Can someone pls help me

The required solution is the distance from each corner should be 6.75 inches.

Let the distance from each corner of the wall to the mirror be x inches.

Now, the width of the wall is 46 inches and the width of the mirror is 33 1/2 inches.

Therefore, the distance from one edge of the mirror to a corner is :

=(46-33 1/2)/2

=6.75 inches.

Thus we can write the equation as:

2x + 33 1/2

= 46x=6.75 inches

Therefore, Fatima should place the mirror 6.75 inches away from each corner to make it centered.

Hence, the required solution is the distance from each corner should be 6.75 inches.

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Answer:

Step-by-step explanation:

AB

away fram house

2km 4mins

rate: 1km\minute

BC

away from house

5km 6mins

rate:0.83km\minute

CD

niether

0km 9mins

no rate

DE

toward house

6km 15mins

0.4km\minute

Answer:

the simplified expression of this is -23/2h + 3/2 or -11 1/2h + 1 1/2.

Step-by-step explanation:

7/2h - 3(5h - 1/2)

3(5h - 1/2)

First, we need to use the distributive property to distribute the expression which requires multiplication or division. We take 3 and multiply it by both values in the parentheses which gives us 15h - 1/2. However, since there is subtraction, we need to do the opposite of that which would be 15h +  1 1/2 or 15h + 3/2. Now we can't forget 7/2h at the beginning of the expression. Here is the remaining expression :

7/2h - 15h + 3/2 or 7/2h - 15h + 3/2

Now, we need to combine like terms which requires values to have the same variable. 7/2h and 15h have the same variable so combine like terms. We do subtraction.

7/2h - 15h

We subtract this and get a result of -23/2 or -11 1/2 but don't forget the variable.

-23/2h

1/2 doesn't have a variable so we no longer can combine like terms. Therefore, it would just be -23/2h + 3/2 or -23/h + 1 1/2.

Answer:

x≈64.3

Step-by-step explanation:

since we already know the measures of 2 of the 3 angles in the triangle, we can find the 3rd angle:

180°-90°-25°=65°

now, we can use the law of sines to find the missing side:

sin25°/30=sin65°/x

x sin25°=30sin65°

x=(30sin65°/sin25°)

x≈64.33520762

rounded to the nearest 10th:

x≈64.3

Answer:

the perimeter of the rectangle is 70 cm

Step-by-step explanation:

The computation of the perimeter of the rectangle is given below:

first we determine the side of each tile i.e.  

l² = A

l² = 49cm²

l = √49cm²

l = 7cm

now we calculate the perimeter i.e.  

P = 2 (3 (7cm) + 2 (7cm))

= 2 (21cm + 14cm)

= 2 (35cm)

= 70cm

Hence, the perimeter of the rectangle is 70 cm

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below

\((\stackrel{x_1}{1}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{24}) ~\hfill~ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{24}-\stackrel{y1}{8}}}{\underset{\textit{\large run}} {\underset{x_2}{3}-\underset{x_1}{1}}} \implies \cfrac{ 16 }{ 2 } \implies 8\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{ 8}(x-\stackrel{x_1}{1}) \\\\\\ y-8=8x-8\implies {\Large \begin{array}{llll} y=8x \end{array}}\)

Answer:

\(y=8x\)

Step-by-step explanation:

We can see that this line has a constant of proportionality. That is — x is proportional to y and vice versa. This means that the equation for the line's equation will be in the form:

\(y = mx\)

where \(m\) is the ratio of x to y.

This ratio is also known as the line's slope. We can solve for the slope using the equation:

slope = rise / run

slope = \(\Delta\)y / \(\Delta\)x

slope = 8 / 1

slope = 8

\(m=8\)

So, the equation of the line is:

\(y=mx\)

\(\boxed{y=8x}\)

When two rays intersect an angle is created, As different classification of angles are there on the basis of measurement of angles and on the basis of properties of angles.

When two rays or straight lines intersect at one of their ends, an angle is created. Vertex of an angle refers to the point at which two points meet. The Latin word "angulus," which means "corner," is the origin of the English term "angle."

Symbol of Angle

The symbol ∠ represents an angle. Angles are measured in the form of degrees (°) using a protractor.

For example, 45 degrees is represented as 45°

Sections of Angles

Types of Angles

Based on their measurements, here are the many types of angles:

Interior and Exterior Angles:

Interior angles: Interior Angles are angle formed inside the shape.

Exterior angles: Exterior angles are to be angles that is formed outside a shape, between any side of  shape and to an extended adjacent side.

Complementary and Supplementary Angles:

Complementary angles: Angles that add up to 90° (a right angle) are called complementary angles.

Supplementary angles: Angles that add up to 180° (a straight angle) are called supplementary angles.

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Answer:

y=0

Step-by-step explanation:

Answer: y = 30

hope it helps!

The correct answer is option c) infinitely many solutions..

To solve the system of equations using the substitution method, we'll substitute the value of y from the second equation into the first equation and solve for x.

Given:

-6x + 2y = 8 ---(1)

y = 3x + 4 ---(2)

Substitute equation (2) into equation (1):

-6x + 2(3x + 4) = 8

Simplify:

-6x + 6x + 8 = 8

8 = 8

We obtained a true statement (8 = 8), which means the two equations are equivalent. This solution shows that the system has infinitely many solutions.

Therefore, the correct answer is option c) infinitely many solutions..

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Answer:

16 weeks

Step-by-step explanation:

$80 + $8 a week \(\geq\) $205.75

80 + 8x  \(\geq\)  205.75

8x \(\geq\) 125.75

x \(\geq\) 15.71875

16 weeks

Answer:

The least common multiple of 5 and 7 is 35

Step-by-step explanation:

Because 5 x 7 is 35

Answer:

The Least common multiple ( LCM) of 5 and 7 is 35

Step-by-step explanation:

We list the first few multiples of 5 and 7a and identify the common multiples .

The least among the common multiples is the LCM of 5 and 7.

LCM 5 and 7

Multiples of 5: 5,10,15,20,25,30,35,40,45

Multiples of 7: 7,14,21,28,35,42,49

The Least common multiple of 5 and 7 is 35 .

l hope it helps ❤❤

Therefore, there is a "savings" of -100% per motor, which means there is actually no savings, but an increase in cost per motor when ordering 800 motors every two months compared to purchasing 400 motors per month.

To calculate the percent saved per motor by ordering 800 motors every two months instead of purchasing 400 motors per month, we can compare the unit cost of the two scenarios.

Let's assume that the cost per motor is the same in both cases.

Case 1: Ordering 400 motors per month

Total motors purchased per year = 400 motors/month * 12 months = 4,800 motors

Case 2: Ordering 800 motors every two months

Total motors purchased per year = 800 motors/2 months * 6 pairs of months = 4,800 motors

Since the total number of motors purchased per year is the same in both cases, we can compare the costs per motor.

In Case 1, the cost per motor is 100% (no savings).

In Case 2, the cost per motor is (100% * 2) = 200% of the original cost since the quantity is doubled.

To calculate the percent saved per motor, we subtract the cost per motor in Case 2 from the cost per motor in Case 1 and express it as a percentage:

Percent saved per motor = 100% - 200% = -100%

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The average velocity of Gwen over the time interval 0 < t is zero. We need to solve the equation:250sin(πt/45) = 0Solving for t, we get:πt/45 = nπwhere n is an integer.

Given that Gwen runs back and forth along a straight track and her velocity, in feet per second, is modeled by the function v(t) during the time interval 0 < t < 45 seconds; We are to determine the first time at which Gwen changes direction and find her average velocity over the time interval 0 < t.Firstly, we know that velocity is a vector quantity and has both magnitude and direction.

Since she is running back and forth along a straight track, her displacement at any given time t is given by the function s(t), which is the integral of her velocity function v(t).That is, s(t) = ∫v(t)dtWe can find the displacement by taking the definite integral of v(t) from 0 to t. Since Gwen is running back and forth, her displacement will be zero at the times when she changes direction.

Therefore, we need to solve the equation:250sin(πt/45) = 0Solving for t, we get:πt/45 = nπwhere n is an integer. Therefore,t = 45n/πwhere n is an integer. Since we are looking for the first time at which Gwen changes direction, we need to take the smallest positive value of n, which is n = 1.

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The convolution integral is a mathematical technique used to find the inverse Laplace transform of a function. In this case, we have a function f(s) that we want to find the inverse Laplace transform of. Let's call the inverse Laplace transform of f(s) F(t).

To use the convolution integral, we first need to express f(s) as a product of two Laplace transforms. Let's call these Laplace transforms F1(s) and F2(s):

f(s) = F1(s) * F2(s)

where * denotes the convolution operation.

Next, we use the convolution theorem to find F(t):

F(t) = (1/2πi) ∫[c-i∞,c+i∞] F1(s)F2(s)e^(st)ds

where c is any constant such that the line Re(s)=c lies to the right of all singularities of F1(s) and F2(s).

In our case, we need to find the inverse Laplace transform of a specific function. Let's call this function F(s):

F(s) = 1/(s^2 + 4s + 13)

To use the convolution integral, we need to express F(s) as a product of two Laplace transforms. One way to do this is to use partial fraction decomposition:

F(s) = (1/10) * [1/(s+2+i3) - 1/(s+2-i3)]

Now we can use the convolution theorem to find the inverse Laplace transform of F(s):

f(t) = (1/2πi) ∫[c-i∞,c+i∞] F1(s)F2(s)e^(st)ds

where F1(s) = 1/(s+2+i3) and F2(s) = 1/(10)

Plugging in these values, we get:

f(t) = (1/2πi) ∫[c-i∞,c+i∞] (1/(s+2+i3))(1/(10)) e^(st)ds

Now we can simplify this integral and evaluate it using complex analysis techniques. The final answer will depend on the value of c that we choose.

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Use the convolution theorem to find the inverse Laplace transform of each of the following functions. a. F(S) = S/((S + 2)(S^2 + 1)) b. F(S) = 1/(S^2 + 64)^2 c. F(S) = (1 - 3s)/(S^2 + 8s + 25) Use the Laplace Transform to solve each of the following integral equations. a. f(t) + integral^infinity_0 (t - tau)f(tau)d tau =t b. f(t) + f(t) + sin (t) = integral^infinity_0 sin(tau)f(t - tau)d tau: f(0) = 0 Find the Inverse Laplace of the following functions. a. F(t) = 3t^ze^2t b. f(t) = sin(t - 5) u(t - 5) c. f(t) = delta(t) - 4t^3 + (t - 1)u(t - 1)

A and B are disjoint, this contradicts the convergence of (xn) to x which shows E cannot be partitioned into two nonempty disjoint sets, implying that E is connected.

To prove that a set E is connected if and only if, for all nonempty disjoint sets A and B satisfying E = A ∪ B, there always exists a convergent sequence (xn) → x with (xn) contained in one of A or B and x an element of the other, we need to show that the connectedness of E implies the existence of such a convergent sequence, and vice versa.

Let's first assume that E is connected. This means that E cannot be partitioned into two nonempty disjoint sets A and B such that E = A ∪ B. Suppose such sets A and B are defined. Since E is connected, there are no isolated points in E. Therefore, for any x ∈ A and y ∈ B, we can construct a sequence (xn) → x and a sequence (yn) → y, where (xn) is contained in A and (yn) is contained in B. Since A and B are disjoint, x cannot be an element of A, and y cannot be an element of B. Hence, the sequence (xn) converges to an element in B, while the sequence (yn) converges to an element in A.

Conversely, let's assume that for all nonempty disjoint sets A and B satisfying E = A ∪ B, there always exists a convergent sequence (xn) → x with (xn) contained in one of A or B and x an element of the other. We aim to prove that E is connected. Suppose E can be partitioned into two nonempty disjoint sets A and B such that E = A ∪ B. By the given condition, there exists a convergent sequence (xn) → x with (xn) contained in one of A or B, and x an element of the other. However, since A and B are disjoint, this contradicts the convergence of (xn) to x. Therefore, E cannot be partitioned into two nonempty disjoint sets, implying that E is connected.

Thus, we have shown that a set E is connected if and only if, for all nonempty disjoint sets A and B satisfying E = A ∪ B, there always exists a convergent sequence (xn) → x with (xn) contained in one of A or B, and x an element of the other.

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Answer:

Step-by-step explanation:

As we have proved that the Fourier transform F(ω), with the only difference being the sign of ω

Firstly, let us recall what the Fourier transform is. It is a mathematical technique that decomposes a function into its frequency components. The Fourier transform is defined as:

F(ω) = ∫ f(t) \(e^{(-iwt)}\)dt

where f(t) is the function being transformed, ω is the frequency, i is the imaginary unit, and e^(-iωt) is a complex exponential function. The inverse Fourier transform is defined as:

f(t) = (1/2π) ∫ F(ω) \(e^{(iwt)}\) dω

where F(ω) is the Fourier transform of f(t).

Now, let's move on to the symmetry properties of the Fourier transform.

If f(t) is an even function, meaning f(-t) = f(t), then F(ω) is also even, meaning F(-ω) = F(ω).

To prove this, we start with the definition of the Fourier transform and substitute -t for t:

F(-ω) = ∫ f(-t)\(e^{(iwt)}\) dt

Then, using the even symmetry of f(t), we can replace f(-t) with f(t):

F(-ω) = ∫ f(t) \(e^{(iwt)}\) dt

Therefore, F(-ω) = F(ω) if f(t) is even.

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Answer:

[See Below]

Step-by-step explanation:

\(Hey~There!\)

____________________

➜ Turn each fraction into a decimal:

➜ Now divide:

____________________

So based on the work above we can conclude that your answer is:

____________________

\(Hope~this~helps~Mate!\\-Your~Friendly~Answerer,~Shane\) ヅ

Answer:

0.25

Step-by-step explanation:

The answer to the given problem is 5

Probability is the degree to which an occurrence is likely to take place, as determined by the proportion of favorable examples to the total number of instances for which it is probable to have occurred.

Let's assume

1 - P(no one has the same sign) >= 0.5

P(two or more people have the same sign) = 1 - P(no one has the same sign)

= 1 - (12 / (12-n)) / 12^n

1-0.5=0.5 >= P (no one has the same sign) = 12/(12^n x (12-n))

0.5 >= 12 /(12^n x (12-n))

Solve for n.

n = 5

Hence the answer is 5

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Answer:

x > 3

Step-by-step explanation:

Step 1: Subtract 7 from both sides.

Step 2: Divide both sides by 3.

Therefore, the solution is x > 3.

Answer:

\(\displaystyle 3 < x\)

Step-by-step explanation:

\(\displaystyle 3x + 7 > 16 \hookrightarrow \frac{3x}{3} > \frac{9}{3} \\ \\ x > 3\)

The above answer is written in reverce, and is still the same result.

*Now, in case you did not know how we arrived at the division, seven was deducted from both sides of the inequality to give you \(\displaystyle 3x > 9.\)From there, we splat both sides in third to give you the above result.

I am joyous to assist you at any time.

The required area under the whole probability density curve is given by option C. 1.

The area under the entire probability density curve is equal to,

As the probability density function (pdf) represents the probability of a continuous random variable.

And continuous random variable taking on a specific value within a certain range.

Since the total probability of all possible outcomes must be equal to 1.

This implies that the area under the entire probability density function (pdf) curve must also be equal to 1.

Therefore, the area under the entire probability density curve function is equal to option c. 1.

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The given expression is a simplified algebraic equation: (1/2) * a^2 - 3b + 2c. It represents a combination of variables a, b, and c with their respective coefficients.

Utilizing symbols and operations, an algebraic equation illustrates the equivalence or inequivalence of two expressions. These generated expressions may hold variables that have varying values.

The premise centered around calculus is to arrive at a solution by acquiring the correct value(s) of these variable(s), ultimately fulfilling the outlined specification in the problem. Algebraic equations can range from uncomplicated linear problems to elaborate polynomials and trigonometric functions.

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Answer:

x = 21 m

Step-by-step explanation:

Tan ∅ = \(\frac{opposite sides}{adjacent side}\\\)

\(tan 40 = \frac{x}{25}\\\\0.84 = \frac{x}{25}\\\\0.84*25=x\\\\x = 21\)

Answer:

222 cups

Step-by-step explanation:

24*3=72

72*3=216

3*2=6

216+6=222

Answer:

the answer is 89

Step-by-step explanation:

52 plus 37 = 89

Answer:

89 books

Step-by-step explanation:

he sells 37 books so we do 52+37 and get 89