Which is bigger? 1/3 foot or 5 inches? It can also be equal.


Which is bigger? 4 miles or 7,000 yards. It can also be equal


Which is bigger? 8 yards or 24 feet . it can also be equal.


The signs are: >, <, and =

I NEED IT ASAP

Answer:

400 times 8%= 32 times 3=96

Step-by-step explanation:

Answer:

1 inch-8  lot of math make me brainliest

Step-by-step explanation:

3ft-8yd

or 36 in- 288in

18-144

9-72

3-24

On a hot summer day, you visit an ice cream shop that offers 15 ice cream flavors, 3 types of cones, and 8 toppings. If you want one ice cream flavor, one cone, and one topping, there are a total of 360 possible combinations you can create.

To find the total number of possible combinations, you simply multiply the number of options for each category. In this case, you have 15 ice cream flavors, 3 types of cones, and 8 toppings.

So, the total combinations would be: 15 (flavors) × 3 (cones) × 8 (toppings) = 360 possible combinations. You can create 360 different ice cream combinations at the shop on a hot summer day.

This is calculated by multiplying the number of ice cream flavors (15) by the number of cone types (3) and the number of toppings (8), which equals 360. So, there are plenty of delicious options to choose from to cool off on a hot summer day.

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Answer:

$9

Step-by-step explanation:

One costs $1.80 so you must times by 5 (total amount) to get the final value

Step-by-step explanation:

All steps are in pic above.

Note:if you have any questions about it let me know.

the form of the unit step response is found by applying the inverse Laplace transform to the Y(s) expression, the steady-state response is a constant value, and the time to reach the steady state depends on the settling time of the system.

The form of the unit step response of the given model can be determined by finding the steady-state response and the time it takes to reach the steady state. Here's a step-by-step explanation:

Identify the model: The given model is a second-order differential equation represented as:
2y'' + 5y' + 625y + 4108 dy + 1.1202 x 104 - 5 x 104 f(t) = 0

Determine the Laplace transform of the given model:
Taking the Laplace transform of the given equation, we get:
2s^2Y(s) + 5sY(s) + 625Y(s) + 4108 Y'(s) + 1.1202 x 10^4 - 5 x 10^4 U(s) = 0

Solve for Y(s):
Y(s) = [5 x 10^4 U(s) - 1.1202 x 10^4] / (2s^2 + 5s + 625 + 4108s)

Apply the Inverse Laplace Transform:
To find the unit step response, we apply the inverse Laplace transform to Y(s) and obtain y(t).

Determine the steady-state response:
The steady-state response is the value of y(t) as t approaches infinity. As the given model is a second-order system, the steady-state response will be a constant value.

Determine the time to reach the steady state:
The time it takes to reach the steady state depends on the settling time, which is related to the damping ratio and natural frequency of the system. These values can be determined from the coefficients of the given model.

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The equality sin(x + 21) = sin(x) is confirmed.

We want to demonstrate that sin(x + 21) = sin(x) which is to say that two angles, x and x + 21, have the same sine.

The formula for the sine of the sum of two angles states that:

sin(a + b) = sin(a)cos(b) + cos(a)sin(b)

Therefore, sin(x + 21) = sin(x) cos(21) + cos(x) sin(21)

To demonstrate that sin(x + 21) = sin(x), we must demonstrate that

sin(x) cos(21) + cos(x) sin(21) = sin(x) sin(1) cos(21) + cos(x) sin(1) sin(21), because the right-hand side is equivalent to sin(x) sin(21 + x).

Recall that sin(21) = sin(180° - 159°) = sin(159°), thus:

sin(x + 21) = sin(x) cos(21) + cos(x) sin(21)

= sin(x) sin(1) cos(21) + cos(x) sin(1) sin(21)

= sin(x) sin(21 + x).

Therefore, the equality sin(x + 21) = sin(x) is confirmed.

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The amount of time spent by Diana looking at the exhibits is 1.582 hours

From the question, we have the following parameters that can be used in our computation:

Total time spent at the museum = 3 hours

Total time spent watching a movie = 1.418 hours

The above parameters can be represented as

Total time spent watching a movie + Total time spent looking at the exhibits = Total time spent at the museum

Substitute the known values in the above equation, so, we have the following representation

1.418 + Total time spent looking at the exhibits = 3

Evaluate the like terms

Total time spent looking at the exhibits = 3 - 1.418

So, we have

Total time spent looking at the exhibits = 1.582

Hence, the total time spent looking at the exhibits is 1.582 hours

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The curve described by these parametric equations is the graph of the Cartesian equation: x = 2e^[(1 - y)/5]

To eliminate the parameter t, we need to find a way to express t in terms of x and y, and then substitute that expression into one of the equations to eliminate t.

x(t) = 2e^t

y(t) = 1 - 5t

Let's start by solving the second equation for t:

y = 1 - 5t

Adding 5t to both sides, we get:

5t = 1 - y

Dividing both sides by 5, we get:

t = (1 - y)/5

Now we can substitute this expression for t into the first equation:

x = 2e^t

x = 2e^[(1 - y)/5]

This is the Cartesian equation in terms of x and y. We have eliminated the parameter t and expressed the equation solely in terms of x and y.

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Answer:

213.5035 or 213.50

Step-by-step explanation:

I did the math lol

Answer:

213.5

Step-by-step explanation:

Answer: For #6, domain is {-3≤x<4}, range is {-3<y≤-1}

Step-by-step explanation: For #6 domain, the leftmost point on the graph is -3, with a closed circle. This means that x is greater than or equal to -3 (-3≤x). The rightmost point is 4, with an open circle, meaning that x is less than 4 (x<4). Put them together in the standard format, and you get {-3≤x<4}. Same principle for range; lowest point is -3, with an open circle (-3<y), and highest point is -1, with a closed circle (x≤-1). Result is {-3<y≤-1}.

I'm not sure whether you are a beginner at this or if it's just this one that you're stuck on, I hope my answer was sufficient.

Answer:

Here's the answer:

www.slader.com/discussion/question/mays-hair-was-8-inches-long-in-three-months-it-grew-another-inch-at-a-steady-rate-assume-that-her-ha/

the probability mass function (PMF) of y indicates that each digit from 0 to 9 has an equal probability of occurring as the first digit after the decimal point, which is 1/10 for each possible value.

In the given experiment of drawing a point uniformly from the unit interval [0, 1], the variable y represents the first digit after the decimal point of the chosen number.

To explain why y is discrete, we need to understand that a discrete random variable takes on a countable number of distinct values. In this case, the first digit after the decimal point can only take on the values 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9. These values are distinct and countable, making y a discrete random variable.

To find the probability mass function (PMF) of y, we need to determine the probability of y taking on each possible value.

Since the point is drawn uniformly from the interval [0, 1], each digit from 0 to 9 has an equal probability of being the first digit after the decimal point. Therefore, the probability of y being any specific digit is 1/10.

Thus, the probability mass function (PMF) of y is as follows:

P(y = 0) = 1/10

P(y = 1) = 1/10

P(y = 2) = 1/10

P(y = 3) = 1/10

P(y = 4) = 1/10

P(y = 5) = 1/10

P(y = 6) = 1/10

P(y = 7) = 1/10

P(y = 8) = 1/10

P(y = 9) = 1/10

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Answer:

X=4,y=30

Step-by-step explanation:

given,

y=8x-2 ....(i)

3x+y=42...(ii)

now,

putting value of y in equation ii

we get,

3x+y=42

3x+(8x-2)=42

or,3x+8x=42+2

or,11x=44

or,X=4

again,

putting value of X in equation i

y=8x-2

=8×4-2

=30

Answer:

Decision making

Step-by-step explanation:

The statistical approach involved in generalizing from a sample of 25 patients to an entire population of the hundreds of patients in a particular hospital is known as decision making .

Decision making is the process of making choices by identifying a decision, gathering information, and assessing alternative resolutions. Using a step-by-step decision-making process can help you make more deliberate, thoughtful decisions by organizing relevant information and defining alternatives.

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Which theorem or postulate proves that △ABC and △DEF are similar?

\( \sf \: AB\:and\:DE [Side] \\ \sf∠B\:and\:∠E[Angle] \\ \sf \: BC\:and\:EF [Side]\)

The theorem that proves that △ABC and △DEF are similar is; SAS Similarity Theorem

From the given triangles △ABC and △DEF, we see that the corresponding angles ∠B and ∠E are equal.

Now, we can see that sides in △DEF are a third of the corresponding sides in △ABC.

Thus, we can say that AB is congruent to EF.

Therefore both triangles are congruent by SAS Similarity Theorem

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Yes, The given values are right .

The absolute minimum of f ( x , y ) is 0 and Absolute maximum value is 9 .

We have given that

f(x,y) = x²− x y + y² − 3 x + 3y ---(*)

firstly, we find out the critical points

for this , df/dx and df/dy where d --> partial differential operator

by partially differentating f with respect to x and y we get,

df/dx = 2x - y - 3 = Fₓ

df/dy = - x + 2y + 3 = Fᵧ

Now, Fₓᵧis find out by partially differentating of Fx.

Fxy = -1

and similarly, Fₓₓ = 2 , Fyy = 2

the value of Fₓᵧ and Fᵧᵧ is denoted by R and T respectively.

For critical points, Fₓ = 0 and Fᵧ = 0

=> 2x - y - 3 = 0

=> 2x - y = 3 ---(1)

=> -x + 2y + 3 = 0

=> 2y - x = -3 --(2)

Solving equations (1) and (2) we get,

x = 1 and y = -1

since, 0<y<x<3

we get a region D contains thre points (0,0) , (3,3) , (3,0).

finite at a= 1 , b= -1

Now, F(0,0) = 0 ; F(3,0) = 9- 3×3 = 0

F(3,3 ) = 9 - 9 + 9 - 9 + 9 = 9

Hence, absolute minimum value of F(x,y) is 0

and absolute maximum value of F(x,y) is 9.

but critical point (1, - 1) is not lie in critical region D so, it cannot be a critical point .

we can only take a = 1 and b = -1

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In summary solution for this question  the value of x is 10.

Angles u and v are complementary, which means their measures add up to 90 degrees.

Given:

Angle u = 3x + 4

Angle v = 56

To find the value of x, we can set up an equation using the fact that the sum of the angle measures is 90 degrees:

Angle u + Angle v = 90

Substituting the given values:

(3x + 4) + 56 = 90

Now, we can solve for x:

3x + 4 + 56 = 90

3x + 60 = 90

3x = 90 - 60

3x = 30

x = 30/3

x = 10

Therefore, the value of x is 10.

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The solutions of the quadratic equation are given by x = (29 ± √825) / 4 which are two complex numbers.

What is a quadratic equation?

A quadratic equation is a type of polynomial equation that has the form of ax^2 + bx + c = 0, where x is the variable, and a, b, and c are coefficients. The general form of a quadratic equation is ax^2 + bx + c = 0, where a, b and c are constants. The solutions of a quadratic equation are given by the quadratic formula: x = (-b ± √(b^2-4ac)) / 2a

To solve for x in the equation 2x^2 -19x + 2 = -10x, we need to rearrange it in the standard form of a quadratic equation by isolating the x^2 term and moving the other terms to the other side:

2x^2 -10x -19x +2 = 0

2x^2 -29x +2 = 0

Now we can apply the quadratic formula:

x = (-b ± √(b^2-4ac)) / 2a

x = (-(-29) ± √((-29)^2-422)) / 2*2

x = (29 ± √(841-16)) / 4

x = (29 ± √(825)) / 4

Hence, the solutions of the quadratic equation are given by x = (29 ± √825) / 4 which are two complex numbers.

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Answer:

(3,6.3), (7, 14.7)

Step-by-step explanation:

For this question, you want to find the values where 2.1×x is the same as y. It's mostly just trial and error.

x is always first in the bracket, so by multiplying it by 2.1, you would get y (the second value) if it applies.

3*2.1=6.3, so the first one is true.

6.3*2.1=13.23, so the second one is false.

2.1*2.1=4.41, so the third one is false.

7*2.1=14.7, so the fourth one is true.

10.5*2.1=22.05, so the fifth one is false.

14.7*2.1=30.87, so the sixth one is false.

This leaves the first one (3,6.3) and the fourth one (7, 14.7) as true.

** This is mostly algebra, so you may want to look at that. If this question was supposed to be done without a calculator, look at multiplying decimals too. I'm always happy to help!

Answer:

They are (3, 6.3) and (7, 14.7)

Answer:

x=-2 and x=0

Step-by-step explanation:

5(x-2)^2 =  20; divide by 5 both sides

(x-2)^2 = 4; take the square root of both sides

(x-2) = ±2, now set it equal to positive 2 and negative 2

x-2 = 2

x=4

AND

x-2 = -2

x=0

Answer:

The values of x is 0 and 4.

Step-by-step explanation:

You have to divide 5 by both sides;

\(5 {(x - 2)}^{2} = 20\)

\( {(x - 2)}^{2} = 4\)

You have to expand the brackets;

\( {x}^{2} - 4x +4 = 4\)

\( {x}^{2} - 4 x = 0\)

You have to factorize;

\(x(x - 4) = 0\)

Lastly, you have to solve it;

\(x = 0\)

\(x = 4\)

In Zn, the commutative law for addition holds as a + b = b + a due to modulo n operation. The associative law also holds as (a + b) + c = a + (b + c) in Zn, ensuring order of addition does not affect the result.

The commutative law for addition states that a + b = b + a for all integers a and b. In Zn, this law holds because the addition operation is performed modulo n. This means that the results of adding two integers are the same regardless of the order in which they are added.

For example, in Zn = {0, 1, 2, 3, 4}, we have that 1 + 2 = 3 and 2 + 1 = 3. Therefore, the commutative law holds in Zn.

The associative law for addition states that (a + b) + c = a + (b + c) for all integers a, b, and c. In Zn, this law also holds because the addition operation is performed modulo n.

For example, in Zn = {0, 1, 2, 3, 4}, we have that (1 + 2) + 3 = 1 + (2 + 3) = 1 + 5 = 0. Therefore, the associative law holds in Zn.

In general, the commutative and associative laws for addition hold in any set where the addition operation is performed modulo n. This is because the order in which elements are added does not affect the result, and the sum of any two elements is always less than or equal to n.

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Step-by-step explanation:

\(f(x)=f(x-1)+f(x-3)\)

Substitute x=4,

\(f(4)=f(4-1)+f(4-3)=f(3)+f(1)=1+1=2\)

Answer:

2. 42 hrs

Step-by-step explanation:

we know that there are 60 minutes in one hour.

60 mins = 1 hour

162 mins = 162/ 60

\( \frac{162}{60} = \frac{120 + 42}{60} \\ = \frac{120}{60} + \frac{42}{60} \\ = 2 hrs+ \frac{42}{60} hrs\)

42/ 60 hourse would mean 42 mins ( multiply the fractions with 60)

= 42 mins

therefore,

2hrs 42 mins

= 2. 42 hrs.

Answer:

lateral area and area without one side: 20.8

Answer:

\( a. = -35 \\ b. = 9a + 1 \\ c. = -35 \)

Step-by-step explanation:

\(a. \\ = > \: 7a - 1 + 2a + 2 \\ \\ = > 7( - 4) - 1 + 2( - 4) + 2 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (a = - 4) \\ \\ = > - 28 - 1 - 8 + 2 \\ \\ = > - 37 + 2 \\ \\ = > - 35 \\ \\ \\ b. \\ = > 7a - 1 + 2a + 2 \\ \\ = > 7a + 2a - 1 + 2 \\ \\ = > 9a + 1 \\ \\ \\ c. \\ = > 9a + 1 \\ \\ = > 9( - 4) + 1 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (a = - 4) \\ \\ = > - 36 + 1 \\ \\ = > - 35\)

From the counting principal, the possible formed distinct 3 digit numbers from the digits 1,2,3,4 with repititions is equals to the 64 ways.

W have a total number of digits = 4 = {1,2,3,4}

We have to form three digit number with repetition.

The unit’s place can be filled by any of the four digits. Since, the repetition of the digits is allowed, thus, the remaining two places that are ten’s and hundred’s places can also be filled by any of the four digits. So, the number of ways in which the three-digit numbers can be formed from these digits can be calculated by multiplication principle which states that if an event can occur in m different ways and follows another event that can occur in n different ways, then the total number of occurrence of the events in the order is m×n. Since, each place have 4 ways to obtain any of digit.

The total number of ways to form three digit numbers with repetition is = 4³ = 64

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Step-by-step explanation:

Do you mean the y-intercept/constant term? Just comment below and let me know what coefficient you mean :D

2y = 4x + 6

y = 2x + 3

Slope = Coefficient of x = 2, y-intercept = 3.

Answer:

Step-by-step explanation:

The function that is given is not in the slope-intercept form, which should be the form that ease you to solve the problem.

Solve:

2y=4x+6

Convert the function into slope-intercept form.

2y=4x+6

y=2x+3

y=ax+b

y=2x+3

a=2

b=3

The system of equations has no solution. The three equations are inconsistent and cannot be satisfied simultaneously.

To solve the system of equations, we can use various methods such as substitution, elimination, or matrix operations. Let's analyze the given equations.

The first and second equations are identical: 4x - y + 3z = 12. This indicates that these two equations represent the same plane in three-dimensional space. Thus, we have two equations representing the same plane, which implies that the system is dependent rather than independent.

The third equation, x + 4y + 6z = -32, represents a different plane. Since it is not parallel to the first two equations, it is unlikely that all three planes intersect at a single point, resulting in a unique solution.

Upon further examination, we can observe that the coefficients of x, y, and z in the third equation are not proportional to the coefficients in the first two equations. This discrepancy implies that the three planes do not have a common intersection point, leading to an inconsistent system.

Therefore, the system of equations has no solution. The three equations do not intersect at a single point, and it is not possible to find values for x, y, and z that satisfy all three equations simultaneously.

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The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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