I NEED HELP FAST!!!!

To write 10 more than a number, we use the mathematical operation of addition and the notation 10 + Number = N+10.

To write 10 more than a number, we need to use the mathematical operation of addition. Addition is the process of combining two or more numbers to find the total or sum.

In this case, we are given the number 5 and we are asked to find the number that is 3 more than it. To do this, we can use the mathematical notation: 10 + Number = N+10.

This notation means that we are adding 10 to a number, which results in N+10. The "+" symbol is the addition operator and it is used to indicate that we are performing an addition operation. The "=" symbol is used to indicate that the result of the addition is N+10.

Another way to write 10 more than a number is to use the phrase "10 plus a number". This phrase indicates that we are adding 10 to a number to get N+10.

Therefore, In short, to write 10 more than a number, we use the mathematical operation of addition and the notation 10 + Number = N+10. This means that we are adding 10 to a number, resulting in N+10. It can also be written as "10 plus N", indicating the same operation.

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Answer:

similar triangles have there corresponding sides proportional and corresponding angles equal

the matches are

-2(2x+5) ≤ -7(x+4)         x<=-6

4x-3x-1                          x<=-1

5(x-3)9(x+1)                   x>=-6

3(x-4)+5 2x-9                x>=-2

Generally, Inequality is a mathematical statement that compares two values or expressions and indicates whether they are equal or not equal, or which one is greater or smaller. Inequalities are expressed using symbols such as < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to).

For example, 5 < 8 is an inequality that indicates that 5 is less than 8, and x + 3 ≥ 7 is an inequality that indicates that the value of x plus 3 is greater than or equal to 7.

Inequalities are commonly used in algebra and other branches of mathematics to represent relationships between quantities.

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The correct matching of the inequalities can be shown from the calculations below

Inequalities are an important tool in mathematical modeling and optimization problems, where they are used to express constraints and objective functions.

Using the principle of inequalities we have;

1) -2(2x + 5) ≤ - 7(x + 4)

-4x -10 ≤ -7x -28

-4x +7x ≤ -28 + 10

3x ≤ -18

x ≤ -6

2) 4x - 6/2 ≥ 3x - 1

4x - 6 ≥ 6x - 2

4x - 6x ≥ -2 + 6

-2x ≥ 4

x  ≤ -2

3) 5(x - 3) ≤ 9(x + 1)

5x - 15  ≤ 9x + 9

5x - 9x  ≤ 9 + 15

-4x  ≤ 24

x ≥ -6

4) 3(x - 4) + 5 ≥ 2x - 9

3x - 12 + 5≥ 2x - 9

3x - 2x ≥ -9 + 12 -5

x ≥ -2

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We need to calculate the total  of the rectangular prism and divide it with the volume of single 1/3 cubes to get the number of cubes. It takes almost 25 cubes to fill the rectangular prism of given dimension.

The rectangular prism has 2.5 m length, 5 m tall and 0.75 m wide.

The total volume of the rectangular prism will be 2.5 m × 5 m × 0.75 m = 8.25 m³.

The volume of single cube will be (1/3) m³ = 0.33 m³

Now to find the number of cubes to fill the rectangular prism, we can divide the volume of the prism with the volume of single cube.

8.25 m³ / 0.33 m³ = 25 cubes.

It takes almost 25 cubes to fill the rectangular prism of dimension 2.5 m length, 5 m tall and 0.75 m wide.

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The harmonic coefficients an are 0.5, 1.2, 0, 0.125, 0, 0, ...

Hence, the correct option is 0.5,1.2,0,0.125,0,..., 0.

Question 1:

If the Fourier series coefficient an=-3+j4

The value of a_n isO-3+j4

The complex conjugate of an is a*-3-j4

On finding the magnitude of an by using the formula

|an|=sqrt(Re(an)^2+Im(an)^2)

=sqrt((-3)^2+(4)^2)

=5

The value of a_n is -3+j4.

Hence, the correct option is O-3+j4.

The given harmonic coefficients are:

y(t)=0.5+sin(60πt)+4cos(30πt)-0.125sin(90πt+120°)

On comparing the given signal with the standard equation of Fourier series:

y(t) = a0/2 + an cos(nω0t) + bn sin(nω0t)

The coefficients of cosnω0t and sinnω0t are given by

an = (2/T) * ∫[y(t) cos(nω0t)]dt,

bn = (2/T) * ∫[y(t) sin(nω0t)]dt

Here,ω0 = 2π/T

= 2π,

T = 1.

The value of a0 is given by

a0 = (2/T) * ∫[y(t)]dt

Now, let's find the values of a0, an and bn.

The coefficient a0 is given by

a0 = (2/T) * ∫[y(t)]dt

= (2/1) * ∫[0.5+sin(60πt)+4cos(30πt)-0.125sin(90πt+120°)]dt

= 1.125

The coefficient an is given by

an = (2/T) * ∫[y(t) cos(nω0t)]dt

When n = 1

an = (2/T) * ∫[y(t) cos(ω0t)]dt

= (2/1) * ∫[0.5+sin(60πt)+4cos(30πt)-0.125sin(90πt+120°)] cos(ω0t)dt

= 0.5

The coefficient bn is given by

bn = (2/T) * ∫[y(t) sin(nω0t)]dt

When n = 1

bn = (2/T) * ∫[y(t) sin(ω0t)]dt

= (2/1) * ∫[0.5+sin(60πt)+4cos(30πt)-0.125sin(90πt+120°)] sin(ω0t)dt

= 0

Now, let's find the values of a2 and a3.

The coefficient an is given by

an = (2/T) * ∫[y(t) cos(nω0t)]dt

When n = 2

an = (2/T) * ∫[y(t) cos(2ω0t)]dt

= (2/1) * ∫[0.5+sin(60πt)+4cos(30πt)-0.125sin(90πt+120°)] cos(2ω0t)dt

= 1.2

The coefficient an is given by

an = (2/T) * ∫[y(t) cos(nω0t)]dt

When n = 3

an = (2/T) * ∫[y(t) cos(3ω0t)]dt

= (2/1) * ∫[0.5+sin(60πt)+4cos(30πt)-0.125sin(90πt+120°)] cos(3ω0t)dt

= 0.125

Now, the harmonic coefficients an are 0.5, 1.2, 0, 0.125, 0, 0, ...

Hence, the correct option is 0.5,1.2,0,0.125,0,..., 0.

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Answer: area=8cm

Step-by-step explanation:

Answer:

a) Area of shape = 8 square cm.

Step-by-step explanation:

Area of composite shape:

      Area of shape = area of rectangle + 2* area of triangle

         l = 3 cm ; w = 2 cm

\(\sf \boxed{\text{Area of rectangle = l *w}}\)

                             = 3 * 2

                             = 6 cm²

Triangle:

     b = 2 cm

     h = 1 cm

\(\sf \boxed{\text{Area of triangle=$\dfrac{1}{2}*b*h$}}\)

                         \(\sf = \dfrac{1}{2}*2*1\\\\\\ = 1 \ cm^2\)

Area of two triangles = 2 *1

                                    = 2 cm²

Area of shape = 6 + 2

                        = 8 cm²

b) Area of rectangle ABCD = 4 * 2

                                             = 8 cm²

The value of  x of chord = 5

By definition of circle,

The chord of a circle is defined as the line segment connecting any two locations on the circle's perimeter; nevertheless, the diameter is the longest chord of a circle that goes through the centre of the circle.

The chord is one of the several line segments that may be made in a circle, and its endpoints are on the circumference.

⇒ 6 (6 + x) = 7 (7 + 11)

Solve for x;

⇒ 36 + 6x = 7 × 18

⇒ 36 + 6x = 126

⇒ 6x = 126 - 36

⇒ 6x = 90

⇒ x = 15

Thus, The value of x = 5

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Answer:

y = 4 - 2x

y = -2 + 2x

y = -2 + 2x

x = 11

pease tell me if I got them wrong

The numbers are 26 and 9 respectively.

An algebraic expression can best be defined as an arithmetic or mathematical expression that is known to consist of variables, coefficients, constants, factors as well as terms.

These expressions said to contain numerous arithmetic operations, which includes;

From the information given, we have that

Let the small number be x

The large number be y

y < 3x    (1)

Also,

x + y = 35    equation 2

x = 35 - y

Substitute the value of x in equation 1

y < 3(35 - y)

expand the bracket

y < 105 - 3y

collect like terms

y + 3y < 105

4y < 105

Make 'y' the subject

y < 105/4

y < 26. 25

y = 26

substitute the value of y

x + y = 35

x + 26 = 35

x = 9

Hence, the values are 26 and 9

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♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

\(angle \: 3 =angle \: 1 +angle 2\)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

the relationship is obviously a good one cuz u see 1 and 2 had a baby and named it 3 i dont wanna know how it all went down or should i say in

lol

Step-by-step explanation:

Answer:

x = 0

Step-by-step explanation:

7x + 10 = -2(x - 5)

7x + 10 = -2x + 10

7x + 2x = 10 - 10

9x = 0

x = 0/9

x = 0

The standard matrix for the linear transformation t is

| 3     6 |

| 3    -6 |

The linear transformation of matrix T is given as:

t(x, y) = (3x + 6y, 3x − 6y)

When the above linear transformation is represented as a matrix, we have the following expression

T([x]) =   | 3x + 6y |

  [y]       | 3x  - 6y |

The above linear transformation of matrix can be rewritten as the following product of matrixes

T([x]) =   | 3x + 6y | = | 3     6 | | x |

  [y]       | 3x  - 6y |    | 3    -6 | | y |

From the above equation, the standard matrix for the linear transformation t is

| 3     6 |

| 3    -6 |

Hence, the standard matrix for the linear transformation t is

| 3     6 |

| 3    -6 |

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Answer:

Tan(∠A) is 4/3.

Step-by-step explanation:

To answer this question, we first need a basic understanding of sin, cos, and tan. The sin of an angle is the opposite over hypotenuse, the cos is adjacent over hypotenuse, and the tan is the opposite over adjancent.

Since sin(∠A) is 4/7, that makes 4 the opposite and 7 the hypotenuse.

Since cos(∠A) is 3/7, that makes 3 the adjacent the 7 the hypotenuse again.

So to get tan(∠A), we just have to put 4/3 since that is the opposite over the adjacent.

Answer:

-5

Step-by-step explanation:

4-5=-1

So therefore:

-5+4=-1

Answer:

333,333 Three hundred and thirty-three thousand , three hundred and thirty-three

Step-by-step explanation:

4000000/12

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

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

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Word problems

Simultaneous equation

4b + 3n = $23.50 x2

5b + 2n = $21.50 x3

We solve this equation using the elimination method. By removing necklaces, we can find the cost of a bracelet.

8b + 6n = $47 --- eqn 1

15b + 6n = $64.5 --- eqn 2

Subtract eqn 1 from eqn 2

7b = 17.5

1b = 17.5/7

1b = $2.50

Substitute the value of bracelet into eqn 1 to find the cost of 1 necklace

8(2.5) + 6n = $47

20 + 6n = $47

6n = 47 -20

6n = 27

1n = 27/6

1n = $4.5

1b + 1n = ?

2.50 + 4.50 = $7

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Answer:

16%

Step-by-step explanation:

Solution for 0.40 is what percent of 2.50:

0.40:2.50*100 =

(0.40*100):2.50 =

40:2.50 = 16

Answer:

16%planation:

You forgot the picture

The probability that both coins will show heads the next time the coins are tossed is 3/20.

Probability is the likelihood that an event will occur and is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

From the graph, Total number of outcomes= 7+6+4+3=20

Outcomes for both head =6

Then, P(HH)= 6/20

=3/10

Hence, probability that both coins will show heads is 3/20.

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We are given the following function

We are asked to find the output y when the input x is 10

Simply substitute x = 10 into the function and solve for y

Therefore, the output y is -29 when the input x is 10

Answer:

1001

Step-by-step explanation:

Answer:

1001 (A)

Step-by-step explanation:

The problem of unit root in standard regression and time-series models arises when a variable exhibits a non-stationary behavior, meaning it has a trend or follows a random walk. Unit root tests, such as the Dickey-Fuller and augmented Dickey-Fuller tests, are used to detect the presence of a unit root in a time series. These tests examine whether the coefficient on the lagged value of the variable is significantly different from one, indicating the presence of a unit root.

In standard regression analysis, it is typically assumed that the variables are stationary, meaning they have a constant mean and variance over time. However, many economic and financial variables exhibit non-stationary behavior, where their values are not centered around a fixed mean but instead follow a trend or random walk. This presents a problem because standard regression techniques may produce unreliable results when applied to non-stationary variables.

Time-series models, such as autoregressive integrated moving average (ARIMA) models, are specifically designed to handle non-stationary data. They incorporate differencing techniques to transform the data into a stationary form, allowing for reliable estimation and inference. Differencing involves computing the difference between consecutive observations to remove the trend or random walk component.

The Dickey-Fuller test and augmented Dickey-Fuller test are commonly used to detect the presence of a unit root in a time series. These tests examine the coefficient on the lagged value of the variable in a regression framework. The null hypothesis of the tests is that the variable has a unit root, indicating non-stationarity, while the alternative hypothesis is that the variable is stationary.

The Dickey-Fuller test is a simple version of the test that includes only a single lagged difference of the variable in the regression. The augmented Dickey-Fuller test extends this by including multiple lagged differences to account for potential serial correlation in the data. Both tests provide critical values that can be compared to the test statistic to determine whether the null hypothesis of a unit root can be rejected.

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hmmm let's find hmmm say angle who knows, ∡C, using the law of cosines.

\(\textit{Law of Cosines}\\\\ \cfrac{a^2+b^2-c^2}{2ab}=\cos(C)\implies \cos^{-1}\left(\cfrac{a^2+b^2-c^2}{2ab}\right)=\measuredangle C \\\\[-0.35em] ~\dotfill\\\\ \cos^{-1}\left(\cfrac{18^2+14^2-12^2}{2(18)(14)}\right)=\measuredangle C \implies \cos^{-1}\left(\cfrac{ 376 }{ 504 }\right)=\measuredangle C \\\\\\ \cos^{-1}\left(\cfrac{ 47 }{ 63 }\right)=\measuredangle C\implies \cos^{-1}(0.7460317) \approx \measuredangle C \implies 41.75^o \approx \measuredangle C\)

well then, let's now us the law of sines to get hmm say ∡A

\(\textit{Law of Sines} \\\\ \cfrac{\sin(\measuredangle A)}{a}=\cfrac{\sin(\measuredangle B)}{b}=\cfrac{\sin(\measuredangle C)}{c} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{\sin( A )}{18}\approx\cfrac{\sin( 41.75^o )}{12}\implies 12\sin(A)\approx18\sin(41.75^o) \implies \sin(A)\approx\cfrac{18\sin(41.75^o)}{12} \\\\\\ A\approx\sin^{-1}\left( ~~ \cfrac{18\sin( 41.75^o)}{12} ~~\right)\implies A\approx 87.22^o\)

well, if we subtract ∡C and ∡A from the triangle's interior angle sum, we'll get that ∡B ≈ 51.03°.

We need to decide whether the given equations are always or never true for values of x .The given equations are ,

solve out for x,

\(\longrightarrow x -x =12+1\\ \)

\(\longrightarrow 0 =13\\ \)

This can never be true. Hence the equation is never true for any values of x.

solve out for x,

\(\longrightarrow x -x =\dfrac{3}{4}+\dfrac{3}{4}\\ \)

\(\longrightarrow 0=\dfrac{3}{2}\)

This can never be true. hence the equation is never true for any values of x.

solve out for x,

\(\longrightarrow 4x +12=8x+12-4x\\\)

\(\longrightarrow 4x -8x +4x =12-12\\\)

\(\longrightarrow 0=0\)

hence this equation is true for all values of x.

solve out for x,

\(\longrightarrow 2x -x -x =8+8\\ \)

\(\longrightarrow 0=0 \)

hence the equation is true for all values of x.

solve out for x,

\(\longrightarrow 2x +10+3x =5x-25\\ \)

\(\longrightarrow 5x -5x =-25-10\\\)

\(\longrightarrow 0 =-35\)

This can never be true. hence the equation is never true for any values of x.

and we are done!

Answer: D

Step-by-step explanation:

x represents gallons of gas

domain is what your x's could be

x can't be a negative becausue you can't get negative gallons of gas so

x can't be -4

D

The expression that represents the width of the box is (x - 1) , the correct option is (b) .

In the question ,

it is given that ,

the Volume of the rectangular prism is = x³ + 9x² + 6x – 16

the measure of the length of the box = x+2

the measure of the height of the box = x+8

formula for Volume of Prism is

Volume = l × w × h

where l = length of the prism,

w = width of the prism and

h = height of the prism.

Substituting the values ,

we get ,

x³ \(+\) 9x² \(+\) 6x – 16 \(=\) (x \(+\) 2) * (x \(+\) 8) * width

On dividing the equation  (x³ + 9x² + 6x – 16) with (x+2)

and then dividing the result with (x+8) , we get

width = (x-1) .

Therefore , The expression that represents the width of the box is (x - 1) , the correct option is (b) .

The given question is incomplete , the complete question is

The volume of a rectangular prism is represented by the function x³ + 9x² + 6x – 16. The length of the box is x + 2 while the height is x + 8. Find the expression representing the width of the box

(a) x - 4

(b) x - 1

(c) x + 1

(d) x + 4

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Answer:

B

Step-by-step explanation:

Asked my teacher to help me.

To sketch the curve with polar equation θ = −π/6, we need to plot all the points (r, θ) that satisfy the equation for various values of r. Since θ is fixed at −π/6, all the points will lie on a line at an angle of −π/6 to the positive x-axis.

The value of r can be positive or negative, so we will plot points both above and below the x-axis.

Since r can be any value, we will just choose a few values for illustration purposes. Let's choose r = 1, 2, −1, and −2. Then the corresponding points are:

(1, −π/6), (2, −π/6), (−1, −π/6), and (−2, −π/6)

We can plot these points on a polar coordinate system as follows:

These points lie on a line at an angle of −π/6 to the positive x-axis, as expected. Note that the sign of r determines whether the point lies above or below the x-axis.

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Answer: 20 questions

Step-by-step explanation: 6x - (25 - x)*4 = 100

Answer: 20 correct, 5 incorrect

Step-by-step explanation:

25 question total

Create an equation: 6x(correct) - 4y(incorrect) = 100 (points)

You can guess and check if its easiest for you: 6(20) - 4(5) = 100 points

Check: 120 - 20 = 100 points

100 = 100

Hope this helps :0