Which expression has a value of -5?
A
15 = 3
B
-25-5
100 = -20
-20 = 5

Answer: 5n^2 -19n^2-25

Step-by-step explanation: combine like terms / distribute

The width of the freezer is 2.25ft

The formula for calculating the volume of rectangular prism is expressed as:

V = lwh

Given the following

length l = 8feet

w is the width

height h = 3feet

Substitute

54 = 8*3w

54 = 24w

w = 54/24

w = 2.25ft

Hence the width of the freezer is 2.25ft

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Answer:

it is more easier to use a histogram and accurate

Answer:

Line graph

Step-by-step explanation:

A line graph is specifically used to display data that changes over time, a line plot uses several points connected by straight lines on an x and y axis.

I wouldn't choose a histogram because a histogram is used to summarize continuous data.

As well as I wouldn't use a circle graph becasue it is often used to show the percentage of of population who gave a certain answer.

Answer:

1.) 12m = d

2.) 120

Answer:

d=12m

$120

Explained

part 1:

d=12m (dollars = $12 times the m (the number of mows))

part 2:

m=10

d=12 (10)

d=$120

Answer:

1422cm²

Step-by-step explanation:

Triangle:

First; 24 x 14 = 336

second: since there is 2 triangle u x 2

so its 672

-------------------------------------------------------------------------------------------------------

Rectangle:

third; 25 x 10 = 250

forth; since there is 3 rectangle u x3

so its 750

last u add all ur answer for triangle and rectangle and u get

-------------------------------------------------------------------------------------------------------------

672 + 750 =

1422cm²

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In summary, the Fourier coefficients for the periodic function y(t) = -3 on the interval -5 ≤ t ≤ 5 are:

c₀ = -3 (DC component)

cₙ = 0 for n ≠ 0 (other coefficients)

To find the Fourier coefficients of the periodic function y(t) = -3 on the interval -5 ≤ t ≤ 5, we can use the formula for Fourier series coefficients:

cn = (1/T) ∫[t₀-T/2, t₀+T/2] y(t) \(e^{(-i2\pi nt/T)}\) dt

where T is the period of the function and n is an integer.

In this case, the function y(t) is constant, y(t) = -3, and the period is T = 10 (since the interval -5 ≤ t ≤ 5 spans 10 units).

To find the Fourier coefficient c₀ (corresponding to the DC component or the average value of the function), we use the formula:

c₀ = (1/T) ∫[-T/2, T/2] y(t) dt

Substituting the given values:

c₀ = (1/10) ∫[-5, 5] (-3) dt

  = (-3/10) \([t]_{-5}^{5}\)

  = (-3/10) [5 - (-5)]

  = (-3/10) [10]

  = -3

Therefore, the DC component (c₀) of the Fourier series of y(t) is -3.

For the other coefficients (cₙ where n ≠ 0), we can calculate them using the formula:

cₙ = (1/T) ∫[-T/2, T/2] y(t)\(e^{(-i2\pi nt/T) }\)dt

Since y(t) is constant, the integral becomes:

cₙ = (1/T) ∫[-T/2, T/2] (-3) \(e^{(-i2\pi nt/T)}\) dt

  = (-3/T) ∫[-T/2, T/2] \(e^{(-i2\pi nt/T)}\) dt

The integral of e^(-i2πnt/T) over the interval [-T/2, T/2] evaluates to 0 when n ≠ 0. This is because the exponential function oscillates and integrates to zero over a symmetric interval.

all the coefficients cₙ for n ≠ 0 are zero.

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The line is given as

The slope is 1/5

The y-intercept is -9

Therefore, the first option is the correct one

Answer:

A, B, E, and F

Step-by-step explanation:

Answer:

Step-by-step explanation:

C. The graph of G(x) is the graph of F(x) compressed vertically.

If, for example, x = 1, then F(1) = 1^2 = 1, while G(1) = (4/5)(1^2) = 4/5.

Note that G(1) < F(1); we say G(x) is a vertical compression of F(x).

Answer:

0.5 hours

Explanation:

Given:

Formula:

Solve:

Answer is attached

Hope it helps ⬆️

The equation of the tangent line to the graph of f(x) = 2e^x cos(x) at the point (0, 2) is y = -2x + 2.

To find the equation of the tangent line to the graph of the function f(x) = 2e^x cos(x) at the point (0, 2), we need to find the slope of the tangent line and the point of tangency.

First, let's find the derivative of f(x) to get the slope of the tangent line:

f'(x) = d/dx [2e^x cos(x)]
= 2e^x(-sin(x)) + 2e^x(-cos(x))
= -2e^x(sin(x) + cos(x))

Next, we substitute x = 0 into the derivative to find the slope at the point (0, 2):

f'(0) = -2e^0(sin(0) + cos(0))
= -2(1)(0 + 1)
= -2

So, the slope of the tangent line is -2.

Now, let's use the point-slope form of a line to find the equation of the tangent line:

y - y1 = m(x - x1)

Using (0, 2) as the point (x1, y1) and -2 as the slope (m), we have:

y - 2 = -2(x - 0)
y - 2 = -2x

Rearranging the equation, we get the equation of the tangent line:

y = -2x + 2

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Answer:

I need help with this one toooo T~T

Step-by-step explanation:

1. Yes U,U

Answer:

3^8

Multiply the exponents

The relation S={(a,b)∈R×R:a²+b²=1} is not an equivalence relation on the set of real numbers R.

To show that S is not an equivalence relation, we need to demonstrate that it fails to satisfy one or more of the properties of an equivalence relation: reflexivity, symmetry, and transitivity.

Reflexivity: For a relation to be reflexive, every element of the set should be related to itself. However, in the case of S, there are no real numbers (a, b) that satisfy the equation a² + b² = 1 for both a and b being the same number. Therefore, S is not reflexive.

Symmetry: For a relation to be symmetric, if (a, b) is related to (c, d), then (c, d) must also be related to (a, b). However, in S, if (a, b) satisfies a² + b² = 1, it does not necessarily mean that (b, a) also satisfies the equation. Thus, S is not symmetric.

Transitivity: For a relation to be transitive, if (a, b) is related to (c, d), and (c, d) is related to (e, f), then (a, b) must also be related to (e, f). However, in S, it is not true that if (a, b) and (c, d) satisfy a² + b² = 1 and c² + d² = 1 respectively, then (a, b) and (e, f) satisfy a² + b² = 1. Hence, S is not transitive.

Since S fails to satisfy the properties of reflexivity, symmetry, and transitivity, it is not an equivalence relation on the set of real numbers R.

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Answer:

D: decimeter

O: 1

Step-by-step explanation:

I couldn't find o but I think it said it stands for 1.  Correct me if I am wrong.

The Laplace transform of the given function \(2t^2e^{-t}-t+cos(4t)\) can be determined using Table 7.17.1 and the properties of the Laplace transform.

To find the Laplace transform of the given function, we can break it down into its individual components and apply the properties of the Laplace transform.

Using Table 7.17.1, we can find the Laplace transforms of the functions \(2t^2e^{-t}, -t,\) and cos(4t).

From the table, we have:

The Laplace transform of \(t^n\) is\(n!/s^{n+1}\) where n is a non-negative integer.

The Laplace transform of\(e^{-at}\) is 1/(s+a), where a is a constant.

The Laplace transform of cos(at) is \(s/(s^2+a^2)\).

Applying these transformations to the given function, we get:

The Laplace transform of\(2t^2e^{-t}\) is \(2*(2!)/(s+1)^3\), using the transformation for \(t^n\) and \(e^{-at}\).

The Laplace transform of -t is -1/s, using the transformation for \(t^n\).

The Laplace transform of cos(4t) is \(s/(s^2+4^2)\), using the transformation for cos(at).

Combining these results, the Laplace transform of the given function is:

\(2*(2!)/(s+1)^3 - 1/s + s/(s^2+4^2).\)

Please note that this explanation assumes familiarity with the properties of the Laplace transform and the specific table mentioned.

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With the help of binomial distribution we can conclude our answer.

acc to our question-

The confidence interval can be found out using,

Hence, the confidence interval for the mean load required to pull the wood apart is (29,485.192 , 32,114.8).

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Answer:

c. 186 any more help just ask :)

Answer:

B.) About 200 minutes napping

Step-by-step explanation:

74+56+128+38=296

500-296=204

204 is about 200

ANSWER

[5, ∞)

EXPLANATION

First we have to solve each inequality separately:

And the other inequality

Graphing this solution set:

Solution x ≥ 5 includes solution x ≥ 1, so the solution is [5, ∞)

Answer:

y=50x+25

The x days would multiply by 50 and adding 25 to 50x to get y.

Answer:

93+30=123 so e equals 123

Step-by-step explanation:

To check, do 123-30=93

If you are 15 years old and Jones is 6 years old, then you are 9 years older than Jones. Therefore, you are 15 + 9 = 24 years old.

To determine your age, we start with the information given: you are currently 15 years old. Since Jones is 6 years old, we can calculate the age difference between you and Jones by subtracting Jones' age from your age: 15 - 6 = 9. This means that you are 9 years older than Jones.

To find your age, we add the age difference to Jones' age. Jones is 6 years old and you are 9 years older, so the calculation is 6 + 9 = 15. Therefore, your age is 15 years old.

Based on the given information that you are currently 15 years old, we can conclude that you are 9 years older than Jones, who is 6 years old. Therefore, your age is 15 + 9 = 24 years old.

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Answer:

solution,

\(a. \: x(x + 2) \\ \: \: = x \times x + 2 \times x \\ \: \: = {x}^{2} + 2x\)

\(b . \: x(2x - 5) \\ \: = x \times 2x - x \times 5 \\ \: \: = 2 {x}^{2} - 5x\)

\(c. \: 2x(3x + 4) \\ \: = 2x \times 3x + 2x \times 4 \\ \: \: = 6 {x}^{2} + 8x\)

\(d. \: 6x(x - 2) \\ \: \: = 6x \times x - 6x \times 2 \\ \: \: = 6 {x}^{2} - 12x\)

Hope this helps...

Good luck on your assignment..

The number that is an estimate of √12 is 3.5

The number is given as:

square root of 12

This is represented as:

√12

Using a calculator, we have:

√12= 3.46

Approximate

√12= 3.5

Hence, the number that is an estimate of √12 is 3.5

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