R = 7.42 inches
Have a Merry Christmas!
Need help before Friday
The equation for the discounted price should be:
A' = $25*(1 - 20%/100%) = $20
How to find the discounted price?If we have an initial value A, and we decrease it by X (a percentage) then:
The discounted amount is:
D = A*(X/100%)
The new value is:
A' = A*(1 - X/100%)
So, if the initial value is $25 and there is a discount of the 20%, the new value of the item will be:
A' = $25*(1 - 20%/100%)
A' = $25*(1 -0.2)
A' = $25*0.8 = $20
That is the correctly discounted price.
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What’s the mean,median,mode, and range of 5,28,16,32,5,16,48,29,5,35
Answer:
Step-by-step explanation:
5, 5, 5, 16, 16, 28, 29, 32, 35, 48
Mode: 5, 16
Median: 44/2 = 22
range: 48 - 5 = 43
mean: (5 + 5 + 5 + 16 + 16 + 28 + 29 +32 + 35 + 48)/10 = 219/10 = 21.9
Can you help me wit #3 part a,b,c
Answer:
3a. The polygon has 15 sides, so it is a pentadecagon or a 15-gon.
3b. Each interior angle measures 156°.
3c. The measure of an exterior angles is 24°
Step-by-step explanation:
3a
(n - 2)180 = 2340
n - 2 = 13
n = 15
The polygon has 15 sides, so it is a pentadecagon or a 15-gon.
3b
2340/15 = 156
Each interior angle measures 156°.
3c
There are 2 ways to calculate the measure of an exterior angle.
Method 1:
Each exterior angle is supplementary to its adjacent interior angle.
156 + x = 180
x = 24
Method 2:
The sum of the measures of the exterior angles of a polygon, 1 per vertex, is 360, no matter the number of sides.
360°/15 = 24°
The measure of an exterior angles is 24°
HELP ASAP!!! So is this measuring tape in feet and meters??
Answer:
The top is the inches and the bottom is the cm.
Step-by-step explanation:
I might not be correct but I hope this works
find the first partial derivatives and evaluate each at the given point. function point w = 3x2y − 7xyz 10yz2 (4, 3, −2)
The partial derivatives of the given function at the point (4, 3, -2) is equal to wₓ(4, 3, -2) = 114 , \(w_{y}\)(4, 3, -2) = -16 , and\(w_{z}\)(4, 3, -2) = 96.
Function w= 3x²y − 7xyz + 10yz²
and Point (4, 3, −2)
To find the partial derivatives of the function w = 3x²y - 7xyz + 10yz² with respect to x, y, and z,
Differentiate each term of the function separately and evaluate them at the given point (4, 3, -2).
Partial derivative with respect to x (wₓ).
To find wₓ,
differentiate each term with respect to x while treating y and z as constants.
wₓ = d(3x²y)/dx - d(7xyz)/dx + d(10yz²)/dx
Differentiating each term,
wₓ = 6xy - 7(yz) - 0 since there is no x term in the last term.
Now, substitute the given point (4, 3, -2) into the expression for wₓ.
wₓ(4, 3, -2)
= 6(4)(3) - 7(3)(-2)
= 72 + 42
= 114
Partial derivative with respect to y (\(w_{y}\)).
To find \(w_{y}\),
differentiate each term with respect to y while treating x and z as constants.
\(w_{y}\)= d(3x²y)/dy - d(7xyz)/dy + d(10yz²)/dy
Differentiating each term.
\(w_{y}\) = 3x² - 7xz + 20yz
Substitute the given point (4, 3, -2) into the expression for \(w_{y}\)
\(w_{y}\)(4, 3, -2)
= 3(4)² - 7(4)(-2) + 20(3)(-2)
= 48 + 56 - 120
= -16
Partial derivative with respect to z ( \(w_{z}\))
To find \(w_{z}\), we differentiate each term with respect to z while treating x and y as constants:
\(w_{z}\) = d(3x²y)/dz - d(7xyz)/dz + d(10yz²)/dz
Differentiating each term.
since there is no z term in the first term
\(w_{z}\) = 0 - 7xy + 20y²
Substitute the given point (4, 3, -2) into the expression for \(w_{z}\)
\(w_{z}\)(4, 3, -2)
= -7(4)(3) + 20(3)²
= -84 + 180
= 96
Therefore, the partial derivatives of the function w = 3x²y - 7xyz + 10yz² at the point (4, 3, -2) are,
wₓ(4, 3, -2) = 114
\(w_{y}\)(4, 3, -2) = -16
\(w_{z}\)(4, 3, -2) = 96
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The above question is incomplete , the complete question is:
Find the first partial derivatives with respect to x, y, and z, and evaluate each at the given point.
Function w= 3x²y − 7xyz + 10yz² and Point (4, 3, −2)
wₓ(4, 3, −2) =
wy(4, 3, −2) =
wz(4, 3, −2) =
Charlotte the turtle was born with 4 squares on her shell,
as in the first picture below. When she was 1 year old, 12
new squares appeared around the old squares, as in the
second picture below. Each year, a new group of squares
appeared around the old squares.
Answer:
2-20 3-28
Step-by-step explanation:
0-4
1-12
2-20
3-28
When age is 2 then the new squares appeared = 20
When age is 3 then the new squares appeared = 28
What is pattern?"It is a repeated arrangement of numbers, shapes, colors and so on. "
For given question,
Charlotte the turtle was born with 4 squares on her shell, as in the first picture below.
When she was 1 year old, 12 new squares appeared around the old squares, as in the second picture below.
Each year, a new group of squares appeared around the old squares.
We find the same pattern to find the new squares appeared when she is 2 and 3 years old.
When she is 2 years old then the new squares appeared around the old squares, as shown below.
There are 20 new squares appeared around the old squares.
When she is 3 years old then the new squares appeared around the old squares, as shown below.
There are 28 new squares appeared around the old squares.
Therefore, when age is 2 then the new squares appeared = 20
when age is 3 then the new squares appeared = 28
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6. What is the equation in slope-intercept form for the graph of the line shown?
y
F. y =-2x-1
G.y =-2x + 1
H. y = 2x – 1
I. y = 2x + 1
if the lenghts of the diagonals of a rhombus are 10 cm and 8 cm then its area is
Answer:
40cm square
Step-by-step explanation:
10x8cm=80 cm/2=40cm square
Answer:80cm
Step-by-step explanation:Area=\(\frac{dxd}{2}\)
10cm x 8cm=80cm
What is 3 inches converted to feet?
Write your answer as a fraction in simplest form. 6
3 in=3 x 1 in
Answer:
1/4 feet
Explanation:
12 inches = 1 feet1 inches = (1/12) feet3 inches = (1/12)*3 feet3 inches = 1/4 feetSo
1in=1/12ftHence.
3in3(1/12)3/121/4ft0.25ftEight cards are labeled with numbers 2,3,4,5,7,9,10,11 respectively. One card is selected. What is the probability that the card is a prime number?
Answer:
62.5
Step-by-step explanation:
Because there are 5 prime numbers so you have to divide 100 by 8 and then multiply by 5 so the answer is 62.5
Can some one help me with this question its hard :( down below ill give brainliest
Answer:
3 to the 3rd power is the answer because 3x3x3=27
If 3 cups of sugar are used to make 12 cupcakes, how many cups of sugar are used to make 30 cupcakes
Answer:
7.5 cups of sugar
Step-by-step explanation:
3 cups /12 cupcakes * 30 cupcakes = 7.5 cups
Negative four and one-fifth minus negative thirteen and one-tenth
Answer:
8 nine tenths
Step-by-step explanation:
Can someone help? Will give brainly if correct!
Answer:
7.03, 6.75, 6.72, 6.08, 6.4
Step-by-step explanation:
You are given that the matrix A= ⎝
⎛
1
2
1
−2
1
k
2
9
5
⎠
⎞
is non-invertible (singular). What is the value of the constant k ? Select one: A. 2 B. 1 C. 3 D. 4 E. 0 Let u 1
=(1,1) and u 2
=(1,−1). What are the coordinates of y=(3,5) with respect to the ordered basis B={u 1
,u 2
}? Select one: The matrices M and N are given by M
and N
=( 1
1
1
0
)
=( 1
3
2
4
)
You are now told that A=M T
N What is det(A) ? Select one: A. 2 B. 4 C. 3 D. 0 E. 1 Let v 1
,v 2
,v 3
be vectors in R 3
. Which of the following statements is TRUE? I II III :dim(Span{v 1
,v 2
,v 3
})=3
:Span{v 1
,v 2
,v 3
}=R 3
:Span{v 1
,v 2
,v 3
}=R 3
iff v 1
,v 2
The first statement is about the dimension of the span of the three vectors, the second statement is about the span being equal to \(\mathbb{R}^3\), and the third statement is the same as the second but includes the condition that \(v_1\), \(v_2\), and \(v_3\) are linearly independent.
Let's go through each question one by one:
1. Given the matrix \(A\), we are told that it is non-invertible. To find the value of the constant \(k\), we can examine the determinant of \(A\). If the determinant is zero, then \(A\) is non-invertible. Therefore, we need to calculate the determinant of \(A\) and set it equal to zero to find \(k\).
2. The coordinates of \(y=(3,5)\) with respect to the ordered basis \(B=\{u_1,u_2\}\) can be found by expressing \(y\) as a linear combination of \(u_1\) and \(u_2\). We need to find scalars \(c_1\) and \(c_2\) such that \(y = c_1u_1 + c_2u_2\).
3. We are given two matrices, \(M\) and \(N\), and told that \(A = M^TN\). To find \(\text{det}(A)\), we can use the property that the determinant of a product of matrices is equal to the product of the determinants of the individual matrices. Therefore, we need to calculate \(\text{det}(A)\) using the given matrices \(M\) and \(N\).
4. In this question, we have vectors \(v_1\), \(v_2\), and \(v_3\) in \(\mathbb{R}^3\). We need to determine which of the given statements are true. The first statement is about the dimension of the span of the three vectors, the second statement is about the span being equal to \(\mathbb{R}^3\), and the third statement is the same as the second but includes the condition that \(v_1\), \(v_2\), and \(v_3\) are linearly independent.
Please provide the options for each question, and I'll be able to provide you with the correct answers.
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Please help me with these two Algebra problem. Thanks
Problem 1:
If two half planes never intersect, then their system of inequalities has no solution. True or False?
Problem 2:
If the boundary lines of two half planes are parallel, then they have no solution area. True or False?
Please answer as quick as possible and please answer as
Example:
True, because . . . .
Thanks again!!
Step-by-step explanation:
First, a half plane can be defined as one side of a line, e.g. x < y-3.
1: True. A solution to two half planes is where the two half planes intersect. If they never intersect, then there literally cannot be a solution.
2: False. Take, for example, y=x and y=x+1. These two lines are parallel because in the equation y=mx+b, m represents the slope, and in these two lines, x is multiplied by 1, so both lines have the same slope and are therefore parallel. Then, take two boundary planes -- y > x and y>x+1. If we graph this out (see picture), the planes clearly intersect when y>x+1. The solution is where the planes intersect, so there is a solution area
()=+3(+5)(−2)
Simplify
Answer :
6
How :
5 - 2 = 3 + 3 = 6
Consider the sequence 3, 9, 15, 21, ...
Enter numbers in the boxes to represent the second term as an ordered pair.
(
,
)
Answer:
The ordered pair to represent the second term as an ordered pair is:
(2, 9)Step-by-step explanation:
Background knowledge about the sequence function
A sequence is defined as the function whose domain is the set of natural numbers (counting numbers).
1, 2, 3, 4, .... n, ....
↓
a₁, a₂, a₃, a₄, .... aₙ, ....
Here,
1 gets mapped onto a₁,
2 gets mapped onto a₂, and so on
The numbers a₁, a₂, a₃, a₄, .... aₙ, .... are the terms of the sequence.
The number aₙ is the nth term of a sequence.
And the sequence function is denoted by {aₙ}.
Given the sequence
3, 9, 15, 21, ...
Here,
a₁ = 3 is the first term
a₂ = 9 is the second term
Thus, the ordered pair to represent the second term as an ordered pair is:
(2, 9)Y=3x-4Y=-3x+1Line 1. Line 2M= M=B=. B=Parallel, Perpendicular or n
For line 1
\(\begin{gathered} M1=3 \\ B1=-4 \end{gathered}\)For line 2:
\(\begin{gathered} M2=-3 \\ B2=1 \end{gathered}\)The lines are parallel if:
\(\begin{gathered} M1=M2 \\ 3=-3 \\ False \end{gathered}\)They are not parallel
The lines are perpendicular if:
\(\begin{gathered} M1\cdot M2=-1 \\ 3\cdot-3=-1 \\ -9=-1 \\ False \end{gathered}\)They are not perpendicular
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 90 N acts on a certain object, the acceleration of the object is 10 m/s² . If the force is changed to 81N , what will be the acceleration of the object?
Answer:
9 1/10th m/s2 :)
Step-by-step explanation:
The reason it is 1/10 is because the Number is 81 not 80, therefore 1/10 because there it is 1 left in 80 making it a fraction not a whole :) i hope this helps sorry if the explanation is too complicated...
given sin (-∅) = -1/4 and tan∅ = √15/15.
What is the value of cos∅?
Are the ratios 5:3 and 20:12 equivalent
Answer:
yes
Step-by-step explanation:
5x4=20
3x4=12
they are equivalent as they are both being multiplied by the same number (4)
Answer:
They are equal
Step-by-step explanation:
Think of a ratio of two numbers like a fraction. 3:5 is like 3/5.
Ratios may be reduced like fractions may be reduced. So, is 3/5 = 12/20
3/5 = 0.6
12/20 = 0.6
Can someone answer this it's in the pictures
Answer:
go to mathaway.com
Step-by-step explanation:
Which power of Congress is the most important?
Select one:
O a. the authority to regulate commerce
O b. the authority to establish the federal courts.
O c. the authority to make laws
O d. the authority to coin money
What is the solution of the inequality shown
below?
y+7≤-1
The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.
To solve the inequality y + 7 ≤ -1, we need to isolate the variable y on one side of the inequality sign.
Starting with the given inequality:
y + 7 ≤ -1
We can begin by subtracting 7 from both sides of the inequality:
y + 7 - 7 ≤ -1 - 7
y ≤ -8
The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.
In the context of a number line, all values to the left of -8, including -8 itself, will make the inequality true. For example, -10, -9, -8, -8.5, and any other value less than -8 will satisfy the inequality. However, any value greater than -8 will not satisfy the inequality.
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The following question may be like this:
What is a solution of the inequality shown below? y+7≤-1
Which of the points shown on the unit circle below is on the terminal side of angle θ such that cos θ= 1/2?
a
b
c
d
Answer:
b
Step-by-step explanation:
When a correlation is found between a pair of variables, this always means that there is a direct cause and effect relationship between the variables.
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Please give me the correct answer.Only answer if you're very good at math.Please don't put a link to a website.
Answer:
-79.78 (really stinking cold)
Step-by-step explanation:
Solving the equation will go like this:
5/9(F - 32) = -62.1
multiply both sides by 9 to get rid of the fraction
5 (F - 32) = -558.9
divide both sides by 5
F - 32 = -111.78
add 32 to both sides
F = -79.78
I checked the math twice.
Let me know if you have questions.
What is the estimate 20 9/11 divided by 6 19/20?
A) 147
B) 120
C) 4
D) 3
Answer:
D. 3
hope this helps
have a good day :)
Step-by-step explanation:
HALP
(24 , 0), (48 , 12), (24 , 16), (0 , 12)
Which of the following points is a vertex for the image produced by a dilation about the origin with a scale factor of ?
A.
(24 , 6)
B.
(3 , 0)
C.
(24 , 4)
D.
(6 , 4)
The terms "vertex," "origin," and "factor" are relevant in various math contexts. I assume you have a coordinate plane with two given points: (24, 4) and (6, 4). Let's use these terms to analyze the situation:
1. Vertex: A vertex is a corner point where two or more lines meet. In this case, the given points could be vertices of a shape, such as a rectangle or triangle.
2. Origin: The origin is the point (0, 0) on a coordinate plane, where the x-axis and y-axis intersect. Both given points are located to the right of the origin and above it.
3. Factor: A factor is a number that divides another number evenly. In this context, we can find factors of the x-coordinates. For example, factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. Factors of 6 are 1, 2, 3, and 6.
Without additional context or a specific problem to solve, this is a general explanation involving the given terms and points.
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