a. Rotate the vector fv = (- 3 , 5) by 270⁰. What is the component form of the resulting vector?

The required length of a rectangle in simplest form is (a + 10) / 3(a + 8).

What is a rectangle?

A rectangle is a geometrically closed figure with four sides in which the opposite pair of sides are equal to each other. The angle at all the vertices of the rectangle is 90 degrees.

The calculation for the length of a rectangle in simplest form.

Given the value of the width of a rectangle = (a + 10) / 3 a + 24

The length of a rectangle in the simplest form is given by: (a + 10) / 3(a + 8)

Hence, the required length of a rectangle is (a + 10) / 3(a + 8).

To learn more about the rectangle, visit here:

https://brainly.com/question/16239445

#SPJ4

Answer:

66

Step-by-step explanation:

63% of 109 is 68.67 the closest answer is 66

[tex]y =\begin{cases}x + 1 \: \: \: \: \: \: \: \: x >2\\x + 2 \: \: \: \: \: \: \: \: x \leqslant 2\end{cases}[/tex]

According to the graph,

Let y = [tex]{m_1}[/tex]x + [tex]b_1[/tex] [[tex]b_1[/tex] = 2]

when x = -2 , y = 0

-2[tex]m_1[/tex] + 2 = 0 [[tex]{m_1}[/tex] = 1]

→ So when x ≤ 2 , y = x + 2

Let y = [tex]m_2[/tex]x + [tex]b_2[/tex]

[tex]m_2 = \frac{4 - 3}{3 - 2} = 1 \: \: \: \: \: \: \: \: \: \: [m = \frac{y_2 - y_1}{x_2 - x_1} ][/tex]

when x = 2 , y = 3

3 = 2 × 1 + [tex]b_2[/tex] , [tex]b_2[/tex] = 1

→ So when x > 2 , y = x + 1

[tex]y =\begin{cases}x + 1 \: \: \: \: \: \: \: \: x >2\\x + 2 \: \: \: \: \: \: \: \: x \leqslant 2\end{cases}[/tex]

After dividing the paint in each container there are 3.65 liters of paint in each container.

what is division?

in the process of dividing a number up into equals parts and getting how many same numbers can be made. this process opposite of multiplication.

Quantity of red paint = 6.54 liters

Quantity of blue paint = 6.09 liters

by addition, quantity of purple paint = 12.63 liters

According to the question 1.68 liters paint left over then remaining paint by Subtraction = 10.95 liters 10.95 liters paints divided into 3 containers then the paint in each container is 3.65 liters.

Read more about Subtraction here:

https://brainly.com/question/2346316

#SPJ4

The equation that is equivalent to the slope formula is y₂ = m(x₂ - x₁) + y₁

An equation is an expression that shows the relationship between two or more numbers and variables.

The slope between two points A(x₁, y₁) and B(x₂, y₂) is:

Slope (m) = (y₂ - y₁) / (x₂ - x₁)

m = (y₂ - y₁) / (x₂ - x₁)

m(x₂ - x₁) = y₂ - y₁

y₂ = m(x₂ - x₁) + y₁

The equation that is equivalent to the slope formula is y₂ = m(x₂ - x₁) + y₁

Find out more on equation at: https://brainly.com/question/13763238

#SPJ1

Answer:

(2/x) - 9x

Step-by-step explanation:

si una de las respuestas se ve así, elija esa.

The expanded form of the equation log₂ (2 y-4)³ is 3log₂(2y -4).

An expanded form is a method of writing a number through adding the digit values. A place value chart can help us think about the worth of a number's digits. Logarithms can be expanded by writing them as a sum as well as difference of logarithms, using the power rule if necessary. The order summation rule, product rule, as well as power rule are frequently useful.

Expanding the equation  log₂ (2 y-4)³:

log₂ (2 y-4)³

applying the log rule logₐxᵇ = b*logₐ(x)

so that

3log₂(2y -4)

The expanded form of the equation log₂ (2 y-4)³ is 3log₂(2y -4).

To know more about Logarithms property visit:

https://brainly.com/question/12049968

#SPJ4

Answer:

Linear pair of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines. The sum of angles of a linear pair is always equal to 180°. Such angles are also known as supplementary angles.

Step-by-step explanation:

If there is a pair of adjacent angles, then this pair is a linear pair if the sum of the (measures of the) two angles will be 180°. So, linear pair of angles always add up to 180°. For example, the linear pair of 30° is 150°, the linear pair of 70° is 110°, etc.

These two angles form a linear pair. We have found all four linear pairs of angles. The four linear pairs formed by the intersecting lines ←→QR Q R ↔ and ←→ST S T ↔ are ∠SOQ ∠ S O Q and ∠QOT ∠ Q O T , ∠QOT ∠ Q O T and ∠TOR ∠ T O R , ∠TOR ∠ T O R and ∠ROS ∠ R O S , and ∠ROS ∠ R O S and ∠SOQ ∠ S O Q .

Answer:

In standard form 7.4 × 10^-2

Step-by-step explanation:

Answer:

7.4×10^-2

Step-by-step explanation:

Firstly, to convert 0.074 to standard form you will bring the first significant figure and make it the first I.e 7.4 then count how many times you took it backwards to make it 7.4 then put a negative sign in front of it because you took it backwards

The height of the triangle has a measure of 2⁻⁴ units, that is equivalent to a measure of 1 / 2⁴ units.

The statement indicates the dimensions of a triangle, where the base and the height of the figure are expressed by exponential numbers with positive integer base and negative integer exponents and each of which must be rewritten with positive exponents, this can be done by using the following power property:

a⁻ⁿ = 1 / aⁿ

Then, if the height of the triangle has a measure of 2⁻⁴ units, that is equivalent to a measure of 1 / 2⁴ units.

To learn more on exponential numbers: https://brainly.com/question/544958

#SPJ1

Based on the sample space, the probability of P(32) is 1/90

The probability of an event is the chance or the likelihood that the event would occur.

Note that the chance or the likelihood is represented as a numerical value

The sample space is given as

Space = two-digit numbers

There are 90 two-digit numbers

So, the sample size is

Size = 90

There is only one two-digit number with the value 32

So, we have

n(32) = 1

The probability of selecting 32 is

P(32) = n(32)/Size

So, we have

P(32) = 1/90

Hence, the probability of P(32) is 1/90

Read more about probability at

https://brainly.com/question/251701

#SPJ1

Answer:

(6*2)+(10*1)+(2*3)+(1*8)

Step-by-step explanation:

6 notebooks for 2 dollars each: 6*2 dollars spent

10 folders for 1 dollar each: 10*1 dollars spent

2 packs of pencils for 3 dollars each: 2*3 dollars spent

1 lunch box for 8 dollars each: 1*8 dollars spent

Add all the dollars spent per item type for total dollars spent

An expression does not have an equal sign

The amount Nicole's mother owe her for babysitting is 9.48 dollars.

She ordered a volleyball for $9.75, a net for $29.99, and knee pads for $15.00.

Nicole's mother said that she would pay for the order on her credit card if Nicole gave her the money.

Nicole gave her mother $40.00 .

Her mother also applied the money that she owed Nicole for babysitting.

Nicole's mother then gave her back $5.26.

The amount Nicole's mother owe her for babysitting can be calculated as follows;

Therefore, the total amount for the order is

$9.75 + $29.99 + $15.00 = $54.74

let the money her mother owes her  =  x

Therefore,

x + 40 + 5.26 = 54.74

x = 54.74 - 40 - 5.26

x = 54.74 - 45.26

x = 9.48

Therefore, the amount Nicole's mother owe her for babysitting is 9.48 dollars.

learn more on orders and credits here: https://brainly.com/question/18296834

#SPJ1

Step-by-step explanation:

what did your teacher do in class ? nothing ?

it is really not that complicated :

the slope of a line is the ratio (y coordinate change / x coordinate change) when going from one point on the line to another.

it tells us how many units y changes when x changes by a certain number of units.

e.g. a slope of 2 = 2/1 means that when we increase x by 1, y increases by 2.

a positive slope means that the line goes up (seen while going from left to right).

a negative slope means that the line goes down.

therefore, a slope of 0 means a flat, horizontal line.

while for a vertical line the slope is the result of a division by 0 and is therefore undefined (some like to symbolize this by infinity).

parallel simply means to have the same slope. parallel lines imitate each other's behavior and attributes perfectly except for the absolute physical location.

perpendicular (at a 90° angle) slopes now simply turn x and y in the ratio upside-down and flip the overall sign of the slope.

e.g. the perpendicular slope of 2 = 2/1 is -1/2.

oh, and the slope of a function or curve that is not a line ?

then we go point by point, as the function does not have one slope for everything. and the slope of the function at a particular point is the slope of the tangent line at that point.

all clear now ?

Answer:

-70

Step-by-step explanation:

you didn't put the function so sorry if it is wrong

The annual academic scholarship amount is $15000.

This problem can be solved by unitary method and also by addition and subtraction.

Total annual tuition fee of Marshal is $20000.

His annual earning through the scholarship is $11000.

He also took an loan of about $20000 from student loan.

Total fee for the four years Bachelor's degree in Physics is = $20000×4

                                                                                                   = $80000

He cleared $20000 by student loan then remaining amount

 =(80000-200000)

 = $60000

Then the amount he earned through the scholarship program in total to clear the dues = $60000

Annual amount of scholarship is =$15000

To learn more about unitary method visit the link:

https://brainly.com/question/21648365

#SPJ9

After expanding logarithm equation is : [tex]3.log_3(xy^\frac{1}{3} + z^2)[/tex]

In, mathematics a logarithmic equation is inverse of exponential equation. That means, we can easily convert the logarithmic equation into exponential equation and vice versa. The basic form of the logarithm function can be written as  .

   [tex]log_ax=N[/tex]

where, a is the base of function or equation

           x define expression

Mathematically, if  [tex]a^N=x[/tex]  is an exponential function then, this can be converted to logarithmic function as  [tex]log_ax=N[/tex].

There are many formulas that are given to us for solving several simple and complex problems based on logarithmic functions and logarithmic equations.

Some important formulas of logarithms are :

The given expression can be written as,

[tex]log_3[xy^\frac{1}{3} + z^2]^3[/tex]

apply formulas log a^x = x log a

=> [tex]3.log_3(xy^\frac{1}{3} + z^2)[/tex]

Thus, after expanding the logarithm equation is : [tex]3.log_3(xy^\frac{1}{3} + z^2)[/tex]

To know more about logarithms, visit :

brainly.com/question/5956809

#SPJ4

The missing angles of the Triangle are; ∠1 = 62°; ∠2 = 45° and ∠3 = 22°.

We know that the sum of angles on a straight line is 180 degrees. Thus, we can say that;

∠1 + 118° = 180°

∠1  = 180 - 118

∠1 = 62°

We also know that sum of angles in a triangle is equal to 180°. Thus;

∠1 + ∠2  + 73 = 180

Plugging in the relevant value gives;

62 + ∠2  + 73 = 180

∠2 = 180 - 135

∠2 = 45°

∠2 + ∠3 = 180 - (∠1 + 49)

∠2 + ∠3 = 180 - (62 + 49)

45° + ∠3 = 69

∠3 = 22°

Thus, we conclude that the missing angles of the Triangle are; ∠1 = 62°; ∠2 = 45° and ∠3 = 22°.

Read more about Congruent Angles at; https://brainly.com/question/14791175

#SPJ1

Answer:

x = 30 + 5y / 2

Step-by-step explanation:

The slope of the line parallel to the given line is 2/5.

Slope of a line is the measure of the steepness and the direction of the line.

Given that, an equation of a line, 2x−5y = 30

Converting the equation in slope intercept form,

2x−5y = 30

5y = 2x - 30

y = 2/5x - 30

We know that the slope of two parallel lines are equal.

Hence, The slope of the line parallel to the given line is 2/5.

For more references on slope, click;

https://brainly.com/question/3605446

#SPJ2

The angle made by the vector is [tex]\theta[/tex] such that

[tex]\tan(\theta) = \dfrac{18.4\,\rm m}{-28.7\,\rm m} \approx -0.6411[/tex]

Before taking the inverse tangent of both sides, recall that [tex]\arctan[/tex] returns a number between -π/2 and π/2 radians, or -90° and +90°. The vector in the diagram clearly makes an angle between 90° and 180°, however, so we use the fact that tangent has a period of π rad / 180° to write

[tex]\theta \approx \arctan(-0.6411) + 180^\circ n[/tex]

where [tex]n\in\Bbb Z[/tex].

Now,

[tex]\arctan(-0.6411) \approx -0.5701 \,\mathrm{rad} \approx -32.6639^\circ[/tex]

Add 180° to this to recover the correct angle.

[tex]\theta = \arctan(-0.6411) + 180^\circ \approx \boxed{147.34^\circ}[/tex]

Answer:

1

Step-by-step explanation:

1 / 3-x

x - 2/x - 3

(x - 2)/x - 3

-3/x - 3

(x - 2) + -1/x - 3

= x - 3/x - 3

Cancel

= 1

The correct answer is 2x - y +7 =0.

Various equations like equation of slope, y-intercept, slope- intercept must be known.

We have a line equation in the provided problem, and we must determine the slope and intercepts in order to create the graph. Assuming that m is the slope and c is the y-intercept, the slope intercept form is known as y=mx+c. We may determine the slope by utilizing the slope intercept formula.

The equation for the line in the problem can be written using the point-slope formula. The linear equation's point-slope form is: (y-y1) = m(x-x1)

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

y - 3 = 2x + 4

2x - y +7 =0

To learn more about slope-intercept refer the link:

https://brainly.com/question/12763756

#SPJ9

Answer: Select all the equations you can use to find the number of basketball courts, c is = 4.

Step-by-step explanation:

Given data,

Number of players on the basketball court in a city = 40

Number of teams on each court = 2

Number of players on each team = 5

Find all the equations you can use to find the number of basketball courts, 'c'.

So, we can solve it all equations,

Then,

We select equation A :
Equation A is : c times 2 times 5= 40

We can write,

Equation A is : cx2x5 = 40

simplify equation,

 c x 2 teams x 5 players = 40players

We can write,

                             cx2x5 = 40

                              cx10 = 40

                               c = 40/10

                                c = 4

Therefore, equation A use the number of basket ball courts c is = 4.

We select equation B :
Equation B is : 40 divided by c = 2 times 5

We can write,

Equation B is : 40/c = 2x5

simplify equation,

 40 players / c = 2 teams x 5 players

We can write,

                             40/c = 2x5

                              40/c = 10

                              40 = 10c

                               c = 40/10

                               c = 4

Therefore, equation B use the number of basket ball courts c is = 4.

We select equation C :
Equation C is : 2 times 5 times 40= c

We can write,

Equation C is : (2 x 5) 40 = c

simplify equation,

 (2 teams x 5 players ) 40 players = c

  (2 teams x 5 players ) = 40 players divided by c

We can write,

                             ( 2 x 5 ) = 40/c

                               10 = 40/c

                                c = 40/10

                                c = 4

Therefore, equation C use the number of basket ball courts c is = 4.

We select equation D :
Equation D is : 40 divided by 5 times 2= c

We can write,

Equation D is : 40/5x2 = c

simplify equation,

 40 players / 5 players x 2teams = c

We can write,

                              40/5x2 = c

                              40/10 = c

                              4 = c

                              c = 4

Therefore, equation D use the number of basket ball courts c is = 4.

We select equation E :
Equation E is : 40 divided by (5 times 2)= c

We can write,

Equation E is : 40/5x2 = c

simplify equation,

 40 players /  5 players x 2 teams = c

We can write,

                             40/5x2 = c

                              40/10 = c

                              4 = c

                               c = 4

Therefore, equation E use the number of basket ball courts c is = 4.

Therefore,

select all the equations you can use to find the number of basketball courts, c is = 4.

Learn more about event correlation here: brainly.com/question/28394164

#SPJ9

Answer:1/8a^9b^12

or in other words, D. Last one

Step-by-step explanation:

Answer:

Graph in the image above

Step-by-step explanation:

Answer: put 32x over 9 as a fraction and it would be a negative so put a - in front

Step-by-step explanation:

Answer: 202 ounces

Step-by-step explanation:

Because all you had to do is add all the ounces to get the amount he drank between 9 am and 2 pm!

Using linear function concepts, it is found that:

Bob's function is missing, and is given by:

f(t) = 7.2t.

A linear function is modeled according to the following rule:

y = mx + b

In which:

For this problem, the linear functions for the distances are given as follows:

The rate of change of a linear function is given by it's slope, hence they are given as follows for the functions in this problem:

The difference between the rates is given by:

7.2 - 5.9 = 1.3.

From the difference between the rates, Bob is 1.3 kilometer an hour faster than Alice.

More can be learned about linear function concepts at https://brainly.com/question/24808124

#SPJ1

Answer:

x = -6.36

Step-by-step explanation:

(18 + x) × 28 = 326

Divide both sides by 28

18 + x = 11.64

Subtract 18 from both sides

x = -6.36