Answer: The number of distinguishable permutations are 21 and 12
-7 = p/4
Please help
change 5 feet 10 inches to centimetres
Answer:
177.8
Step-by-step explanation:
There are 30.48 centimeters per foot so multiply 30.48 by 5. And there is 2.54 centimeters in a inch so multiply 2.54 by 10. And then add the totals together to get 177.8
The functions f(x) = −(x − 1^)2 + 5 and g(x) = (x + 2)^2 − 3 have been rewritten using the completing-the-square method. Apply your knowledge of functions in vertex form to determine if the vertex for each function is a minimum or a maximum and explain your reasoning.
If we write a quadratic in vertex form:
\(y=a(x-h)^2+k\)
Then:
\(\bold{a}\) \(\longrightarrow\) is the coefficient of \(x^2\)
\(\bold{h}\) \(\longrightarrow\) is the axis of symmetry.
\(\bold{k}\) \(\longrightarrow\) is the max/min value of the function.
Also:
If \(a > 0\) then the parabola will be of the form \(\cup\) and will have a minimum value.
\(a < 0\) then the parabola will be of the form \(\cap\) and will have a minimum value.
For the given functions:
\(a < 0\)
\(f(x)=-(x-1)^2+5\) this has a maximum value of \(\bold{5}\)
\(a > 0\)
\(f(x)=(x+2)^2-3\) this has a minimum value of \(\bold{-3}\)
A football has a radius of 8 cm.
What is the surface area of the football?
Surface area of a sphere = 4 π r²
Use π = 3.14
The surface area of sphere is 803.84cm²
What is surface area of sphere?The surface area of a sphere is the space that the sphere's outer surface occupies. A sphere is a circle in three dimensions. A circle is a two-dimensional (2D) form, but a sphere is a three-dimensional (3D) shape, which is the difference between the two. A sphere's surface area is measured in square units.
The radius of the sphere affects the formula for the sphere's surface area. In the event when the sphere's surface area is S and its radius is r.
Surface area of a sphere = 4 π r²
Given,
r = 8cm
surface area of sphere = 4 × 3.14 × 8 × 8
= 803.84cm²
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Please help, what is the greatest common factor of ....
4ab²c⁴ - 2a²b³c² + 6a³b⁴c
Answer:
the answer is 2ab²c
Step-by-step explanation:
hope it helps
Not sure how I would find what axis
Answer:
Quad 1
Step-by-step explanation:
John bought a shirt at ksh 500 and marked it at Ksh 600. A customer bought it at ksh 550. What was the percentage discount?
Answer:
The original price of the shirt was Ksh 500 and it was sold for Ksh 550.
The discount is the difference between the original price and the selling price, which is Ksh 500 - Ksh 550 = Ksh -50.
To find the percentage discount, we can use the formula:
percentage discount = (discount ÷ original price) × 100%
percentage discount = (-50 ÷ 500) × 100%
percentage discount = -10%
Therefore, the percentage discount is 10%.
Which of the following is equal to (27/125)5?
Answer:
27/25
Step-by-step explanation:
Step 1: Write expression
(27/125) · 5
Step 2: Multiply
135/125
Step 3: Simplify
27/25
What is -3/4 plus -1/6
Answer:
-11/12
Step-by-step explanation:
Given the points P (3, 5) and Q (-5, 7) on the cartesian plane such that R (x, y) is
the midpoint of PQ, find the equation of the line that passes through R and
perpendicular
to PQ.
Answer:
-22=22
Step-by-step explanation:
3,5-5,7=
-22/22
The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.
To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.
The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.
The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.
So, the coordinates of the midpoint R are (-1/2, 6).
Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:
(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)
Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:
(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))
Simplifying the equation:
(y - 6) = (2 / -8) \(\times\)(x + 1/2)
(y - 6) = -1/4 \(\times\)(x + 1/2)
4(y - 6) = -x - 1/2
Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.
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What is the solution to this equation?
4(4x + 1) = 3x - 46 - x) + 8
Answer: Hello There!................
x=-3.5
Step-by-step explanation:
Mark me brainest please. Hope this helps. Anna ♥
can someone help me with my work so i can pass
The measure of the angles are:: x = 20. so, angles are, 20°, 40°, 120°.
Here, we have,
we know that,
The sum of the angles in a triangle add to 180
x+2x+6x = 180
Combine like terms
9x= 180
Divide by 9
9x/9 = 180/9
x = 20.
Hence, The measure of the angles are:: x = 20. so, angles are, 20°, 40°, 120°.
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complete question:
The sum of the angle measures in a triangle is 180°. The angles of a certain triangle measure x°, 2x°, and 6x°. Solve for x.
What 58x 55 what is the answer
Answer:
3190 is the answer may i have brainly?
Step-by-step explanation:
my mom made pizza rolls who wants sum
Answer:
weird flex but ok
Step-by-step explanation:
please help i will give crowns
Answer: 20
Step-by-step explanation: see screenshot
Answer : It Is 20
Explanation : 5/1 * 4/1 = 20/1 And 20/1 Simplified = 20
◊ YusuCr ◊
Write the expression (X+6)(x-4) as a polynomial in standard form.
Answer:
Just
Download photo maths
please show on graph (with x and y coordinates) state where the function x^4-36x^2 is non-negative, increasing, concave up
Answer:
\( y'' =12x^2 -72=0\)
And solving we got:
\( x=\pm \sqrt{\frac{72}{12}} =\pm \sqrt{6}\)
We can find the sings of the second derivate on the following intervals:
\( (-\infty<x< -\sqrt{6}) , y'' = +\) Concave up
\(x=-\sqrt{6}, y =-180\) inflection point
\( (-\sqrt{6} <x< \sqrt{6}), y'' =-\) Concave down
\(x=\sqrt{6}, y=-180\) inflection point
\( (\sqrt{6}<x< \infty) , y'' = +\) Concave up
Step-by-step explanation:
For this case we have the following function:
\( y= x^4 -36x^2\)
We can find the first derivate and we got:
\( y' = 4x^3 -72x\)
In order to find the concavity we can find the second derivate and we got:
\( y'' = 12x^2 -72\)
We can set up this derivate equal to 0 and we got:
\( y'' =12x^2 -72=0\)
And solving we got:
\( x=\pm \sqrt{\frac{72}{12}} =\pm \sqrt{6}\)
We can find the sings of the second derivate on the following intervals:
\( (-\infty<x< -\sqrt{6}) , y'' = +\) Concave up
\(x=-\sqrt{6}, y =-180\) inflection point
\( (-\sqrt{6} <x< \sqrt{6}), y'' =-\) Concave down
\(x=\sqrt{6}, y=-180\) inflection point
\( (\sqrt{6}<x< \infty) , y'' = +\) Concave up
Which expression has a negative value
Answer:
bottom one
Step-by-step explanation:
Find the gradient of the line segment between the points (4,-6) and (-6,-16).
Answer:
1
Step-by-step explanation:
gradient M= change in Y / change in X
= (-16--6)/(-6-4)
= -10/-10
M therefore= 1
pls answer this!!!
worth 30 points
find the circumference of a circle with d=97cm diameter
round to 3 significant figures
The circular is around 305 cm in circumeference.
The circumference of a circle is given by the formula:
C = πd
where d is the diameter of the circle.
Substituting d = 97 cm and using the value of π to be 3.14159, we get:
C = πd
C = 3.14159 × 97 cm
C ≈ 304.731 cm
Rounding this to 3 significant figures, we get:
C ≈ 305 cm
Therefore, the circumference of the circle is approximately 305 cm.
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10
Sara was thinking of a number. Sara adds 19 to it, then doubles it and gets an answer of 39.2. What was the original number?
Answer:
0.6
Step-by-step explanation:
2(x+19)=39.2
x+19=19.6
x=0.6
Pls help I need help on this question
Answer: B
Step-by-step explanation: Hope this helps:)
What is the area of the parallelogram?
Ss
22 in.
24 in.
Answer:
no clue and I'm sorry I hate when others do this
could you explain this to me and tell me the answer. Thank you so much!!
Answer:1+3=4 4+2=6 5+6=11
Step-by-step explanation:
Answer:
1+3=4, 2+4=6, 5+6=11
Step-by-step explanation:
when made into a cube, (assuming 2 is on the top,) 1 is on the left side and 3 is on the right. 2 is on the top and 4 is on the bottom. 5 is on the north side (the front I guess, but north is the way I can explain it best) and 6 is on the south (the back).
please write an equation for each line.
By analytic geometry, the equations for lines represented by figure are:
Red line: y = 2 · x + 5 Yellow line: y = - 3.333 · x + 5 Black line: y = 2 · x - 6 Green line: y = - 2 Blue line: x = 5How to derive the equations of lines seen in a picture
In this problem we find the representation of five lines (red - yellow - green - blue - black). There is a horizontal line (green), a vertical line (blue) and three oblique lines (red - yellow - black). According to analytic geometry, we find the following definitions:
Horizontal lines: y = aVertical lines: x = bOblique lines: y = m · x + b (m - Slope, b - Intercept).The slope for oblique lines is determined by secant line formula:
m = Δy / Δx
Where:
Δx - Change in independent variable.Δy - Change in dependent variable.From picture we get the following hints:
Red line crosses the y-axis at (x, y) = (0, 5).Yellow line crosses the y-axis at (x, y) = (0, 5).Black line crosses the y-axis at (x, y) = (0, - 6).Green line crosses the y-axis at (x, y) = (0, - 2).Blue line crosses the x-axis at (x, y) = (5, 0).Finally, we proceed to find the equations for each line:
Red line
Slope
m = 5 / 2.5
m = 2
Intercept
b = y - m · x
b = 5 - 2 · 0
b = 5
The equation for the red line is y = 2 · x + 5.
Yellow line
Slope
m = - 5 / 1.5
m = - 3.333
Intercept
b = y - m · x
b = 5 - (- 3.333) · 0
b = 5
The equation for the yellow line is y = - 3.333 · x + 5.
Black line
Slope
m = 6 / 3
m = 2
Intercept
b = y - m · x
b = - 6 - 2 · 0
b = - 6
The equation for the black line is y = 2 · x - 6.
Green line
The equation for the green line is y = - 2.
Blue line
The equation for blue line is x = 5.
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3 Simplify the expression: 5! 2:3! 4. Simplify the expression:
Answer:
10
Step-by-step explanation:
\(5! 2:3! 4 \\ \\ = \frac{5! \: .2}{3! \: . 4} \\ \\ = \frac{5.4. \cancel{3!} \: . 2}{\cancel{3!} \: .4} \\ \\ = \frac{40}{4} \\ \\ = 10\)
A pound of chocolate costs 8 dollars. Yoko buys p pounds. Write an equation to represent the total cost c that Yoko pays.
Answer:
8×p≈c
Step-by-step explanation:
Because if each is 8 dollars you would multpy the number (Or Letter) by how many you want or have.
The sum of a number and five more than the number is fifteen
Answer:
5
Step-by-step explanation:
5 plus 5 more than 5 is 15
Two years ago, Santiago's credit score wasn't very good and the best rate he could have
received was 9.5% APR for 5 years.
Monthly payment:
I
Total amount of Monthly payments:
Finance charge:
How much money did he save by waiting until he improved his credit score?
Step-by-step explanation:
what is the. meaning of this
What is 4/5 to the 5th power