What is 192/8? Solve then evaluate.

The slope of the line shown in the graph is __2/3__

and the y-intercept of the line is __6___

The general linear equation is written as follows:

y = ax + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the y-intercept is y = 6, then we can write the line as:

y = ax + 6

The line also passes through the point (-9, 0), replacing these values in the line we will get:

0 = a*-9 + 6

9a = 6

a = 6/9

a = 2/3

That is the slope.

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We can see here that the problem that can be solved using synthetic division is: A. \(\frac{2y^{2} + 4y - 6}{y-1}\)

Synthetic division is a simplified method of polynomial division, used to divide a polynomial by a linear factor of the form (x - a). This method can be used to quickly evaluate a polynomial for a particular value of x, or to find the roots of a polynomial equation.

In order to solve with synthetic division, we have:

Step 1: Make the denominator to equal zero. The numerator is written in descending order.

Step 2: Bring the first number or the leading coefficient straight down.

Step 3: Put the result in the next column by multiplying the number in the division box with the number you brought down.

Step 4: Write the result at the bottom of the row by adding the two numbers together

Step 5: Until you reach the end of the problem, repeat steps 3 and 4.

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Answer: No

Step-by-step explanation:

A proportional relationship can be represented by y = kx, for some constant k. This means the graph should be a line, which is not shown. Thus, the graph does not represent a proportional relationship.

Answer:

no

Step-by-step explanation:

because it does not represent any propotional relationship.

Answer:

B.

Step-by-step explanation:

2 out of the 6 squares are shaded. 1/3 times 2 = 2/6

Hope that helps!

Answer:

[B]

Step-by-step explanation:

We can cross multiply to see which is equal

[A] 1 out of 6 is shaded [1/6]

1/6 < 1/3

[B] 2  out of 6 is shaded [2/6]

2/6 = 1/3

[C] 3 out of 6 is shaded [3/6]

3/6 > 1/3

[D] 4 out of 6 is shaded [4/6]

4/6 > 1/3

As you can see [B] is equal to 1/3

Thus, [B} is the answer.

~Learn with Lenvy~

Answer:

  V = 11 +3j volts

Step-by-step explanation:

You want the voltage in a circuit with current (3 -j) and impedance (3 +2j).

The voltage is the product of current and impedance.

  V = (3 -j)(3 +2j) = 3(3 +2j) -j(3 +2j)

  = 9 +6j -3j -2j² = 9 -2(-1) +(6 -3)j

  = 11 +3j

The voltage is V = 11 +3j.

__

Additional comment

In electronics, the letter j is used in place of the letter i to mean √(-1). This is because i means something else. (Here, i is used for "impedance." It is conventionally used for "current.")

The multiplication is carried out as though the values were polynomials. In the end, j² is replaced by -1.

<95141404393>

Answer:

11

Step-by-step explanation:

the functions that are onto are A, C, D, and E.

To determine which of the functions are onto, we need to check if every element in the codomain has a corresponding preimage in the domain.

Let's analyze each function:

A. ƒ : R³ → R³ defined by ƒ(x, y, z) = (x + y, y + z, x + z)

In this case, every element in R³ has a corresponding preimage in R³, so function ƒ is onto.

B. ƒ : R → R defined by ƒ(x) = x²

In this case, the function maps every real number x to its square, which means that negative numbers do not have a preimage. Therefore, function ƒ is not onto.

C. ƒ : R → R defined by ƒ(x) = x³

In this case, every real number has a corresponding preimage, so function ƒ is onto.

D. ƒ : R → R defined by ƒ(x) = x³ + x

Similar to the previous case, every real number has a corresponding preimage, so function ƒ is onto.

E. ƒ : R² → R² defined by ƒ(x, y) = (x + y, 2x + 2y)

In this case, every element in R² has a corresponding preimage in R², so function ƒ is onto.

In summary:

- Functions A, C, D, and E are onto.

- Function B is not onto.

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Answer:

B-10% discount on price

Step-by-step explanation:

A - $1050 - 80 = $970

B - $900 + $45 = $945

C - $1000

D - $1025 - $985

Answer:

store b

Step-by-step explanation:

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

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

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

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:

1888 ounces bags of dried dill can be made

Addition: Addition is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division. The addition of two whole numbers results in the total amount or sum of those values combined

let us consider that, x = dried cilantro , y = dried dill

so by the given information we can write addition of dried cilantro an dried dill is equal to 253

x + y = 253

and also said that container of dried cilantro is 17 pounds heavier than that of container of dried dill so we can write, x = y + 17

substitute the value of x in the 1st equation

y + 17 + y = 253

2y + 17 = 253

2y = 253 - 17

2y = 236

y = 236/2

y = 118

so there is 118 pounds of

and it will be sold in 1 ounce bags

we know, 1 pound = 16 ounces

so 118 pounds = (118×16) = 1888 ounces

which will make 1888 ounces bags

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Answer:

You may make dried dill in 1888 ounce bags.

Step-by-step explanation:

What does addition mean?

One of the four fundamental operations in mathematics is addition. The other three are subtraction, multiplication, and division. When two whole numbers are added, the sum or total of those values is obtained.

Consider that x represents dried cilantro and y represents dry dill.

So, using the information provided, we can say that adding dry cilantro and dried dill equals 253.

x + y = 253

and added that a container of dried cilantro weighs 17 pounds more than a container of dried dill, leading us to derive the equation x = y + 17

substitute the value of x in the 1st equation

y + 17 + y = 253

2y + 17 = 253

2y = 253 - 17

2y = 236

y = 236/2

y = 118

so there is 118 pounds of

and it will be sold in 1 ounce bags

we know, 1 pound = 16 ounces

so 118 pounds = (118×16) = 1888 ounces

which will make 1888 ounces bags.

To find the coordinates of the centroid for the region bounded by the curves y=16x, y=9/x, y=0, and x=10, we need to calculate the x-coordinate and y-coordinate of the centroid separately. First, let's find the x-coordinate of the centroid.

We can use the formula: x-bar = (1/A) ∫[a,b] xf(x) dx, where A is the area of the region. The intersection points of the curves y=16x and y=9/x can be found by setting the equations equal to each other: 16x=9/x.

Solving this equation, we get x=±√(9/16)=±3/4. Since the region is bounded by x=10, we take the positive value x=3/4. To find the area A, we integrate the difference between the curves: A=∫[3/4,10] (16x-9/x) dx. Evaluating this integral, we find A=400-9ln(10).

Now we can calculate the x-coordinate of the centroid: x-bar=(1/A) ∫[3/4,10] x(16x-9/x) dx. Simplifying the integral and evaluating it, we get x-bar=(8160-36ln(10))/(400-9ln(10)). Next, let's find the y-coordinate of the centroid.

Since the region is symmetric about the x-axis, the y-coordinate of the centroid will be y-bar=0. Therefore, the exact coordinates of the centroid for the given region are: (x-bar, y-bar)=((8160-36ln(10))/(400-9ln(10)), 0).

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Answer:

That depends on how accurate you are with pen and paper.

You can tell it's a growing exponential, so the form is the traditional one. If you are particularly inclined in crunching numbers and working on a grid I would pick 0, 1 and -1, 1/2 and -1/2, a few positive integers, and that's it.

If not, i would be satisfied saying that when x = 0 (ie, the y intercept) y= 3, and that's all. Then, my drawing is made with paint, don't expect a masterpiece.

The magnitude of the vector will be 6.7. The correct option is A.

A two-dimensional object with both magnitude and direction is a vector. A directed line segment can be used to graphically represent a vector.

Given that the vector is 3i + 6j. The magnitude of the vector is calculated as:-

V = √ ( a² + b² )

V = √ ( 3² + 6² )

V = √ ( 9 + 36 )

V = √45

V = 6.7

The value of the magnitude of the vector will be equal to 6.7. Option A is correct.

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Answer:

6.7

Step-by-step explanation:

Use the origin as the initial point. Then, <3, 6>

is the terminal point.

To find the magnitude, use the Distance Formula.

|<3, 6>|=(3−0)2+(6−0)2−−−−−−−−−−−−−−−√

=9+36−−−−−√

=45−−√

≈6.7

Answer:

D and E

Hope this help for you

Red

Answer:

the reasoning for 1 2 and 3 are given and then the statement for 4 is triangle abc = triangle cde and its reasoning is sss theorem (side-side-side)

Step-by-step explanation:

1, 2 and 3 are basically given and then 4 is SSS Theorem since all three sides of the first triangle are equal to all three sides of the second triangle

To find the reduced row-echelon form

�

�

A

R

​

 of matrix

�

A, we can use row operations. Here are the steps:

Step 1: Perform row operations to create zeros below the leading coefficient of the first row:

R2 = R2 - (1/3)R1

R3 = R3 - (4/3)R1

The matrix after Step 1 becomes:

(

3

2

−

12

0

−

5

3

5

0

−

5

3

5

)

⎝

⎛

​

3

0

0

​

2

−

3

5

​

−

3

5

​

​

−12

5

5

​

⎠

⎞

​

Step 2: Perform row operations to create a leading coefficient of 1 in the second row:

R2 = -\frac{3}{5}R2

The matrix after Step 2 becomes:

(

3

2

−

12

0

1

−

1

0

−

5

3

5

)

⎝

⎛

​

3

0

0

​

2

1

−

3

5

​

​

−12

−1

5

​

⎠

⎞

​

Step 3: Perform row operations to create zeros above and below the leading coefficient of the second row:

R1 = R1 - 2R2

R3 = R3 + \frac{5}{3}R2

The matrix after Step 3 becomes:

(

3

0

−

10

0

1

−

1

0

0

0

)

⎝

⎛

​

3

0

0

​

0

1

0

​

−10

−1

0

​

⎠

⎞

​

Step 4: Perform row operations to create a leading coefficient of 1 in the first row:

R1 = \frac{1}{3}R1

The matrix after Step 4 becomes:

(

1

0

−

10

3

0

1

−

1

0

0

0

)

⎝

⎛

​

1

0

0

​

0

1

0

​

−

3

10

​

−1

0

​

⎠

⎞

​

The reduced row-echelon form

�

�

A

R

​

 of matrix

�

A is:

�

�

=

(

1

0

−

10

3

0

1

−

1

0

0

0

)

A

R

​

=

⎝

⎛

​

1

0

0

​

0

1

0

​

−

3

10

​

−1

0

​

⎠

⎞

​

To find the matrix

Ω

Ω such that

Ω

�

=

�

�

ΩA=A

R

​

, we perform the same row operations on the identity matrix:

Ω

=

(

1

3

0

0

0

−

3

5

0

0

5

3

1

)

Ω=

⎝

⎛

​

3

1

​

0

0

​

0

−

5

3

​

3

5

​

​

0

0

1

​

⎠

⎞

​

Therefore,

Ω

�

=

�

�

ΩA=A

R

The equation y=1 represents a line Perpendicular to x=0.

The equation x=0 represents a vertical line passing through the point (0,0) on the x-axis. A line perpendicular to this line will be a horizontal line passing through the point (0, c) where c is a constant.

So, the equation of the line perpendicular to x=0 is y = c, where c is any constant.

Among the given options, the equation that represents a horizontal line is:

� = 1 y=1

Therefore, the equation y=1 represents a line perpendicular to x=0.

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Answer:

Yes, they are totally correct, I've checked with a calculator

To calculate how much Brianne needs to save each month, we'll subtract her current savings and her monthly income from her total expenses.

1. Total expenses:

  - Airfare: $1500

  - Backpack: $150

  - Spending money: $1000

  Total expenses: $1500 + $150 + $1000 = $2650

2. Current savings: $40

3. Monthly income:

  - Job at Porto's: $50/week * 4 weeks = $200/month

  - Extra chores: $1200/month

  Total monthly income: $200 + $1200 = $1400

4. Amount needed to save each month:

  Total expenses - Current savings - Monthly income = $2650 - $40 - $1400 = $1210

Therefore, Brianne needs to save $1210 each month to reach her total expenses for the European trip leaving in 5 months.

If she wanted to leave in 3 months instead, she would have less time to save. In that case, the calculation would be as follows:

1. Total expenses: $2650

2. Current savings: $40

3. Monthly income: $1400

4. Number of months: 3

5. Amount needed to save each month:

  (Total expenses - Current savings) / Number of months

  = ($2650 - $40) / 3

  ≈ $870 / 3

  ≈ $290

Therefore, if Brianne wanted to leave in 3 months, she would need to save approximately $290 each month to reach her total expenses for the European trip.

Answer:

Area covered by beam = 530 mi² (Approx.)

Step-by-step explanation:

Given:

Radius = 15 mi

Arc angle = 270°

Find:

Area covered by beam

Computation:

Area of sector = [θ/360][π][r²]

Area covered by beam = [270/360][22/7][15²]

Area covered by beam = [0.75][3.1428][225]

Area covered by beam = 530 mi² (Approx.)

1. Numbers going up in value - Ascending order

2. The number being divided - Dividend

3. Numbers going down in value - Descending order

4. An approximate value close to the actual value - Estimation

5. The number divided by - Divisor

Numbers in ascending order are those in which the value is increasing. Similar to ascending order, descending order refers to numbers whose values are decreasing.

Dividends are numbers that get divided, and divisors are numbers that divide dividends.

It is said that an estimate is the closest value to the actual value or the approximate value.

1. numbers going up in value

2. the number being divided  

3. numbers going down in value  

4. an approximate value close to the actual value

5. the number divided by

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Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

Answer:

y=2x+1

Step-by-step explanation:

Answer: The answer is 6

Step-by-step explanation: 3x-15=3 Add 15 to both side

3x=18 Divide 3 to both side

3=  3

x=6   The answer

Answer:

m = 0.28571428571

or 0.29(to the nearest tenth)

Step-by-step explanation:

First, distribute

12(−1.4m+0.4)=

-16.8m + 4.8 =

Now move the constant to the right.

-16.8m + 4.8 =

-16.8m = -4.8 =

Now divide,

-16.8m = -4.8 =

m = 0.28 or 0.29

Hello,

\(4 - 2x > 7 -3x\)

\(3x - 2x > 7 - 4\)

\(x > 3\)

S = ] 3 ; +∞ [

The first five terms of the given sequence are 1, 4, 0, 16, and 0.

The given sequence is a geometric sequence whose nth term is aₙ = {1+(-1)ⁿ}ⁿ. We need to find the first five terms of this sequence.

A geometric sequence is a sequence in which each term after the first is obtained by multiplying the preceding term by a fixed non-zero number called the common ratio, which is denoted by r.

Therefore, to find the first five terms of the sequence, we can substitute values of n and simplify to obtain each term as follows: For n = 1:a₁ = {1 + (-1)¹}¹= {1 + (-1)}¹= 0¹= 1Therefore, a₁ = 1For n = 2:a₂ = {1 + (-1)²}²= {1 + 1}²= 2²= 4

Therefore, a₂ = 4For n = 3:a₃ = {1 + (-1)³}³= {1 - 1}³= 0³= 0Therefore, a₃ = 0For n = 4:a₄ = {1 + (-1)⁴}⁴= {1 + 1}⁴= 2⁴= 16

Therefore, a₄ = 16For n = 5:a₅ = {1 + (-1)⁵}⁵= {1 - 1}⁵= 0⁵= 0 Therefore, a₅ = 0 Hence, the first five terms of the given sequence are 1, 4, 0, 16, and 0.

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Answer:

820 in profit

Step-by-step explanation:

The artist makes $82 in profit on each painting. 82 x 10 is 820

Answer:

D. Translate ΔPQR by the rule (x + 1, y − 1), and dilate ΔP′Q′R′ by a scale factor of 2 from point R.

Step-by-step explanation:

I got it correct on the quiz, so you should to. Trust Me.

Answer: D: Translate ΔPQR by the rule (x + 1, y − 1), and dilate ΔP′Q′R′ by a scale factor of 2 from point R.

Step-by-step explanation: