Given the vector u equal to 7 (cos 330°, sin 330°) and vector v equal to
4 (cos 90º, sin 90°), find the sum u + v and write your answer in magnitude and
direction form with the magnitude rounded to the nearest tenth and the direction
rounded to the nearest degree, 0° ≤ 0 < 360°.

Answer:

The correct answer is D

Step-by-step explanation:

In order for a relation to be a function, every input for x can only have one output. Therefore, D is the correct answer.

Answer:

D

Step-by-step explanation:

A function is a relation where every input has only 1 output.

Inputs are the x's and outputs are the y's.

Answer a is missing an input.  You have (,0)  The first number is missing.

B is not a function because the input -2 has to outputs 2 and 4.

C is not a function because the input 0 has two outputs 5 and 4

The length of the remaining piece after four shelves have been cut from the 16 feet board is 1 foot.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that each board is 3 ¾ feet and Max makes four shelves. The length of the remaining board will be calculated as,

Length =  16 - ( 4 x 3 ¾ )

Length = 16 - ( 4 x15/4 )

Length = 16 - 15

Length = 1 foot

Therefore, the length of the remaining piece after four shelves have been cut from the 16 feet board is 1 foot.

To know more about an expression follow

https://brainly.com/question/18034770

#SPJ1

Answer:

1

Step-by-step explanation:

Answer:

To solve the absolute value inequality 4x+7

3

< 8, we need to first isolate the absolute value expression on one side of the inequality. We can do this by dividing both sides of the inequality by 3, which gives us 4x+7<24.

Next, we need to consider two cases, depending on whether the quantity inside the absolute value is positive or negative. If the quantity inside the absolute value is positive, then the inequality will remain unchanged. In this case, we have 4x+7<24, which we can solve by subtracting 7 from both sides to get 4x<17, and then dividing both sides by 4 to get x<4.25.

If the quantity inside the absolute value is negative, then the inequality will be reversed. In this case, we have 4x+7>24, which we can solve by subtracting 7 from both sides to get 4x>17, and then dividing both sides by 4 to get x>4.25.

Therefore, the solution to the inequality 4x+7

3

< 8 is the set of all values of x that are less than 4.25 or greater than 4.25. We can write this solution in interval notation as (-∞,4.25)∪(4.25,∞), or as a union of two disjoint intervals: (-∞,4.25) and (4.25,∞).

Step-by-step explanation:

It is proved that T/F a calculus is used  for computing filippov's differential inclusion with application to the variable structure control of robot manipulators.

In this we also get to know more about the calculus concepts and it also helps in paper to develops a calculus for computing Filippov's differential inclusion which simplifies the analysis of dynamical systems described by differential equations with discontinuous right-hand-side. In particular, when a slightly generalized Lyapunov theory is used, the rigorous stability analysis of variable structure systems is routine. As an example, a variable structure control law for rigid-link robot manipulators is described and its stability is proved.

To know more about the filippov's differential

https://brainly.com/question/14224998

#SPJ4

Answer: They always have one pair of parallel lines.

Step-by-step explanation:

The principal investment required to get an accrued amount of $5,000.00 in 821 days is  $4,494.52.

Simple interest is expressed as;

A = P(1 + rt)

Where A is accrued amount, P is principal, r is interest rate and t is time.

Given that;

Plug the given values into the above formula and solve for principal P.

A = P(1 + rt)

P = A / (1 + rt)

P = $5,000.00 / ( 1 + ( 0.05 × 821/365 ) )

P = $5,000.00 / ( 1 + 821/7300 )

P = $5,000.00 / ( 8121/7300 )

P = $4,494.52

Therefore, the principal required is $4,494.52.

Learn more about simple interest here: brainly.com/question/25845758

#SPJ1

Step-by-step explanation:

F males + weua yvy did / How does Landman’s new eclectic phase differ from Blondel’s behaviouralist phase?

Answer:

A.

Step-by-step explanation:

x^2+11x+28

first get the product and sum by using

a=1

b=11

c=28

and then

p=a multiplied by c

b=11

p=28

s=11

find any number that can be multiplied by

7&4 are the numbers

(x^2+7x)+(4x+28)

x(x+7)+4(x+4)

(x+7)(x+4)

Answer:

p=11

Step-by-step explanation:

59+8p+3p=180

59+11p=180

-59.        -59

11p=121

/11.  /11

p=11

hopes this helps

The key phase that we see in our response is "Divide the numerator by the denominator" (option C).

A key phrase refers to a phrase that contains words that define the most important part of a text. A key phrase serves as a summary of a paragraph or larger text.

In this case, the key phrase would serve to establish what was the mathematical procedure that we carried out to solve a mathematical problem. According to the above, it can be inferred that the key phrase must contain the most precise information to describe this procedure.

Based on the above, the correct answer is "Divide the numerator by the denominator" because it exactly describes the procedure that was performed.

Learn more about key phrase in: https://brainly.com/question/14108844

#SPJ1

The expected length of the piece that we are left with after breaking twice is L/4 and the variance Var(X) is 7L^2/144.

In the given question, consider a stick of length 1.

We break it at a point which is chosen randomly and uniformly over its length and keep the piece that contains the left end of the stick.

We then repeat the same process on the piece that we were left with.

We have to find expected length of the piece that we are left with after breaking twice.

In the same setting as Q7, suppose the length of the piece that we are left with after breaking twice is Y.

We also have to calculate the variance Var(Y).

Following Laws are used in the solution

Law of Iterated Expectations: E[X] = E[ E[X|Y] ]

& Law of total variance: Var(X) = E[Var(X|Y)]+Var(E[X|Y])

Now, Y = Length of the stick after we break it the first time

and X = length of the stick after we break it the second time

As both the distribution is uniformly distributed.

Now, E[Y] = L/2 and Var(Y)= l^2/12

E(x|y)[X|Y=y] = y/2 and Var(x|y)[X|Y=y] = y^2/12

As the expectation of uniform distribution over {a,b} is (b-a)/2 and variance is (b-a)^2/12

Using Law of Iterated Expectations

E[X] = E[ E[X|Y] ]

E[X] = E[ y/2 ]

E[X] = \int_{L}^{0}

E[X] = L/4

Now using Law of Total Variance

Var(X) = E[Var(X|Y)]+Var( E[X|Y] )

Var(X) = E[y^2/12]+Var(y/2)

Var(X) = (1/12)*E[Y^2]+(1/4)*Var(Y)

Var(X) = (1*12)*(Var[Y] + (E[Y])^2) + (1/4)*Var(Y)

Var(X) = (1/12)*(L^2/12+L^2/4) + (1/4)*(L^2/12)

Var(X) = 7L^2/144

To learn more about Law of Total Variance link is here

brainly.com/question/7635845

#SPJ4

The word form of equation 25 - x = 13 will be the difference between 25 and the number 'x' is 13. And its solution is 12.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Let the missing number be 'x'. Then the equation is given as,

25 - x = 13

Simplify the equation, then the value of the variable 'x' will be given as,

25 - x = 13

x = 25 - 13

x = 13

The word form of equation 25 - x = 13 will be the difference between 25 and the number 'x' is 13. And its solution is 12.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ1

The additional jump in inches that John must make to beat the record is

5 1/4 inches

The problem is solved by converting the given dimensions in ft to  inches

conversion to inches is solved using

12 inches = 1 ft

The record jump is

= 23 feet 1 3/4 in

= 23 * 12 + 1 3/4 in

= 276 + 1 3/4

= 277.75 in

John's best long jump

= 22 ft 8 1/2 in

= 22 * 12 + 8 1/2 in

= 264 + 8 1/2

= 272.5 in

John's additional jump

= record jump - John's best long jump

= 277.75 - 272.5

= 5.25 in

= 5 1/4 in

Learn more about conversion of  units at:

https://brainly.com/question/141163

#SPJ1

The value of f(-2) is -8 and the value of [tex]f(v+1)=\frac{3v+1}{|v+2|}[/tex] for the given function [tex]f(v)=\frac{3v-2}{|v+1|}[/tex].

Given function is

[tex]f(v)=\frac{3v-2}{|v+1|}[/tex]

To evaluate f(-2), we need to substitute v = -2 in the given function.

So, on substituting v = -2, we get

f(-2) = (3(-2) - 2)/|-2+1|

      = (-6 - 2)/|-1|

      = -8/1

Since we know that |-a| = a; we can write |-1| = 1.

Thus, f(-2) = -8

To evaluate f(v+1), we need to substitute v = v+1 in the given function.

So, on substituting v = v+1, we get

f(v+1) = (3(v+1) - 2)/|v+1+1|

        = (3v+3-2)/|v+2|

        = (3v+1)/|v+2|

Thus, f(v+1) = (3v+1)/|v+2|.

Learn more about evaluating functions here:

https://brainly.com/question/2284360

#SPJ1

Answer:

Option B

Step-by-step explanation:

Use the formula

[tex]x = \frac{-b\±\sqrt{b^{2}-4ac } }{2a}[/tex]

now input the values. In equation [tex]x^{2} - 5x + 7 = 0[/tex], a = 1, b = -5 & c = 7

By taking positive sign we get,

[tex]x = \frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]

⇒[tex]x = \frac{-(-5)+\sqrt{(-5)^{2}-4.1.7 } }{2.1}[/tex]

⇒[tex]x = \frac{5+\sqrt{25-28 } }{2}[/tex]

⇒[tex]x = \frac{5+\sqrt{-3 } }{2}[/tex]

In the same way, by taking minus sign, we get [tex]x = \frac{5-\sqrt{-3 } }{2}[/tex]

The expected value means what we expect to lose -$1.05 if the 1st is correct and lose -$.63 for the 2nd if that is correct.

Alright so we need to know the equation for expected value. So this turns our to be a pretty simple equation being:

E(X)=ΣxP(X=x)

So since we have all of our information we just need to use the equation. So:

E(X)= -$5*125/216+ $5*75/216+$10*15/216+$24*1/216 = -$1.045

I did notice however that there might be a mistake on this question since you have the win if 2 dice are correct as only being $10 instead of what i would think of being 16. If that is the case then the expected value is below

E(X)= -$5*125/216+ $5*75/216+$16*15/216+$24*1/216 = -$.6300

So the expected value means what we expect to lose -$1.05 if the 1st is correct and lose -$.63 for the 2nd if that is correct.

To know more about Mean refer to:

http://brainly.com/question/20118982

#SPJ4

Answer:

To solve this system of equations, we need to find the values of x and y that make both equations true at the same time.

One way to solve this system is to use the substitution method. We can start by setting the two expressions for y equal to each other:

3x = -x + 4

Then we can solve for x by adding x to both sides and simplifying:

4x = 4

x = 1

Now that we know the value of x, we can substitute it back into either of the original equations to solve for y:

Y = 3x

Y = 3(1)

Y = 3

Therefore, the solution to the system of equations is (x, y) = (1, 3).

Answer:

4/5

Step-by-step explanation:

8/40 is 1/5

Therefore 1/5 DO glow in the dark.

5/5 minus 1/5 is 4/5

4/5 of the stickers don’t glow in the dark.

Answer:

25!

in this type of questions you need to find 10 makers ( it's means you need to find numbers which has 2 or 5 in their prime factors) obviously there is a bunch of numbers which has 2 in their prime factors.

so we need to find multiples of 5. But you should be aware that some numbers have more than one prime factors of 5 e.g. 25 .

ok let's go back to the question.

starting from 1 , we've got 5, 10 , 15 ,20 &25(5²)

so the answer is 25!

The simplified form of the given algebraic expression is 3x²√5x. The correct option is с. 3x²√5x

From the question, we are to simplify the given algebraic expression.

The given expression is

√45x^5

First, we will write the given expression properly

The expression written properly is

√45x⁵

Simplifying

√45 × √x⁵

√9×5 × √x⁴×x

√9 × √5 × √x⁴ × √x

3 × √5 × x² × √x

3 × x² × √5 × √x

3x² × √5×x

3x² × √5x

3x²√5x

Hence, the simplified expression is 3x²√5x

Learn more on Simplifying an expression here: https://brainly.com/question/1280754

#SPJ1

The given functions we proved and solved.

(1) given mapping is not a function because element 1 in domain has two distinct images 2 and 3.

For the function we must have for every element of domain there must be unique image in co-domain.

It does not define a function......(option First)

(2) As we know mod function  always returns with positive sign

Therefore domain and co domain are already given to be integers.

Range set will set of non-negative integers.

(3) Here we have from the graph

f(-2)  and f(0)=1

The only map satisfies these two conditions is:

f(x) = x+1

(4) The second function f:R→R such that f(x)=2x+7 is the ony one-one function.

Because f(x)=f(y)

2x+7=2y+7

2x=2y

x=y

Hence f(x) is one one.

Learn more about Functions here:

brainly.com/question/25638609

#SPJ4

A linear equation is an algebraic equation with two or more variables in which the highest degree of the variables is one. Linear equations can be written in the form ax + b = c, where a, b, and c are all constants.16. x = 32

To solve the equation 8x - 5 = 257, we need to isolate the variable x. We can do this by adding 5 to both sides.

8x - 5 + 5 = 257 + 5

8x = 262

Then, we can divide both sides by 8 to isolate x.

8x/8 = 262/8

x = 32

To solve the equation 8x - 5 = 257, we can add 5 to both sides to isolate the variable x. This gives us 8x = 262. Dividing both sides by 8 then gives us x = 32. This is the solution to the equation.

The complete question is :

algebra 2: cc 2015 > chapter 7: solving rational equations > section exercises 7.5 > exercise 16 previous 16 answer sheet .What is the solution to the equation 8x - 5 = 257?

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4

It will grow to $9991.15

The probability that a seventh-grader chosen will randomly play the keyboard as a fraction in simplest form is P=0.68.

Probability is considering a numerical description of how likely an event is to occur or how likely it is true. In many situations, it is necessary to foresee how something will turn out in the actual world. We may be aware of the result of an occurrence or not. When this occurs, we state that there is a possibility that the event will occur. In general, probability has many excellent applications in gaming, commerce, and this newly growing area of artificial intelligence.

Seventh-grade students guitar= 8

All total students' guitar = 8+8+7+2

= 25

A instruments other than guitar = 25-8

= 17

So, p = 17/25

= 0.68

Here we use simple random sampling n/n. Thus, the answer is 0.68.

To know more about probability click:

https://brainly.com/question/11234923

#SPJ1

The value of x after simplification is 6/5.

What is an equation?

A mathematical equation is a formula that uses the equals sign to express the equality of two expressions. The meanings of the word equation as well as its cognates in those other languages can vary slightly. For instance, in French, an equation is defined as having one or even more variables, whereas in English, an equation is any well-formed formula that consists of two expressions linked by the equals sign. Finding the values for the variables that result in the equality is the first step in solving an equation with variables. The unknown variables are also known as the variables that the equation must be solved, and the unknown variable values that satisfy this same equality are known as the equation's solutions.

Main Body:

according to the given equation,

5x = 6

to solve it , divide by 5 on both sides,

5x *1/5  = 6*1/5

x = 6/5

Hence the value of x after simplification is 6/5.

To know more about equation , visit the link below:

brainly.com/question/22688504

#SPJ1

If suppose all firms at industry are well merged into a single, then the Herfindahl index must become 10,000. Option (c) is correct.

A merger among organizations generating exclusive items or offerings for one particular completed product. A vertical merger takes place whilst or greater firms, working at exclusive ranges inside an industry's deliver chain, merge operations. Historically, mergers and acquisitions generally tend to end result in process losses.

Most of that is as a consequence of redundant operations and efforts to enhance efficiency. The threatened jobs encompass the goal company's CEO and different senior management, who regularly are provided a severance bundle and allow go."). Some not unusualplace synonyms of merge are amalgamate, blend, coalesce, commingle, fuse, mingle, and mix. While these kinds of phrases mean "to mix right into a greater or much less uniform whole," merge indicates a combining wherein one or greater factors are misplaced withinside the whole.

If all firms were merged at HHI, then it would be:

1. add all share market percent

2. take square of step 1

=(18+ 17+ 17+ 17+ 16+ 15= 100)

=100*100

= 10000

To learn more about industry merged, refer: brainly.com/question/17063590

#SPJ4

Correct Question:

Refer to the data. If all the firms in the industry merged into a single firm, the Herfindahl index would become: A. 100. B. 1,000. C. 10,000. D. 100,000.

The absolute value of the expression |-25.6| + |-11.4| gives a resultant modulus of 37

The absolute value (or modulus) | x | of a real number x is the non-negative value of x without regard to its sign. For example, the absolute value of 5 is 5, and the absolute value of −5 is also 5. The absolute value of a number may be thought of as its distance from zero along real number line.

Whenever a value is in an absolute value, the result must always be positive no matter what it is. I.e the modulus of any number is always positive.

In the given expression;

|-25.6| + |-11.4| = 37

The modulus of the expression is 37

Learn more on absolute value here;

https://brainly.com/question/24368848

#SPJ1

Answer:

116

Step-by-step explanation:

42/100 (that's the percent) = 84/200

200-84=116