I need help with this!

The resultant of subtraction of both vectors is

|r - s| = √(r² + s² - 2rscos{15})

A vector is an object that has both a magnitude and a direction.

Given is that |r| = 6 at an angle of 30° and |s| = 11 at an angle of 225°.

For the subtraction of vectors, we can write its magnitude as -

|r - s| = √(r² + s² - 2rscos{15})

Therefore, the resultant of subtraction of both vectors is

|r - s| = √(r² + s² - 2rscos{15})

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Heather spend $33.1 on school supplies.

Two or more expressions with an Equal sign is called as Equation.

Given that Melinda, Zachary, and heather went to the mall to shop for school supplies

Melinda spent $14.25 on her supplies.

Melinda=$14.25

Zachary spent $2.30 more than Melinda spent

Zachary=$14.25+$2.3

=$16.55

Heather spent 2 times as much money as Zachary spent

Heather=2×$16.55

=$33.1

Hence, Heather spend $33.1 on school supplies.

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The  polynomial has the zeros 1,-2i and 3 is =  x³ - 5x² + 11x -15.

A polynomial is an equation made up of variables, constants, and exponents that are mixed using mathematical operations including addition, subtraction, multiplication, as well as division (No division operation by a variable).

A polynomial function is a function that only uses non-negative numeric powers or only positive integer exponents of something like a variable in an equation, such as the quadratic equation, cubic equation, etc. As an illustration, the polynomial 2x+5 has an exponent of 1.

given zeros are 1-2i and 3 .

The polynomial function  p(x) is

[x - (1+2i)] × [x - (1 - 2i)] × (x - 3)

[(x - 1) - 2i] × [(x - 1) + 2i] × (x - 3)

[(x - 1)² - (2i)² × (x - 3)]

∴ (x² - 2x + 1 + 4)(x - 3)

∴  (x² - 2x + 5)(x - 3)

The  polynomial has the zeros 1,-2i and 3 is =  x³ - 5x² + 11x -15.

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Answer:

- 2x +29

Step-by-step explanation:

Open up the parenthesis, then simplify

14 + 5x + 15 - 7x

5x - 7x + 14 + 15

-2x + 29

[tex]14+5(x+3) - 7x[/tex]

Distribute:

[tex]14+(5)(x)+(5)(3)-7x[/tex]

[tex]14+5x+15-7x[/tex]

Combine Like Terms:

[tex](5x-7x)+(14+15)[/tex]

[tex]\fbox{-2x + 29}[/tex]

22 cards were sold by the Anand.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Bob's Gift Shop sold 550 cards for Mother's Day.

One salesman, Anand, sold 4% of the cards sold for Mother's Day.

We need to find the number of cards sold by Anand

Convert 4% to decimal by dividing 4 by 100

4/100=0.04

Now multiply 0.04 with 550

0.04×550

22

Hence, 22 cards were sold by the Anand.

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Answer:

You started correctly....

Step-by-step explanation:

d = c/n      Multiply both sides by 'n'

dn = c        now divide both sides of the equation by 'd'

n = c/d       Done.

Answer:

4/15

Step-by-step explanation:

find common denominators, which is 15

multiply 2/3 by 5 and and 2/5 by 3

2 x 5 = 10 and

3 x 5 = 15

10/15

2 x 3 = 6 and

5 x 3 = 15

6/15

subtract numerators

10 - 6

 15

= 4/15

The result of the product of the given complex numbers as required to be determined is; Choice C; -5 + 14i.

It follows from the task content that the result of the product of the given complex numbers is to be determined.

On this note, since the required product to be evaluated is; (–4 + i) (2 – 3i).

We can therefore multiply as follows;

-8 + 12i + 2i - 3i².

However, it is noteworthy to know that; i² = -1.

Hence, we have that;

-8 + 14i + 3

= -5 + 14i

On this note, it follows that the result of the product of complex numbers as required is; -5 + 14i.

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Answer: y= -6x+4/5

Step-by-step explanation: We will compare these equations with standard form y=mx+c where m is the slope of the line and c is the y-intercept.

for line y= -6x+4/5

on comparing with y= mx+c

we have m= -6 and c= 4/5.

So, the first option is correct.

Total cost is the sum of all expenses incurred to produce a particular type of product. The answer is $1.50.

Total cost is the sum of all expenses incurred to produce a specific kind of output. Financial reporting, when overhead costs must be allocated to specific assets, is where the total cost approach is more useful from an accounting standpoint.

$8 was spent in total.

Xavier bought four $1.25 snacks.

4 x 1.25 = $5

The 2 cans cost $3 because 5 + 3 = 8, and we know how much the snacks cost ($5), making the total cost ($8).

Each can cost $1.50 because, if the price of the two cans was $3, we would have to divide it by two to get the price of the second can, which comes out to be $1.50. As a result, each can was $1.50.

Therefore, the answer is $1.50.

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Answer:

it's equal to = 242 =484. I think so that's the right answer please

To solve this we must be knowing each and every concept related to triangle. Therefore, the angle bisector is indeed the ray, line, or fragment that splits a particular angle in two equal pieces.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The denotes a triangle having vertex A, B, and C. In Euclidean geometry, every three non-collinear points define a unique triangle and, by extension, a unique plane.

In geometry, the angle bisector is indeed the ray, line, or fragment that splits a particular angle in two equal pieces.

Therefore, the angle bisector is indeed the ray, line, or fragment that splits a particular angle in two equal pieces.

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Answer:

The fourth graph since it passes the vertical line test.

Each input has one output.

Hope this helps :)

Answer:x/6

Step-by-step explanation:

Here the value of x is not given and hence the answer to the question is

x/6

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All of the equations which the number 10³ makes true include the following:

B. 0.305 × __ = 305

C. 0.54 × __ = 540

In this exercise, you are required to determine the equations which the number 10³ makes true. This ultimately implies that, we would substitute the number 10³ into each of the given equations as follows;

6.01 × 10³ = 601

By expanding the exponent, we have the following equation:

6.01 × 1,000 = 601

6010 = 601 (False).

0.305 × 10³ = 305

By expanding the exponent, we have the following equation:

0.305 × 1,000 = 305

305 = 305 (True).

0.54 × 10³ = 540

By expanding the exponent, we have the following equation:

0.54 × 1,000 = 540

540 = 540 (True).

0.097 × 10³ = 970

By expanding the exponent, we have the following equation:

0.097 × 1,000 = 970

97 = 970 (False).

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The equation that presents the table will be C(t) = - t² + 5. Then the correct option is C.

Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.

Then the equation of the parabola will be given as,

y = a(x - h)² + k

The table represents a quadratic function C(t).

 t          C(t)

−2           1

−1           4

0           5

 1           4

2            1

From the table, the coordinate of the vertex will be at (0, 5). Then the equation is given as,

C(t) = a(t - 0)² + 5

C(t) = at² + 5

The equation is passing through the point (1, 4), then we have

4 = a (1²) + 5

4 = a + 5

a = - 1

The equation that presents the table will be C(t) = - t² + 5. Then the correct option is C.

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x+y≥11 and 8x+4y=80 are system of inequalities and the number of tacos are two.

a relationship between two expressions or values that are not equal to each other is called 'inequality.

Given that Rahul and his children went into a restaurant that sells hamburgers for $8 each and

tacos for $4 each.

Rahul has $80 to spend and must buy at least 11 hamburgers and tacos altogether.

Let  x represents the number of hamburgers purchased and y represents the number of tacos purchased,

x+y≥11...(1)

8x+4y=80..(2)

8(11-y)+4y=80

88-8y+4y=80

88-4y=80

8=4y

y≥2

Hence, x+y≥11 and 8x+4y=80 are system of inequalities and the number of tacos are two.

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Dana's estimated length was 66.67% far off the actual length and her estimated width was 25% far off the actual width.

Percent error is the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage. In other words, the percent error is the relative error multiplied by 100.

Percent Error Formula

The formula for percent error is:

PE = (|Estimated value-Actual value|/ Actual value) × 100

Given,

Actual length of the book = 24 cm

Actual width of the book = 16 cm

Dana's estimated length of the book = 40 cm

Dana's estimated width of the book = 20 cm

Error in measurement of length of the book =

(Measured Length - Actual Length/Actual length) × 100

= (40 - 24/24) ×100 = 66.67%

Error in measurement of width of the book =

(Measured width - Actual width/Actual width) × 100

= (20 - 16 / 16) × 100 = 25%

Hence, Dana's estimated length and breadth was 66.67% and 25% far off the actual length and width of the book respectively.

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There were 8 roses on each bushes

Gemma has 3 rose bushes

Each bush has the same number of roses

She picks 4 of the roses

After picking the roses, there are 20 left in the bushes

Therefore the number of rose on each bush can be calculated as follows

20 + 4

= 24

24/3

= 8

Hence there are 8 roses in each bush

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Answer:

A. 4

Step-by-step explanation:

4 is a positive number which is larger to 3 and bigger than negative numbers.

Answer:

Step-by-step explanation:

i\        

i  \

i   \

i    /

i  /

Therefore ,answering the offered question, we can state that the figure's surface area is SA = 2(9 11+11 9+11 * 11), which equals SA = 638 in2.

Surface area is a measure of how much space an object's surface takes up overall. The total area of a three-dimensional shape's surroundings is its surface area. Surface area refers to the total surface area of a three-dimensional shape. You may compute the contact area of a cube with six square faces by adding together their individual areas. Alternatively, you can use the following formula to name the box's dimensions: Surfaces (SA) = 21 h + 2 lw + 2 hw. A tri shape's surface area is calculated as the total amount of space it occupies.

Here,

Front = rear = 11*11

top = bottom = 9*11

sides = 11*9;

SA= 2(911+119+1111)

SA=2(9999 +121)

SA = 2(319) (319)

SA = 638 in²

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Answer:

Step-by-step explanation:

In the last part of the problem, you have to follow PEMDAS.

Instead of you added before dividing. After the step of 36÷3+9x2 you have to divide.

Answer:

To solve this problem, we can set up the following equation:

Huilan's age + Thomas's age = 79

Let H be Huilan's age and T be Thomas's age. We can then rewrite the equation as:

H + T = 79

We are told that Huilan is 7 years older than Thomas, so we can write the following equation:

H = T + 7

Substituting the second equation into the first equation, we get:

(T + 7) + T = 79

Combining like terms, we get:

2T + 7 = 79

Subtracting 7 from both sides, we get:

2T = 72

Dividing both sides by 2, we get:

T = 36

Therefore, Thomas's age is 36 years.

Step-by-step explanation:

Answer:

let Thomas age be a

there fore, hullans age is a+7

(a+7)+a=79

2a=79-7

2a=72

a=36

The value of the angle theta is 58 degrees

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

Sin 0=0.85

Express the angle in the equation properly

So, we have the following representation

sin(Ф) = 0.85

Take the arc sin of both sides of the equation

So, we have the following representation

sin⁻¹(sin(Ф)) = sin⁻¹(0.85)

Evaluate the arc sin of one side of the equation

So, we have the following representation

Ф = sin⁻¹(0.85)

Evaluate the arc sin of the other side of the equation

So, we have the following representation

Ф = 58.2116693829

Approximate the equation

Ф = 58 degrees

Hence, the solution is 58 degrees

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A tank that is 80 cm tall and has a base that is 60 cm by 75 cm.

To find the volume of the tank, you can use the formula for the volume of a rectangular prism, which is:

Volume = length * width * height

Using the dimensions given, we can plug them into the formula as follows:

Volume = 60 cm * 75 cm * 80 cm = 4,500 cm^3

This means that the tank has a volume of 4,500 cubic centimeters, and it would take 4,500 cubic centimeters of water to fill it up

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Answer:

Step-by-step explanation:

To find the volume of water that will fill up a tank that is 80 cm tall, 60 cm wide, and 75 cm deep, you can use the formula for the volume of a rectangular prism. The formula for the volume of a rectangular prism is length x width x height, so in this case, the formula would be:

60 cm x 75 cm x 80 cm = 36,000 cm^3

So the volume of water that will fill up the tank is 36,000 cubic centimeters.

Alternatively this also can be written as 806075 cubic cms

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R = (ax - p)/(q + bx)

(ax - p) = R(q + bx)

ax - p = Rq + Rbx

ax - Rbx = Rq + p

x(a - Rb) = Rq + p

x = (Rq + p)/(a - Rb)