Answer:
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Step-by-step explanation:
Solve the system of equations by using the substitution method.
3x - 5y = 17
y=x-5
Answer:
x= 4, y= -1
Step-by-step explanation:
3x -5y= 17 -----(1)
y= x -5 -----(2)
Substitute (2) into (1):
3x -5(x -5)= 17
Expand:
3x -5x +25= 17
-2x= 17 -25
-2x= -8
x= -8 ÷(-2)
x= 4
Substitute x= 4 into (2):
y= 4 -5
y= -1
Answer:
y= -1
x= 4
Step-by-step explanation:
Plug in for y
3x - 5(x-5) = 17 Use the distributive property
3x - 5x + 25 = 17 Combine like terms
-2x + 25 = 17 Subtract 25 from both sides
-2x = -8 Divide by -2 on both sides
x = 4 Plug in for x
y = (4) - 5 Solve for y
y = -1
I hope this helps and please mark me as brainliest!
0.4 divided by 0.008
Answer:
50.
Step-by-step explanation:
Multiplying both numbers by 1000 to eliminate the decimal points:
0.4 / 0.008
= 400 / 8
= 50.
the answer is 50
.......................
In case you're not persuaded that ∇ 2
(1/r)=−4πδ 3
(r) (Eq. 1.102 with r ′
=0 for simplicity), try replacing r by r 2
+ϵ 2
, and watching what happens as ϵ→0. 16
Specifically, let D(r,ϵ)≡− 4π
1
∇ 2
r 2
+ϵ 2
1
As ϵ approaches zero in the expression D(r,ϵ)≡−4π(1/r²+ϵ²), the result approaches the Dirac delta function δ³(r).
When we substitute r²+ϵ² for r in the expression D(r,ϵ)≡−4π(1/r²+ϵ²), we obtain D(r,ϵ)≡−4π(1/(r²+ϵ²)). As ϵ approaches zero, the denominator of the expression tends to r². Therefore, D(r,ϵ) can be rewritten as D(r,ϵ)≡−4π(1/r²). This is equivalent to the expression for the Laplacian operator acting on the delta function 1/r, which is given as ∇²(1/r) = −4πδ³(r).
In simpler terms, the Laplacian operator (∇²) measures the curvature or variation of a function in three-dimensional space. The function 1/r represents the inverse of the distance from a point in space to the origin. When we take the Laplacian of this function, it results in −4π times the Dirac delta function δ³(r). The Dirac delta function represents an infinitely concentrated point source and is zero everywhere except at the origin, where it is infinite.
By substituting r²+ϵ² for r and observing the behavior as ϵ approaches zero, we can see that the expression D(r,ϵ) converges to the Dirac delta function. This demonstrates the relationship between the Laplacian operator and the Dirac delta function.
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The length of rectangular a school hall is 4 times the width and the perimeter is 55m. what is the: width: length:
If the length of rectangular school hall is 4 times the width and the perimeter be 55m, then the length is 22m and the width of the school hall be 5.5m.
Given that the length of rectangular school hall is 4 times the width.
We are required to find the length and breadth of the rectangle which has the length be 4 times the width.
Perimeter of rectangle is the sum of all the length and breadth of that rectangles.
Perimeter of rectangle is given as 55m
Perimeter=2(L+B)
let the width of rectangle be x.
Length of that rectangle be 4x.
According to question,
2(x+4x)=55
2*5x=55
10x=55
x=55/10
x=5.5 m
Width be 5.5 m.
Length of rectangle be 4*5.5=22m.
Hence if the length of rectangular school hall is 4 times the width then the length is 22m and the width of the school hall be 5.5m.
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Which polygon has one set of parallel sides and at least one right angle? On a coordinate plane, a polygon has 1 set of parallel sides. On a coordinate plane, a polygon has 1 set of parallel sides. On a coordinate plane, a polygon has 1 set of parallel sides and 1 right angle. On a coordinate plane, a polygon has no parallel sides.
Answer:
the answer would be option C. I just took the quiz
Step-by-step explanation:
i took the test!!!!!
In ΔNOP, o = 4.6 inches, n = 5.2 inches and ∠N=21°. Find all possible values of ∠O, to the nearest 10th of a degree.
Here, we use the sine rule.
The sine rule states that the ratio of the sides to the sine of the angles facing that side is a constant. So, in ang given triangle with angles A, B and C and sides a, b and c respectively,
a/sinA = b/sinB = c/sinC
Using the sine rule in ΔNOP, with ∠N opposite to side n and ∠O opposite to side o.
So, o/sin∠O = n/sin∠N
Making ∠O subject of the formula, we have
∠O = sin⁻¹(osin∠N/n)
Since o = 4.6 inches, n = 5.2 inches and ∠N = 21°, substituting the values of the variable into the equation, we have
∠O = sin⁻¹(osin∠N/n)
∠O = sin⁻¹(4.6 × sin21°/5.2)
∠O = sin⁻¹(4.6 × 0.3584/5.2)
∠O = sin⁻¹(1.6485/5.2)
∠O = sin⁻¹(0.3170)
∠O = 18.5°
The other values of ∠O are the values in the second quadrant as sin∠O is positive in the first and second quadrant.
So, in the second quadrant ∠O = 180° - 18.5° = 161.5°
So, all possible values of ∠O, to the nearest 10th of a degree are 18.5° and 161.5°
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the formulation for a linear programming problem cannot include more than one decision variable. group of answer choices true false
False. A linear programming problem can include more than one decision variable. Linear programming is a mathematical method used to find the optimal solution for a problem with multiple constraints and objectives, often related to maximizing or minimizing a certain value.
Decision variables are the variables that determine the potential solutions, and their values can be changed to affect the outcomes.
In many practical situations, there are multiple decision variables involved. For instance, a company may need to determine the optimal production quantities for different products, subject to resource constraints and market demands. In this case, the decision variables would represent the production quantities for each product, and there would be more than one variable.
In conclusion, the statement that a linear programming problem cannot include more than one decision variable is false. Multiple decision variables can be present in a linear programming formulation to address complex problems that involve multiple choices and constraints.
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The table shows the width and length of different pictures that Shakira has enlarged for the school yearbook:
Enlarged Picture
2 5
4 10
6 15
Based on the table, what is the length of a picture that has a width of 18 inches?
A:36
B:38
C:45
D:90
I really need help pls and thx
Answer:
If the left column is the width then the length is 45
If the right column is width then the length is 7.2
Step-by-step explanation:
ratios
which value is equal to -18 divided by -9?
Answer:
\( \huge \boxed{ \boxed{2}}\)
Step-by-step explanation:
to understand thisyou need to know about:PEMDASintegertips and formulas:\( \frac{ - a}{ - b} = c\)let's solve:\( \sf step - 1 : define\)
\( \sf\frac{ - 18}{ - 9} \)
\( \sf step - 2 : solve\)
\( \sf simplify \: divisio n : \\ \frac{ - 18}{ -9 } \\ = 2\)The average customer at Longhorn Steakhouse spends $26.00 per meal with a
margin of error of 10%. How is the maximum it would cost you if you pay for you
and your date?
$72.00
$57.20
$64.60
$28.60
Mirandah simplified the expression 5 x + 9 y - 4 . She says the answer is 10 x y . Answer the following questions. What error did Miranda make while combining like terms? What should her answer be?
Answer:
5x + 9y -4
Step-by-step explanation:
Find the slope of the line passing through the given points using the slope formula. Describe the slope as positive, negative, zero, or undefined.
(−5, −17) and (−5, −3)
Answer:
slope is undefined
Step-by-step explanation:
Calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 5, - 17) and (x₂, y₂ ) = (- 5, - 3)
m = \(\frac{-3+17}{-5+5}\) = \(\frac{14}{0}\)
Since division by zero is undefined, then
the slope of the line is undefined
Find the best linear approximation, L(x), to f(x) = e' near x = 0. i.L(x) = x+1 ii. L(x) = x iii. LX) = c + 1
The best linear approximation to the function f(x) = e^x near x = 0 is L(x) = x + 1.
The given function is f(x) = e^x near x = 0.
To find the best linear approximation, L(x), we use the formula:
L(x) = f(a) + f'(a)(x-a),
where a is the point near which we are approximating.
Let a = 0, so that a is near the point x = 0.
f(a) = f(0) = e^0 = 1
f'(x) = d/dx (e^x) = e^x;
so f'(a) = f'(0) = e^0 = 1
Substituting these values into the formula: L(x) = 1 + 1(x-0) = x + 1
Therefore, the best linear approximation to f(x) = e^x near x = 0 is L(x) = x + 1.
For instance, linear approximation is used to approximate the change in a physical quantity due to a small change in another quantity that affects it.
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9th grade math help me understand please 20 points
Answer:
Lines 1 and 4 are parallel
Step-by-step explanation:
The image below shows the four lines graphed, and proves that lines 1 and 4 are parallel.
Hope this helps! :)
Rewrite using a single positive exponent.
78
73
a lump sum of $2000 is invested at 4.2% compounded continuously. (a) write the function for the model that gives the future value of the investment in dollars after t years. f(t)
The function for the model that gives the future value of the investment in dollars after t years is: f(t) = 2000.e⁰·°⁴²t
Give, a lump sum of $2000 is invested at 4.2% compounded continuously.
Hence we have:
P = $2000
rate of interest = 4.2%
years = t
we know that A = Pe^rt
Substitute the above values in the formula.
Amount = f(t)
f(t) = 2000.e⁰·°⁴²t
hence we get the function for the model that gives the future value of the investment is f(t) = 2000.e⁰·°⁴²t
Therefore we get the required function.
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calculate the orders of the following (refer to figure 27.5 for illustrations). a. the group of rotations of a regular tetrahedron (a solid with four congruent equilateral triangles as faces)
The orders of the rotation groups of a regular tetrahedron, octahedron, dodecahedron, and icosahedron are 12, 24, 60, and 120, respectively.
The order of a group is the number of elements in that group. In the case of rotational symmetry groups, the order corresponds to the number of distinct rotations that leave the object invariant. A regular polyhedron is an object with all its faces congruent and all its vertices identical. The rotation groups of regular polyhedra are finite subgroups of the group of Euclidean isometries (rigid motions) in three dimensions.
A regular tetrahedron has four identical vertices and four identical equilateral triangle faces. Its rotation group is isomorphic to the alternating group on four elements (A4), which has 12 elements. This group can be generated by a single rotation of order 3 (which permutes the vertices) and a single rotation of order 2 (which exchanges opposite edges).
A regular octahedron has six identical vertices and eight identical equilateral triangle faces. Its rotation group is isomorphic to the symmetric group on four elements (S4), which has 24 elements. This group can be generated by a single rotation of order 4 (which permutes the vertices) and a single rotation of order 3 (which rotates around an axis through the centers of opposite faces).
A regular dodecahedron has 20 identical vertices and 12 identical regular pentagon faces. Its rotation group is isomorphic to the alternating group on five elements (A5), which has 60 elements. This group can be generated by a single rotation of order 5 (which permutes the vertices) and a single rotation of order 3 (which rotates around an axis through the centers of opposite faces).
A regular icosahedron has 12 identical vertices and 20 identical equilateral triangle faces. Its rotation group is isomorphic to the alternating group on five elements (A5), which has 120 elements. This group can be generated by a single rotation of order 5 (which permutes the vertices) and a single rotation of order 3 (which rotates around an axis through the centers of opposite faces).
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what is 6 divided by 10.00 (show work)
Answer:
3/5
Step-by-step explanation:
6/10 => 3/5
in decimal form its 0.6
Answer:
6÷1000=0,6
Step-by-step explanation:
6÷1000=0,006
0,6/100=
0,6%
the Correct answer is 0,6
find the volume of the largest right circular cone that can be inscribed in a sphere of radius r.
The volume of the largest right circular cone that can be inscribed in a sphere of radius r is 8/27 (volume of sphere)
Let r serve as the foundation. the volume of the area, and radius x is the separation between the base and the sphere's center. Height h of the cone = R + x
∴ V= 1/3πr² h= π/ 3 (R² −x²)(R + x)
= π/3 (R² + R² x − Rx² −x² )
∴ dV/ dx = π /3 [R²−2Rx−3x² ]
d²V/ dx² = π/3 [−2R−6x]
For max or min V dV/dx =0
∴ R² −2Rx−3x² =0
⇒(R + x)(x−3x)=0
2) x=−R, x/3 but x = −R
When x= R/3 d² V/dx² <0 V is max only when x= R/3
∴ Max V= 1/3π(R² − R²/9 )(R+ R/3 )
= 32πR³/81
= 8/27 ( 4/3 πR³)
= 8/27 (volume of sphere)
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Guys..can someone help me out with a basic math question...plxxx...tysm
b. The value of x is 9
c. The probability that a student picked had just played two games = 11/20
What is set?A set is the mathematical model for a collection of different things.
If G represent Gaelic football
R represent Rugby
S represent soccer
therefore,
n(G and R) only = 16-4 = 12
n( G and S) only = 42-4 = 38
n( Sand R) only = x-4
n( G) only = 65-(38+12+4)
= 65-54
= 11
n( S) only = 57-(38+x-4+4)
= 57-38-x
= 19-x
n(R) only = 34-(16+x-4+4)
= 34-16-x
= 18-x
b. 100 = 12+38+x-4+11+19-x+18-x+4+6
100 = 12+38+11+19+18+4+7+x-x-x
100 = 109-x
x = 109-100 = 9
c. probability that a student picked played just two games;
sample space = 12+38+x-4
= 50+9-4
= 55
total outcome = 100
= 55/100 = 11/20
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Pattern A starts at 0 and uses the rule "add 4." Pattern B starts at 30 and uses the rule "subtract 3."
What are the next four terms in each pattern?
Enter your answers in the boxes.
Answer: 0 4 8 12 16
30 27 24 21 18
Step-by-step explanation:
0 + 4 = 4 4 + 4 = 8 8 + 4 = 12 12 + 4 = 16
30 - 3 = 27 27 - 3 = 24 24 - 3 = 21 21 - 3 = 18
Answer:
Step-by-step explanation:
First column add 4 second column subtract 3
0,30
4,27
8,24
12,21
16,18
Will give brainlist if correct. My teacher told me 1 was there but I need the other number
Answer:
27/5
Step-by-step explanation:
What is a nonlinear graph called?
Any function whose graph is NOT a line is said to be nonlinear. It has the equation f(x) = ax + b. With the exception of the form f(x) = ax + b, its equation can take any form. Any two points on the curve have the same slope.
To ascertain whether a table of values is a linear function, follow these steps:
Find the variations between each pair of x numbers that follow.Find the variations between each pair of y values that follow.Discover the matching ratios between y and x differential amounts.Only the function is linear if all ratios are NOT equal.Learn more about graph Visit: brainly.com/question/19040584
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An elephant at the zoo drinks 88 gallons of water each day. The table shows the number of days the elephant drinks water and the number of gallons this elephant drinks during that time. What is the expression for the number of gallons this elephant will drink in x days?
Answer:
To anser the question we would need to see the table that shows the number of days the elephant drinks water and the number of gallons this elephant drinks during that time.
researchers wanted to study if wearing cotton clothes is related to depression. they surveyed a large group of people. the data are shown in the contigency table below. what is the relative risk of being depressed for those who wear cotton clothes?
The probability of being depressed and wearing cotton clothes is 0.39.
How to determine the probabilityNote that the probability of something happening is the chance of occurrence versus the total possibilities obtainable. So, for the data we are given, we will find the probability of being depressed and wearing cotton clothes this way:
Probability of being depressed and cotton/probability of being cotton
= 122/994 ÷ 311/994
= 122/311
= 0.39
So, the relative risk of being depressed and wearing cotton clothes is 0.39.
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a) What percentage of 5³ is 5?
b) What percentage of 5³ is 5²?
Step-by-step explanation:
a) 5³= 5*5*5 = 125
5/125*100%
4%
b) 5²=5*5=25
25/125*100%
20%
8. An employee at the recreation center earns $84.00 for working 7 hours. At
this hourly rate, what should the employee earn for 40-hour work week?
A. $12.00
B. $ 480,00
C. $ 280,00
D. $ 21,00
Answer:
B $480.00
Step-by-step explanation:
xlog5 - log125 = 0 solve for x. Asking for step by step answer.
Step-by-step explanation:
\(x log(5) - log(125) = 0 \\ log( {5}^{x} ) - log(125) = 0 \\ log( \frac{5x}{125} ) = 0 \\ \frac{ {5}^{x} }{125} = 1 \\ {5}^{x} = 125 \\ \)
\( log( {5}^{x} ) = log(125) \\ x log(5) = log(125) \\ x = \frac{ log(125) }{ log(5) } = 3\)
I NEED HELP PLEASE!!
Answer:
f=15
Step-by-step explanation:
set 2.5 over 1 to make it a fraction and cross multiply
Mandy used the rule “Add 6” to make a pattern. She started with 20 and wrote the next 5 numbers in her pattern. Which number does NOT belong in Mandy’s pattern?
Answer:
43
Step-by-step explanation:
Answer:
43
Step-by-step explanation:
Well, I used the process of elimination at first. I realized that the numbers that mattered in the question were even numbers therefore the only one that would not end in the even number once I added "6" to the next 5 numbers, would be number 43.