Cost per meter x Number of meters
= 1.15 x 2.44
= $2.806
= $2.81
In conclusion, the cost of the fabric would be $2.81.
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Solve 2x^2 - x ≥ 15. Show your work
Answer:
x ∈ 〈-∞,-5/2]∪[3,+∞〉
Step-by-step explanation:
2x²-x-15 ≥ 0
2x²+5x-6x-15 ≥ 0
x(2x+5)-3(2x+5) ≥ 0
(2x+5)(x-3) ≥ 0
so
2x+5 ≥ 0
x-3 ≥ 0
2x+5 ≤ 0
x-3 ≤ 0
solve the equation
x ≥ -5/2
x ≥ 3
x ≤ -5/2
x ≤ 3
x ∈ [3,+∞〉
x ∈ 〈-∞,-5/2]
so x ∈ 〈-∞,-5/2]∪[3,+∞〉
please help.
with the steps.
just b, please
Answer:
x² +3x -50 = 0
Step-by-step explanation:
The area expression you got in part (a) is ...
A = (x +8)(x -5) = x² +3x -40
If the area is to be 10, then x must satisfy the equation ...
10 = x² +3x -40
x² +3x -50 = 0 . . . . . . subtract 10 and put in standard form
add the expression(3x+2)+(2x+5)
what are the possible roots for:
f(x)=x^ 4 +2x^ 3 +8x^ 2 +80x- 128
trust my answer like it
Can someone plz help Me?
Answer:
A and C
Step-by-step explanation:
In how many ways can you arrange six trophies on a shelf?
Answer:
720 ways
Step-by-step explanation:
Assuming order doesn't matter, there are [tex]6!=6*5*4*3*2*1=720[/tex] ways to arrange six trophies on a shelf.
Statins are used to keep cholesterol in check and are a top-selling drug in the U.S. The equation: S = 5.1 + 1.5 x estimates the amount of sales ( S ) of statin in billions of dollars x years after 1998.
52,259 divided by 215 with remainder
Step-by-step explanation:
Hope it will help you...
in a dilation, what is preserved and what is altered?
Answer:
Preserve angles
Step-by-step explanation:
i think sorry if its wrong
Answer:
to preserve angles
Step-by-step explanation:
What is the volume of this container?
Answer:
64 in 2 is it the answers im not shure
in the figure given alongside if X=3y find the sizes of angles represented by a and b
Answer:
Step-by-step explanation:
x = 3y
x + y = 180°
3y + y = 180° ⇒ y = 45° = a
x = 3( 45° ) ⇒ x = 135° = b
The sizes of angles represented by a and b are 45 and 135 degrees.
How does an angle form?An angle requires two straight line/ line segments/rays, such that they're connected on one of their endpoints.
The point of their joint is called vertex of that angle.
Those two line segments forming it are called arms of that angle.
The angle is the degree of rotation that it will take for the moving side to go from initial side to the position it is currently on.
We are given that
x = 3y
Since we know that the linear pair is
x + y = 180°
Therefore, 3y + y = 180°
y = 45° = a
x = 3( 45° )
x = 135° = b
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8 less than the sum of u and 2
Answer: u < 6
Step-by-step explanation: 2 + u < 8
u < (8-2)
u < 6
Write an expression for the total number of fish and plants in all the sets using the expression you found in part A.
The expression for the total number of fish and plants in all the sets is 24x + 18y.
The given parameters:
Number of fish, = 24Number of plants, = 18Let the total number of fish and plants = T
Let the total number of fish in all the sets = 24x
Let the total number of plants in all the sets = 18y
The expression for the total number of fish and plants in all the sets is calculated as follows;
T = 24x + 18y
Thus, the expression for the total number of fish and plants in all the sets is 24x + 18y.
The complete question is below:
Insert images of the plant and the fish in the space provided to arrange the 24 fish and the 18 plants into sets so that each set has the same number of fish and the same number of plants and none are left over. (In each set, the number of plants does not have to be equal to the number of fish.) Write an expression for the total number of fish and plants in each set
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what is 3 3/4 + 2 5/7
Answer:
6 13/28
Step-by-step explanation:
Hope this helps!
1. When is it best to solve a system of equations using graphing?
2. When is it best to solve a system of equations using substitution?
3. When it is best to solve a system of equations using elimination? When it is
1. You can solve a system of equations using graphs when there are no decimals or fractions in the equations. This can allow you to almost precisely plot a graph, and determine the values of the variables.
2. You can use the substitution method when one (or both) of the equations is already solved for one of the variables.
3. Elimination is best used when the equations are written in the form Ax + B = C, and also when the coefficients are values not equal to 1.
Find the value of x.
6x+3(-3x+4)=13
Answer
Well I’d distribute first
So if simplified you’d get
6x-9x+12=13
-3x+12=13
-3x=1
x= 1/-3
X is - 1/3