The wheel has diameter 60 cm = 0.60 m, and thus circumference π(0.60 m) ≈ 5.923 m.
In one complete revolution, a point on the edge of the wheel covers this distance, so that the wheel has an angular speed of
(13.2 m/s) * (1/5.923 rev/m) ≈ 2.229 rev/s
There are 60 seconds to each minute, and 60 minutes to each hour, so converting to rev/h gives
(2.229 rev/s) * (60 s/min) * (60 min/h) ≈ 8024 rev/h
x/8-1/2=6
what does that make?
Answer:
x = 10Step-by-step explanation:
[tex]\frac x8-\frac12\ =\ 6\\\\{}\ \ \cdot8\qquad \cdot8\\\\x-4\ =\ 6\\\\{}\ +4\ \,\quad+4\\\\x\ =\ 10[/tex]
What is 5/7 written as a decimal and written as a percent rounded to the nearest tenth?
Answer:
[tex]\frac{5}{7}:\quad 0.71428\\\\= 0.71\\\\\frac{0.71}{1}\times \frac{100}{100}\\ \\= 71/100\\\\= 71\%[/tex]
Step-by-step explanation:
The fraction 5/7 is equal to 0.7 or 70%.
To convert 5/7 to a decimal,
divide the numerator (5) by the denominator (7):
So, 5 ÷ 7 = 0.71428571...
Rounded to the nearest tenth, the decimal equivalent of 5/7 is 0.7.
Now, to convert 0.7 to a percent, we multiply it by 100:
0.7 x 100
= 70%
Therefore, when rounded to the nearest tenth, 5/7 is equal to 0.7 or 70%.
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3. Construct Arguments which is a better
approximation of V20, 4.5 or 4.47?
Explain.
Answer:
Step-by-step explanation:
Using the identity (x + 0.5)^2 = x(x + 1) + 0.25:
4.5^2 = 4 * 5 + 0.25 = 20.25
Also 4.45^2 = 19.8
so 4.47^2 will be closer to 20 than 4.5^2.
a block of glass of mass 187.5g is 5.0 cm long. 2.0 thick and 7.5 cm high. calculate the density of the glass in kgm^3
Answer:
[tex]2500 {kgm}^{3} [/tex]
Step-by-step explanation:
Density =
[tex] density = \frac{mass}{volume} [/tex]
Volume =lbh
Volume= 5x2x7.5
= 75cm^3
[tex]density( {gcm}^{3} ) = \frac{187.5}{75} \\ = 2.5 {gcm}^{3} \\ to \: change \: from \: {gcm}^{3} to \: {kgm}^{3} \\ multiply \: by \: 1000 \\ 2.5 \times 1000 \\ = 2500 {kgm}^{3} [/tex]
please give an answer Rationalise the denominator and find the values of a and b. 7−4√3/7+4√3 = a + b √3
Answer:
a = 97, b = - 56
Step-by-step explanation:
Given
[tex]\frac{7-4\sqrt{3} }{7+4\sqrt{3} }[/tex]
To rationalise multiply numerator/ denominator by the conjugate of the denominator.
The conjugate of 7 + 4[tex]\sqrt{3}[/tex] is 7 - 4[tex]\sqrt{3}[/tex]
= [tex]\frac{(7-4\sqrt{3})(7-4\sqrt{3}) }{(7+4\sqrt{3})(7-4\sqrt{3}) }[/tex] ← expand numerator/ denominator using FOIL
= [tex]\frac{49-28\sqrt{3}-28\sqrt{3}-48 }{49-48}[/tex]
= [tex]\frac{97-56\sqrt{3} }{1}[/tex]
= 97 - 56[tex]\sqrt{3}[/tex]
with a = 97 and b = - 56
Answer:
a = 97, b = - 56
Step-by-step explanation:
Two points in a rectangular coordinate system have the coordinates (5.5, 2.9) and (−3.5, 4.8), where the units are centimeters. Determine the distance between these points.
Answer:
The distance between these points is approximately is 9.198 units.
Step-by-step explanation:
Let be (5.5, 2.9) and (-3.5, 4.8) the location of the points in Cartesian plane. The straight line distance between both points ([tex]d[/tex]) is determined by the Pythagorean Theorem, which is described below:
[tex]d = \sqrt{(x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2}}[/tex]
Where:
[tex]x_{A}[/tex], [tex]x_{B}[/tex] - Horizontal components of each point, dimensionless.
[tex]y_{A}[/tex], [tex]y_{B}[/tex] - Vertical components of each point, dimensionless.
If [tex]A = (5.5, 2.9)[/tex] and [tex]B = (-3.5,4.8)[/tex], the distance between these points is:
[tex]d = \sqrt{(-3.5-5.5)^{2}+(4.8-2.9)^{2}}[/tex]
[tex]d\approx 9.198[/tex]
The distance between these points is approximately is 9.198 units.
rewrite in a slope-intercept form and graph
Answer:
[tex]y=\frac{3}{2}x+3[/tex]
Step-by-step explanation:
Take the given equation:
[tex]-3x+2y=6[/tex]
Solve for y so that the equation is written in slope-intercept form:
[tex]y=mx+b[/tex]
m is the slope and b is the y-intercept. x and y are the coordinate points (x,y).
Solve for y:
Add 3x to both sides of the equation:
[tex]-3x+3x+2y=6+3x\\\\2y=3x+6[/tex]
Divide both sides of the equation by 2 to isolate y:
[tex]\frac{2y}{2}=\frac{3x+6}{2} \\\\ y=\frac{3}{2}x+3[/tex]
The slope is [tex]\frac{3}{2}[/tex] and the y-intercept is 3.
To graph, you need two points. You can use the y-intercept as one.
The y-intercept is the place where the line crosses over the y-axis, where x equals 0, so the point is (0,3).
Next, take any value for x and insert it into the equation. We'll use 2:
[tex]y=\frac{3}{2}(2)+3[/tex]
Using this, you can solve for the value of y when x is equal to 2.
Simplify:
[tex]\frac{3}{2} *\frac{2}{1}=\frac{6}{2}=3 \\\\y=3+3\\\\y=6[/tex]
So, when x=2, y is 6 (2,6).
Plot the points (0,3) and (2,6)
Draw a straight line through the two, going past both.
:Done
In the graph, one square is 1 unit
PLEASE HELP!! Which equation can be used to solve 2 6 0 1 * x1 x2 = 2 -3
Answer:
Equation :
[tex]\begin{bmatrix}x_1\\ x_2\end{bmatrix}=\begin{bmatrix}\0.5}&-3\\ 0&1\end{bmatrix}}\begin{bmatrix}2\\ -3\end{bmatrix}[/tex]
Step-by-step explanation:
To isolate the following matrix, we will have to divide either by matrix 1, or the co - efficient of the matrix shown below. By doing so we will have to take the inverse of the co - efficient of that same matrix on the other side. In other words,
[tex]\begin{bmatrix}x_1\\ x_2\end{bmatrix}[/tex] - Matrix which we have to isolate,
[tex]\begin{bmatrix}x_1\\ x_2\end{bmatrix}=\begin{bmatrix}2&6\\ \:0&1\end{bmatrix}^{-1}\begin{bmatrix}2\\ -3\end{bmatrix}[/tex] - Equation used to solve the matrix
Now as you can see this equation is not any of the given options. That is as we have to simplify it a bit further,
[tex]\begin{bmatrix}2&6\\ 0&1\end{bmatrix}^{-1} = \frac{1}{\det \begin{bmatrix}2&6\\ 0&1\end{bmatrix}}\begin{bmatrix}1&-6\\ -0&2\end{bmatrix} = \frac{1}{2}\begin{bmatrix}1&-6\\ -0&2\end{bmatrix} = \begin{bmatrix}\frac{1}{2}&-3\\ 0&1\end{bmatrix}[/tex]
We know that 1 / 2 can be replaced with 0.5, giving us the following equation to solve for x1 and x2,
[tex]\begin{bmatrix}x_1\\ x_2\end{bmatrix}=\begin{bmatrix}\0.5}&-3\\ 0&1\end{bmatrix}}\begin{bmatrix}2\\ -3\end{bmatrix}[/tex]
As you can see our solution is option d.
Answer: d
Step-by-step explanation: on edge
Which statement describes how the graph of a function, h(x), and its inverse, h‒1(x), are related? The line y = ‒x is the perpendicular bisector of each segment connecting a point on h(x) to the corresponding point on h‒1(x). The line y = x is the perpendicular bisector of each segment connecting a point on h(x) to the corresponding point on h‒1(x). The graph of the inverse of h(x) is a reflection over the line y = 0 of the graph of h(x). The y-axis is the perpendicular bisector of each segment connecting a point on h(x) to the corresponding point on h‒1(x).
Answer:
Option B.
Step-by-step explanation:
We know that, if the graph of a function is reflected across the line y=x, then we get the graph of inverse of that function.
It means, the graph of inverse function is the mirror image of graph of function across the line y=x.
If h(x) is a function and h⁻¹(x) is its inverse function, then the line y = x is the perpendicular bisector of each segment connecting a point on h(x) to the corresponding point on h⁻¹(x).
Therefore, the correct option is B.
Answer:
the answer is b
Step-by-step explanation:
i got a 100 on the edg quiz
Write the equation in standard form for the circle that has a diameter with endpoints (22,0) and (2,0)
Answer:
(x - 12)² + y² = 100
Step-by-step explanation:
The standard form of the equation of a circle is;
(x - a)² + (y - b)² = r²
where:
a and b are the coordinates of the centre of the circle
r is the radius
We are given the coordinates of the endpoints of the diameter as; (22,0) and (2,0)
Thus, the centre of the circle would be at the mid point of the endpoints of the diameter.
Coordinates of the centre is;
((22 + 2)/2), (0 +0)/2))
This is;
(12, 0)
So, a = 12 and b = 0
Now,to get the radius r, we will use the formula;
r = √[(x2 - x1)² + (y2 - y1)²]
Where;
(x1, y1) and (x2, y2) are 2 points namely (12,0) and (22, 0)
r = √[(12 - 22)² + (0 - 0)²]
r = √(-10)²
r = √100
r = 10
Thus,equation of the circle is;
(x - 12)² + (y - 0)² = 10²
(x - 12)² + y² = 100
During a rain shower, Jeanette collects 42 1/2 gallons of water in a rain barrel outside her home. She uses 1 1/4 gallons to water plants inside her house. Then, she uses 1/2 of the remaining water to wash a load of dirty laundry. How many gallons of water does Jeanette use to wash her laundry?
Answer: 20 5/8
Step-by-step explanation:
We did this problem in class and that’s the answer we got
Answer:20 5/8
Step-by-step explanation:
i think this is correct
PLEASE HELP!!!! offering 45 points with brainiest
Answer:
[tex]\huge\boxed{12 \ people}[/tex]
Step-by-step explanation:
By looking at the range of histogram , we come to know that:
People who walked for 0-2 hours = 5
People who walked for 2-4 hours = 17
People who walked for 4-6 hours = 12
People who walked for 6-8 hours = 9
People who walked for 8-10 hours = 3
Answer:
12 people
Step-by-step explanation:
We want to find the number of people between 4 and 6 hours
Reading the chart, the third bar is between 4 and 6 hours
12 people
Solve for x.
5x - 4 = -3x+ 12
X = 2
X=6
X=-4
Answer:
x = 2
Step-by-step explanation:
Given
5x - 4 = - 3x + 12 ( add 3x to both sides )
8x - 4 = 12 ( add 4 to both sides )
8x = 16 ( divide both sides by 8 )
x = 2
A computer is programmed to combine 60,000 points of data in such a way that with each iteration, there are half as many data points as before. The number of data points after any number of iterations, x, can be modeled with the following function. [tex]f(x)= 60,000(1/2)^x[/tex]
Which statement compares the mathematical range and reasonable range of the function?
A. Both the mathematical and reasonable ranges are limited to real numbers greater than 0 and less than or equal to 262,144.
B. Both the mathematical and reasonable ranges are limited to whole numbers greater than 0 and less than or equal to 262,144.
C. The mathematical range is all real numbers greater than 0. The reasonable range is all real numbers greater than 0 and less than or equal to 262,144.
D. The mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than or equal to 262,144.
Answer:
D.) The mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than others equal to 60,000.
Step-by-step explanation:
The statement that compares the mathematical range and reasonable range of the function is the mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than or equal to 262,144. The correct option is D.
What is a computer program?A computer program is a set of instructions written in a programming language that a computer can execute. The software contains computer programs as well as documentation and other intangible components.
A program, or software program, is a set of instructions that guides the hardware of a computer to complete a task.
Therefore, the correct option is D, The mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than or equal to 262,144.
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|-15-7|= simply the expression
Answer:
22
Step-by-step explanation:
|-15 - 7|
-15 - 7 = -22
|-22| = 22
20 points!! Type the correct answer in the box. Use numerals instead of words. What value of n makes the equation true? -1/5n+7=2 n =
Hey there! :)
Answer:
[tex]\huge\boxed{n = 25}[/tex]
-1/5n + 7 = 2
Start by subtracting 7 from both sides:
-1/5n + 7 - (7) = 2 - (7)
-1/5n = -5
Multiply both sides by the reciprocal of -1/5, or -5.
(-5) · (-1/5n) = (-5) · (-5)
n = 25
Answer:
1/3
Step-by-step explanation:
that does make sense
The thickness of one sheet of paper is 〖8 × 10〗^(-3)
Work out the thickness of 250 sheets of paper.
Answer:
1/2048 or 4.8828125*10^(-4)
Step-by-step explanation:
First, figure out the thickness of 1 sheet of paper in number format:
[(8*10)]^(-3)=(80)^(-3) or (1/(80)^(3))=1/512000
Now, multiply 1/512000 by 250 to find the thickness of 250 sheets of paper:
250(1/512000)=1/2048
In scientific notation, this is written as 4.8828125*10^(-4).
High interest rates make it difficult for people to pay off credit card debt in a reasonable period of time. The interest I (in dollars) paid on a $10,000 debt over 3 years when the interest rate is r% can be approximated by the equation shown below.†
I
175.393
+ 0.663 = r
If the credit card interest rate is 23.6%, find the amount of interest paid during the 3 years.
Answer:
Step-by-step explanation:
We are told that the equation is for a 3 year debt, which is also the period over which the . This means that we can use the equation.
(I/175.393) + 0.663 = r
We are given r = 23.6%
Plugging this vakue in for r gives;
l/175.393 + 0.663 = 23.6
l/175.393 = 23.6 - 0.663
l/175.393 = 22.937
I = 175.393 x 22.937
I = $4022.99, which is approximately
$ 4023
What is the solution to this equation?
X/5 = 15
A. x = 10
B. x = 75
C. X = 3
D. x = 20
Answer:
B. x=75
Step-by-step explanation:
First, write out the equation as you have it:
x/5=15
Then, multiply both sides of the equation by 5/1:
5/1(x/5)=15(5/1)
Your result is:
x=75
Answer:-75 on a pex quiz 1.4.3
Step-by-step explanat
Can someone please help
Answer:
The answer is in the pictures
-10 + x + 4-5 > 7x - 5
Answer:
x < -1
Step-by-step explanation:
Step 1: Write out inequality
-10 + x + 4 - 5 > 7x - 5
Step 2: Solve
x - 6 - 5 > 7x - 5
x - 11 > 7x - 5
-11 > 6x - 5
-6 > 6x
-1 > x
Step 3: Rewrite
x < -1
Answer:
x < -1
Step-by-step explanation:
solve : 2( 3x - 1 ) = 4( x - 1 )
Answer:
x=-1
Step-by-step explanation:
6x-2=4x-4
-4x both sides
2x-2=-4
+2 both sides
2x=-2
divide by 2
x=-1
Answer:
2(3x-1)= 4(x-1)
Open bracket
6x-1= 4x-4
Group like terms
6x-4x= -4+1
2x=-3
Divide both sides by the coefficient of x
X= -3/2
Step-by-step explanation:
f(x) = 17 - 2x
Find f(a + 7)
Answer:
-2a + 3
Step-by-step explanation:
We can substitute a + 7 for x:
f(a + 7) = 17 - 2(a+7) = 17 - 2a - 14 = -2a + 3
Solve for x: 3(x + 1) = -2(x - 1) + 6. (1 point)
a 1
b 4
c 5
d 25
Answer:
a) 1
Step-by-step explanation:
3(x + 1) = -2(x - 1) +6
3x + 3 = -2x + 2 + 6
3x + 3 = -2x + 8
Subtract 3 from both sides
3x + 3 -3 = -2x + 8 -3
3x = - 2x + 5
Add 2x to both sides
3x + 2x = -2x + 5 +2x
5x = 5
Divide both sides by 5
5x/5 = 5/5
x = 1
Help fast please Mario completely covered a square floor using 98.5 ft² of hardwood without any overlap.
Which measurement is closest to the side length of this floor in feet?
9.5 ft
10 ft
25 ft
48ft
Answer: The answer is 10 ft. I took the test but it didn't explain why it was the answer.
Draw the multiplication table on the P=(3,5,7,9) in module 12
Answer:
Find the attached file for the solution
Step-by-step explanation: To draw the multiplication table on the P=(3,5,7,9) in module 12, create the table where all the given parameters will be at the top of horizontal axis and vertical axis,
When multiply by each other, any value that is below 12 will be written down while the value greater than 12 will be divided by 12 and the remainder will be written down.
Find the attached file for the solution and table.
Please help i’m stressing.
Answer:
130°
Step-by-step explanation:
Angle ABC = 180°-50° [°.° Supplementary angles]
= 130°
Jika suku pertama suatu barisan geometri = 16 dan suku ketiga = 36, maka besar suku kelima adalah …..
Answer:
Suku yang kelima adalah 56
Can someone help me on Domain and Range
Answer:
Its the second option.
Step-by-step explanation:
The domain and range are just the x (domain) and y (range) values
4.
Write this equation in slope-intercept form (y = mx + b).
y-2=-3(x - 4)
Answer:
[tex]\huge\boxed{y=-3x+14}[/tex]
Step-by-step explanation:
[tex]y-2=-3(x-4)\\\\y-2=-3x+12\\\\y-2+2=-3x+12+2\\\\\boxed{y=-3x+14}[/tex]
First distribute the -3 through the parenthses
which gives us y - 2 = -3x + 12.
Move the number to the right side of the equation
by adding 2 to both sides to get y = -3x + 14.
Notice that the equation above is written in slope-intercept form because
the y term is isolated or by itself on the left side of the equation.